Quadratic Equations II Solve Mentally II No Calculation Trick II ICSE II CBSE II MCQs

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Suresh Aggarwal

Suresh Aggarwal

Күн бұрын

Solving a Quadratic Equation having real and rational roots is taught to the students at class VIII level....it forms the basis of many higher concepts....through Trick 92, students can check whether the obtained roots are correct or not.....For more such exciting videos....Keep visiting:
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Пікірлер: 860
@MrFunk-oo8fh
@MrFunk-oo8fh 5 жыл бұрын
Thank you sir. I can’t wait to show my maths teacher how wrong he is about me.
@sureshaggarwal
@sureshaggarwal 5 жыл бұрын
Great. Do share the links too
@kushalshah612
@kushalshah612 2 жыл бұрын
WOW 😳
@Onlyakash05
@Onlyakash05 2 жыл бұрын
😂😂
@prasadkumarkkalaburgi8556
@prasadkumarkkalaburgi8556 5 жыл бұрын
How to select 14 and 3..quickly that u tell us sir..
@JatinKumar-tg5iv
@JatinKumar-tg5iv 4 жыл бұрын
No ka lcm le lo bro no me hi vo 2 no honge jo list aye gi unko 1 2 se multiple kate raha na ans ajayega
@anjalirana1165
@anjalirana1165 4 жыл бұрын
Jo jaanna tha vo bataya hi nhi😒
@prasadkumarkkalaburgi8556
@prasadkumarkkalaburgi8556 4 жыл бұрын
@@JatinKumar-tg5iv This is small No. I can Factorise as u said but bro if it's big no What to do (In exams like RRB and Banking we need to solve very fastly )
@dasareddyfoundation3
@dasareddyfoundation3 4 жыл бұрын
Yes I also want to know the variable directly with a process
@devmehra4492
@devmehra4492 4 жыл бұрын
Yes bro that's why I came here for..
@examcenter8920
@examcenter8920 6 жыл бұрын
Find the root of 3x² +7x + 2. Solution: a+b=7 and a×b=6 7 is split in +1 and +6 Sign change -1,-6 Divided by coefficient of x² -1/3,-2 it is factors of given eq.
@greeshmatam7056
@greeshmatam7056 3 жыл бұрын
@Junaid product of 2 n 5 is 10 which is not d required number .. the product should be 6 that is a*b is 6*1=6.. hence an b cannot be 5 n 2 trout it adds up to 7 .. the factors should satisfy both criteria’s I.e a+b and a*b 😊
@mirandamercuri621
@mirandamercuri621 6 жыл бұрын
Fantastic! Thank you for not wasting our time with all the unnecessary info. Well done video and not patronizing as many are.
@PariGupta23
@PariGupta23 3 жыл бұрын
Hey where you from iam from india 👍👍
@fan401rai2
@fan401rai2 3 жыл бұрын
@@PariGupta23 and here we go again , simp alert .
@kalpanakowsalya3633
@kalpanakowsalya3633 6 жыл бұрын
Every video has full of simple solving techniques and very nice teaching, every student would love to learn maths instead of fear , sir, you are really a good teacher .
@billendy7425
@billendy7425 4 жыл бұрын
This is an outstanding video, I am sixty nine and relearning the process of solving quadratic equations that I learned in college 50 years ago, (and frankly never used again), just for the fun of it. This vid was so helpful! Thank you.
@sureshaggarwal
@sureshaggarwal 4 жыл бұрын
Thanks SIR for the complement. I am glad it is benefitting you. Regards.
@billendy7425
@billendy7425 4 жыл бұрын
So after watching your vid I moved on to practice problems. The first three went smoothly, then I came across this expression: 2x(2) - 8x+3; ab=6, a+b=--8. I see no factors of +6 which will add to -8,(-6,-1;-2,-3). Am I missing a step or is this an atypical expression?
@Himanshu_kld
@Himanshu_kld Жыл бұрын
@@billendy7425 u have use quadratic formula to solve because eighter middle term splitting method will no work on this
@RA-bp9tb
@RA-bp9tb 6 жыл бұрын
No more secrets and no more costs to learning!!!! The best teaching of a method seen. Thank you for sharing your knowledge, the gist of the video vs. production quality.
@bibhutigampai9229
@bibhutigampai9229 3 жыл бұрын
Really u r a great teacher. Such type of faster tricks really need in our education system so that we can easily crack any competitive exam. Thank u so much sir 👍👍👍
@pavsan8093
@pavsan8093 6 жыл бұрын
Omg thanks!!!! I usually don’t comment but this is amazing. Other teacher baby you through the process by telling you to try different numbers and stuff but I love that this is straight to the point. Thanks again!
@rohitthakur5384
@rohitthakur5384 4 жыл бұрын
Your videos help my child to score good mark due to your method in maths (75/60)
@sureshaggarwal
@sureshaggarwal 4 жыл бұрын
I m so glad
@chickoogorre827
@chickoogorre827 6 жыл бұрын
i have been to how to solve these quadratic equations... at a stage i felt like i will not be able to solve them.. but thank you so much sir.. i have really solved the questions in no time thank you so much sir ..
@achillesthewarrior9759
@achillesthewarrior9759 4 жыл бұрын
ℍ𝕚𝕚
@shashishankar1352
@shashishankar1352 5 жыл бұрын
How do you take assumption while picking values of a and b? Because out of n permutations you pick one set which satisfies a+b and 2*a*b
@Jethalal_fann_page
@Jethalal_fann_page 6 жыл бұрын
sir please solve it by factorisation (1)3x^2+5√5x-10=0 (2)3√2x^2-5x-√2=0
@chrissandorkacso3752
@chrissandorkacso3752 6 жыл бұрын
But solving for a and b in a+b=7 and ab=-30 requires the quadratic formula
@joedwards9831
@joedwards9831 4 жыл бұрын
there's a few short list of factors for 30. 30 is 1 * 30 2*15 3*10 you can quickly try adding and subtracting. There's only 6 combonations to try. there's another method for finding the square using the discriminant within the quadratic formula. The method above lets you quickly check your answer. the answer is is centered at (11/4) so the incercepts will the center +- some number. We can find that number quickly +- sqrt(121+168)/4=+-sqrt(289)/4=+-17/4 so we get 28/4 and -6/4
@mujibrahman2003
@mujibrahman2003 4 жыл бұрын
@@joedwards9831 the
@vishwaprajnapuc
@vishwaprajnapuc 6 жыл бұрын
plz tell me how to guess a+b and ab no. if any trick plz sir
@schoolsspoken360
@schoolsspoken360 5 жыл бұрын
X coefficient is sum of the roots and the product of coefficient of x square and constant team is product of the roots...
@younlok1081
@younlok1081 5 жыл бұрын
@@schoolsspoken360 i didn't understand can u explain more
@smitpujara1162
@smitpujara1162 4 жыл бұрын
younlokdz you can multiply first and last number i.e. 2 and 21 in this case which gives 42 and then find roots and 42 orally which can be(1x42,2x21,3x14) and only 3 and 14 gives 11 as answer so select that combination.This is very help for bigger numbers.
@airplanes111usa3
@airplanes111usa3 4 жыл бұрын
11 sum *Cancel the - Negative -42 product I need to find u: Sum + u , sum - u give the product (11-u)(11+u) = 121 +11u -11u - u^2 121-u^2 = -42 163= u^2 12.7671453348 = u (x+23.76714...)(x-1.76714...) It didn't work cuase this is only for 1x^2
@arunpadiyil
@arunpadiyil 3 жыл бұрын
@@smitpujara1162 ty
@yashasvprajapati6851
@yashasvprajapati6851 6 жыл бұрын
You're great sir...your methods are really simple and easy to understand. That's a really useful channel on KZbin
@jimmatrix7244
@jimmatrix7244 6 жыл бұрын
In these examples, how do you arrive with the numbers of ( 20 & -2, 10 & -3) ?
@alexanderpoltzer8885
@alexanderpoltzer8885 6 жыл бұрын
Wow! This shortcut is amazing, thank you!
@visheshagarwal778
@visheshagarwal778 3 жыл бұрын
Great! But I would appreciate it more if you would explain more on how to find the two numbers. In Quadratic equations such as x² + 10x - 3575 = 0, it's not very easy to guess the numbers.
@King_Muzi
@King_Muzi 2 жыл бұрын
quadratic formula for big numbers
@amoghmulge
@amoghmulge 2 жыл бұрын
This is what I actually needed
@Sannn8130
@Sannn8130 4 жыл бұрын
Sir you are really genius sir what is the name of this trick and how it is proofed
@richardslater677
@richardslater677 Жыл бұрын
I’m missing something. Ax^2 + bx + c =0 understood. In each example you say a+b and ab. But, you actually use ab and b, not a+b. What have I missed?
@kids12428
@kids12428 6 жыл бұрын
Sir plz cubic equation ke bhi roots ki shortcut btadob
@daniebooysen1703
@daniebooysen1703 Жыл бұрын
Thank you sir, and congratulations. The easiest method I have ever seen. Thanks for sharing. God bless.
@taygahan8001
@taygahan8001 5 жыл бұрын
If u need to find a and b from a+b and ab ,,its better use clasical way Find b2-4a c and find x1 and x2
@skmishra1685
@skmishra1685 3 жыл бұрын
Agar hm find hi kar lete un no. Ko jinka sum and product -b/a and c/a respectively hai toh solve hi na ho jata factories karke !
@shahzaibjutt3251
@shahzaibjutt3251 3 жыл бұрын
Hello sir ! Quadratic equation contains negative power ???? Just like 10 x raise to power -2 + 10x + 10 = 0 ?????
@manavsingh7905
@manavsingh7905 2 жыл бұрын
No brother, Because quadratic equation is qudratic expression equal to zero. An quadratic expression is polynomial and variable in polynomial don't have negative power.
@muraliakella7484
@muraliakella7484 6 жыл бұрын
Hello sir, In the very first tutorial i was surprised that you have very good hand writing,and good spoken english and good knowledge in mathematics.if i have a school teacher like this i dont need a job search today.i appreciate you.
@sureshaggarwal
@sureshaggarwal 6 жыл бұрын
Thanks Murali. ....do share the video links.
@anjanakannan2012
@anjanakannan2012 5 жыл бұрын
Thanks alot sir.. Your classes are really interesting.. And making us more confident..
@RajThakkar248
@RajThakkar248 Жыл бұрын
Why will this method not work for the quadratic equations with irrational or non-real roots?
@Acreus_the_wandering_pagan
@Acreus_the_wandering_pagan 6 жыл бұрын
Thanks sir... You are a beacon of light for students like me who are very weak in maths...
@jossyjohn9939
@jossyjohn9939 6 жыл бұрын
Yeah lol
@upkarsingh649
@upkarsingh649 6 жыл бұрын
Its great method to solve quadratic equations
@keegan2468
@keegan2468 5 жыл бұрын
Does this work every time if the constant is positive as well?
@jimbobago
@jimbobago 7 ай бұрын
Yes, x² + 6x + 8 = 0 would work too.
@_geeta_arya2556
@_geeta_arya2556 6 жыл бұрын
How would we know where to apply sigh negative or positive in 1st or 2nd
@saleemshaik7874
@saleemshaik7874 4 жыл бұрын
It was just wonderful, awesome, historic ,epic sir...Can't even say in words..... hatsoff to u sir
@bhuvankumar8295
@bhuvankumar8295 6 жыл бұрын
Sie, please make a video on "How to teach compound proportion in simplest way"
@kausarkhan2302
@kausarkhan2302 4 жыл бұрын
Sir very well taught but can you show the whole problem slower but explain the 2nd part it was a bit confusing. Where and do you know the numbers are 14 & 3???
@mukeshkumaryadav350
@mukeshkumaryadav350 5 жыл бұрын
Wow ! amazing sir . You saved me a lot of precious time. Thank you so much
@sureshaggarwal
@sureshaggarwal 5 жыл бұрын
Great. Do share the links with your WhatsApp groups and contacts
@imaginestrike1840
@imaginestrike1840 5 жыл бұрын
sir you are very good teacher. Your teaching lenguage is very good thank you sir jii
@sureshaggarwal
@sureshaggarwal 5 жыл бұрын
Thanks. Do share the links with your WhatsApp groups and contacts
@ABHISHEK__BHATI
@ABHISHEK__BHATI 6 жыл бұрын
SIR , ACTUALLY THE PROBLEM IS , HOW TO FIND OUT a*b=? & a+b=? , which ur trick is not considering , other trick will be used here . all other tricks are helping. -7+(-6)=11& 7*6=42 what about this ?
@sravani-tr5kf
@sravani-tr5kf 4 жыл бұрын
Hi sir,What is the use to know the a+b and ab we are not using it
@venkatraju3146
@venkatraju3146 7 жыл бұрын
sir your tricks are excellent.sir pls improve lighting on board. size of letters
@sureshaggarwal
@sureshaggarwal 7 жыл бұрын
+venkat raju.....will try
@abdulrahmanabdullahi2651
@abdulrahmanabdullahi2651 5 жыл бұрын
You have say the truth
@shivashankaryadav7820
@shivashankaryadav7820 6 жыл бұрын
Soon you will become all India famous faculty sir
@sureshaggarwal
@sureshaggarwal 6 жыл бұрын
Thanks
@time9496
@time9496 3 жыл бұрын
@@sureshaggarwal all over world
@sujitkumarbiswal1894
@sujitkumarbiswal1894 6 жыл бұрын
Thank you sir.... great job....I cleared my doubt after a long time...
@sanjanasharma963
@sanjanasharma963 6 жыл бұрын
sir how to find value like 21x2=4(2x+1)
@karamdhaliwal8786
@karamdhaliwal8786 5 жыл бұрын
Its answer is 42=8x+4 42-4=8x 38=8x X=38/8
@joycebadu7089
@joycebadu7089 2 жыл бұрын
Thanks for the teachings
@moshkamal1
@moshkamal1 6 жыл бұрын
is there a trick to know how to find the two numbers whose product and sum equals the constant and the middle term?
@sewaniguria7332
@sewaniguria7332 5 жыл бұрын
I didn't understand how came -14 nd 3 ..plz explain sir?
@MrShahidalileghari
@MrShahidalileghari 5 жыл бұрын
We have to find numbers whose sum is -11 and product is -42. If you add -14 and 3, you will get -11. If you multiply them you will get -42.
@bhavaniravi3509
@bhavaniravi3509 6 жыл бұрын
awesome sir.. I love this method. But in exams I don't think,teacher will not give enough mark.
@NitinBishnoi.
@NitinBishnoi. 3 жыл бұрын
huge respect and what an easy method you just taught , i just to touch your feet . thank you very much
@DharniBS
@DharniBS 5 жыл бұрын
@ 0.52 second line a=2, b=-11 a+b = -11 ?
@mayankraj9249
@mayankraj9249 4 жыл бұрын
Sir, when I first watched your video, I totally liked it. I'm in Class VIII and by watching the video, I learnt that maths isn't difficult if you understand it. I subscribed.
@sristiroy5440
@sristiroy5440 6 жыл бұрын
Thank you sir.. thank u so much. I'm very great full to you sir.
@miklosurmos565
@miklosurmos565 6 жыл бұрын
Following these steps won't bring us to another quadratic equation? For example if we wish to solve the two linear equation there with a and b, we would need to write a(n-a) =m which is actually another quadratic. Just by looking at a and b, won't really tell me their value from those two linear equations.
@stevewatson2383
@stevewatson2383 5 жыл бұрын
Yes. It will lead to another quadratic but we dont have to do that. We have to guess two numbers whose sum is coeff of x(s) and product is coeff of x^2 * constant term(p). That can be done by writing all pairs of integers that multiply to p and find which pair's sum is s.
@eshovictor7783
@eshovictor7783 4 жыл бұрын
Thank you so much this really helpful
@sureshaggarwal
@sureshaggarwal 4 жыл бұрын
The following PDFs are available: 1) 30 short tricks for faster multiplication for Rs 49 only. 2) 30 short tricks for squares square roots cube and cube roots for Rs 49 only. Pay through paytm or googlepay 9896369963 or paypal on mail ID drsureshaggarwal73@gmail.com and send a screenshot on this number WhatsApp. You will get the pdf immediately. HAPPY LEARNING :-)
@AjayTiwari-ey3dt
@AjayTiwari-ey3dt 6 жыл бұрын
Really knowledgeable teacher thanks a lot for making it this easy
@rpapte7138
@rpapte7138 3 жыл бұрын
These kind of careless people are very few in the world. Thanks for this sir👌
@hariharen5784
@hariharen5784 4 жыл бұрын
The difficult part is finding the 2 numbers, if you teach us how to find that, it would be more easy.
@asadshah7844
@asadshah7844 4 жыл бұрын
Its very easy
@vineetshukla4819
@vineetshukla4819 4 жыл бұрын
@@asadshah7844 can you explain
@johnmartin300
@johnmartin300 5 жыл бұрын
Thank you sir for the short cut . Very well explained .
@sureshaggarwal
@sureshaggarwal 5 жыл бұрын
Thanks. Do share the links with your WhatsApp groups and contacts
@jyotihembram7473
@jyotihembram7473 6 жыл бұрын
Very Nice trick sir... Thank you very much
@lokeswaryguruvu6506
@lokeswaryguruvu6506 6 жыл бұрын
Thank you sooo much sir for ur tricks.They are really useful and time saving.
@Rishukumarmaurya0
@Rishukumarmaurya0 3 жыл бұрын
Sir please tem 1 ke liye sabhi chapter ke short tricks bata dijiye sir math ka CBSE students ke liye 🙏🙏🙏🙏🙏
@ramakantshukla2228
@ramakantshukla2228 5 жыл бұрын
Great it's one of a nice tric to solve for 2nd degree eqn
@shubhambarman5913
@shubhambarman5913 5 жыл бұрын
But how can we solv equation if a+b =5 , ab=29
@anshulatreya7102
@anshulatreya7102 5 жыл бұрын
(a+b)^2, expand it and solve.. (5)^2= a^2 + 2(29) + b^2
@Raj-ut3xr
@Raj-ut3xr 6 жыл бұрын
6x^2 -18x +12 ,how will we find e root of this sir...if we change the sign...
@kunald7401
@kunald7401 6 жыл бұрын
ab =72 so -12 and -6 now change sign 12 and 6 and divide by 6 so ans will be 2 and 1
@anujab9745
@anujab9745 2 жыл бұрын
Very informative sir🙏
@tmj8294
@tmj8294 6 жыл бұрын
Very good method and dictation also
@shaziakousar25
@shaziakousar25 5 жыл бұрын
Sir u are amazing.... Do make more videos with these tricks
@sureshaggarwal
@sureshaggarwal 5 жыл бұрын
Sure. Do share the links with your WhatsApp groups and contacts
@jayantapaul7042
@jayantapaul7042 5 жыл бұрын
This formula is applicable for only few quadratic equation.
@sumanraut3008
@sumanraut3008 5 жыл бұрын
Wow sir I'm first time watching your video,u r very genius.
@insanegaming4414
@insanegaming4414 4 жыл бұрын
Legendary sir ,best method
@souvikkundu8899
@souvikkundu8899 4 жыл бұрын
but some times we must use sridharachariya sutra.. what did we do in such case?
@billlawrence4047
@billlawrence4047 3 жыл бұрын
GREAT instruction!!!! Can we send you to America and help out our math students. Common Core has done irreparable damage to their math skills. Thank you!
@THE_HEKEX
@THE_HEKEX 2 жыл бұрын
Thank you so much sir you are really great keep it up 😘 sir ❤️❤️
@monstrousgeek4453
@monstrousgeek4453 6 жыл бұрын
Sir, good ,very good, excellent, nice, tremendous
@damiane2402
@damiane2402 5 жыл бұрын
1st. Thanks for shareing your knowledgment! 2nd. Sorry, but i dont understand how obtain the -14... in the 1st example 3rd. Why you put a+b=-11?? I see just this: b=-11... Please is very important to me your messege!! Thanks a lot again!!!
@kabitachakraborty1212
@kabitachakraborty1212 5 жыл бұрын
You should better leave mathematics.
@damiane2402
@damiane2402 5 жыл бұрын
Kabita Chakraborty i do the exercices and realized that he is talking about factors!!! Sorry.... :( u r right
@damiane2402
@damiane2402 5 жыл бұрын
Kabita Chakraborty i d like to be as smart as you...
@archanagupta2348
@archanagupta2348 6 жыл бұрын
So nice but sir for finding two no. Any easy rule how to think about two no by . Any shorcut method
@somratdutta
@somratdutta 6 жыл бұрын
Sir you are awesome, can you develop some JEE centric tricks for mathematics.
@datasecured6106
@datasecured6106 6 жыл бұрын
sir pls organise ur videos into playlists that will work the best
@AkhilAIIMS
@AkhilAIIMS 4 жыл бұрын
Thank you so much sir
@gowthamv4236
@gowthamv4236 4 жыл бұрын
So if the coefficient of X square is 1 then the two nos sign shuld jus be capsized, is it right?
@Abndhani
@Abndhani 4 жыл бұрын
From quadratic quation standard form you will find values of a ,b and c Then decides two numbers such that their sums equals to b and their product is product of ac. Then replace these two numbers sums with b and solve
@debatewithaliyan826
@debatewithaliyan826 6 жыл бұрын
Very nice ..I am impressed by your method..thank u so much
@_yathakshat_
@_yathakshat_ 3 жыл бұрын
Thankyou sir for this great video.
@naredlateja2243
@naredlateja2243 6 жыл бұрын
changing the sign and dividing with x quotient is ok......but finding those 2 numbers is the main task which consumes more time.Teach us if you have any tricks to find those quickly....
@sureshaggarwal
@sureshaggarwal 6 жыл бұрын
+naredla teja ....Factor method applies here
@elector2020domain
@elector2020domain 5 жыл бұрын
2nd problem the a+b is 18 ab as-40 but you putting 20,-2 how to this... Am not understand pls explain any
@devsavla8992
@devsavla8992 5 жыл бұрын
ab is -40 ( product ).This is sum of 20*(-2).Therefore a+b= 18(20-2).Hope you did understand .@elector 2020
@ramasravya3838
@ramasravya3838 6 жыл бұрын
sir how can we find for such an irrational number is mixed in sucha a quadratic equation
@indian4134
@indian4134 6 жыл бұрын
u r method is work out for small numbers.......how to find fraction of that number...that is important
@sureshaggarwal
@sureshaggarwal 6 жыл бұрын
Use it for small numbers then
@yashmehta6330
@yashmehta6330 5 жыл бұрын
How to find that no. Whose sum is 18 and multiplication is - 40? Please give reply sir... I need it....
@sureshaggarwal
@sureshaggarwal 5 жыл бұрын
Will post a video for that soon
@AllInOne-vz3cm
@AllInOne-vz3cm 7 жыл бұрын
sir what about irrational and non-real no......if u had made any video for that then plz send me the link..
@shaunjoshi5434
@shaunjoshi5434 6 жыл бұрын
Sir please upload videos for preparation of nda and na exams.
@xmohitverma
@xmohitverma 3 жыл бұрын
Outstanding math tricks
@vivek-ng7si
@vivek-ng7si 6 жыл бұрын
Before trying this method we have to make sure that it's roots are real and rational.so how will you be sure?
@hithisish
@hithisish 3 жыл бұрын
Sir can you show how to get the zeroes if the equation has root in it? Like if the question is x² -√2 x-12= 0
@LingarajBaghajodia7
@LingarajBaghajodia7 3 жыл бұрын
Sir this method You will be God level tipes
@deepthideepthi3701
@deepthideepthi3701 4 жыл бұрын
Thank u so much sir this was really helpfull to give my best in the chapter Linear in equations
@saimanasa8904
@saimanasa8904 4 жыл бұрын
First of all thank u sir for teaching these type of shortcuts which are more useful and also make a video to split larger number in quadratic equation
@ParamjeetKaur-kk5hs
@ParamjeetKaur-kk5hs 6 жыл бұрын
Factorize 3x2+80x-75
@michealbmillzlynnmass4928
@michealbmillzlynnmass4928 5 жыл бұрын
Thank you for teaching an easy method to solve a quadratic equation
@sureshaggarwal
@sureshaggarwal 5 жыл бұрын
Do share the links with your WhatsApp groups and contacts
@sinan_egemen
@sinan_egemen 3 жыл бұрын
Sir can you tell me that how can I find the two numbers to which when I multiply and plus minus gives the required number because I sometimes confused in finding that
@NilashaMajumder
@NilashaMajumder 4 жыл бұрын
You have explained in the most easiest way ....good job sir ...👍👍
@prasadamity5631
@prasadamity5631 5 жыл бұрын
superb explanation sir ...thank you so........... much sir
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