Proof of the Quadratic Formula - Easy Explanation

[@melcomc19]

I like the way that you go step by step and not take it for granted that we should already know the smallest step.

[@PreMath]

Thanks Melcom O for the feedback. Kind regards :)

[@yosiganish1218]

The proof of the formula was not easy to understand because it long and winding explanation even though he make it step by step

[@ibraimidi3208]

Sir God will bless you forever , your too good

[@PreMath]

Dear Ibraim IDi, thank you so much for your feedback! Please keep supporting my channel. Kind regards 😀

[@SALTUBE0324]

I am Japanese. In Japan, this lighting is not on KZbin and it helped me a lot. Thank you so much.

[@rasmusgyldenvang8046]

you are the biggest legend and just rescued my math assignment! keep on going my guy

[@ChavoMysterio]

Completing the square is one of the proofs in the quadratic formula.

[@PreMath]

You are correct my friend! Take care dear and all the best😃 Have a very happy and blessed New Year!

[@jokutoinen1236]

Me halfway to the video: Oh yeah, it's all coming together

[@PreMath]

I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@Shubham-z2d4t]

Love you bro what great explanation.

[@sgarkhail]

Thanks

[@lamgai5405]

You are a best teacher I ever met💯❤

[@Teeeeanddeeee]

OMG you are there best sir. More wisdom and grace. This just saved me a punishment in class

[@PreMath]

So nice of you dear Tobechukwu Nwankwo! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@aashish4210]

Sir in 4.00 minute where did the bx/a go sir?

[@well_i_say]

right? i want to know too

[@Thesketch_guy]

What happened to the (b/a)x on the left hand side after bringing x²+(b/2a)² together? Where did it go?

[@komorebi5816]

Thanks so much!! ur a much better teacher than my one !👑💖

[@Syntaxxed]

MATH PORN!! I was so frustrated using this formula and not knowing where it comes from! Why don't teachers start by writing the proof first? Now it makes sense for me to use it. Thanks a lot!

[@devaditya6473]

I like your teaching love from india

[@PreMath]

Thank you so much Dev Aditya for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep supporting my channel. Kind regards :)

[@oshadarathnayake7311]

Thank you very much for this useful video.

[@Jayesh728]

thank you so much sir I stuck in 5:15 I was thinking how 4a² is lcm but now I understand by this fabulous explanation 🙏

[@SanjayKumar-jh9nf]

I was stuck when I did not know to add b/2a on both sides, if I had known that I could've done rest of it

[@adepojutimilehin680]

How did you get rid of (b/a)x

[@ajaymeena3771]

thanks sir and love from Rajastan, India

[@jamesmaria8325]

Thank you very much sir for the way you explained it step by step I really appreciate . Once again thank you sir

[@PreMath]

You are very welcome Maria! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep sharing my channel with your family and friends. Take care dear and all the best 😃

[@adithyapj4632]

THANK YOU SIR.... Very much clear... Love from Kerala, India...

[@PreMath]

You are very welcome dear Adithya from beautiful Kerala! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Stay blessed and healthy😃 Greetings from USA! Very happy New Year!

[@adithyapj4632]

@@PreMath 😍👍

[@siimseiin]

Since when did this new rule come with you have to devide letter on all other letters?

[@pingmendoza719]

Very clear! Exemplary explanation.

[@arifghori7683]

most easiest way amazing sirr

[@ankushsaini5578]

Thank you sir ☺️

[@priyadarshinichoudhary2483]

Very nice explanation.... .. 👍

[@navyaanchauhan_823]

What we call that process in which we take middle part half square and add on both sides .

[@ektasingh6397]

Thank you sir it cleared all my doubts on my halfway of the video...!!Really sorry great explanation..!! 👍👍

[@MathCuriousity]

@premath would you say this is sufficient to prove that “all quadratics have two complex roots”? What I mean is, is this enough as a proof without having to use some more advanced theorems?

[@sachinphile]

simple manipulation , amazing formulation!

[@PreMath]

Thanks Major for the visit! You are awesome 👍 Take care dear and stay blessed😃 Kind regards Love and prayers from the USA!

[@jaymathtips]

I’ve really learned , thanks

[@aakashkarajgikar3935]

5:43 Did you know that you are using the "Commutative Property" with addition?

[@ryanwillike8609]

This might be a dumb question but why isnt x divided by A in the second step, why it is b/a x not bx/a?

[@brutalgaming1305]

Can you tell me why we don't break under root from Numrators. Thats the main step

[@thirumalai8106]

Very nice explanation

[@PreMath]

Dear Thirumalai Nathan, I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@shortvideoofficialup6528]

I am new on your channel But I really like your proof Thanks sir Love you a lot.

[@PreMath]

Thanks and welcome dear Adarsh Patel! Take care😃

[@rafichoudhary651]

It's amazing 😍😍😍 sir

[@PreMath]

Thank you so much Rafi Choudhary for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep supporting my channel. Kind regards :) --

[@faithnte]

You made your common denominator 4a2 but only multiplied -c/a with 4a, why is it that?

[@sweetdarkness8572]

Sorry for answering, but I think it should be done so the denominators on the right side would be the same, hehe

[@omkartikekar6016]

Just amazing tutorial video sir🇮🇳🇮🇳🇮🇳

[@PreMath]

So nice of you Omkar! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and all the best😃 Keep rocking!

[@abhinavrathod7692]

nice explanation sir you are great

[@thomasaskew1985]

Thank you. You are a godsend.

[@mr_sher1749]

This video doesn’t explain….WHY DID YOU RANDOMLY DECIDE TO DEVIDE BY 2….why not do b/50a?….just coz it suits you doesnt mean its a proof!

[@redahmede]

it is not random.if u have (u+v)^2 it gives you:u^2+2(u)(v)+v^2 then if u compare 2(u)(v)=(b/a)x it gives you v=b/2a as simple as that

[@redahmede]

and if you look at the equation it look like a a^2+2(a)(b)+b^2

[@jolenegan]

this is the part i don’t understand too! why are we dividing by 2!

[@davidbell8401]

Root memorization. Most people can show you what you need to do. Explaining why is what most people cannot tell you.

[@ZahidHussain-ru9yl]

What is proof of quadratic equation using quadratic formula.

[@mehillicit18]

Sir may you live long thanks 😊😊😊

[@muzwamasimusifali]

Thank you very much🙏🙏

[@johnrussel4483]

2:27 there is something missing, explain why you to divide by two and then square.

[@MariamAhmed-gj3ik]

Thank you ❤️ ❤️

[@PreMath]

You are very welcome Mariam! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and stay blessed😃

[@marvellouskelechi8301]

Well explained!

[@mayabelle7558]

Thank you so much for this

[@kanchankumarsrivastava7380]

Thankyou for making this video

[@PreMath]

You are very welcome Kanchan! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@JavedIqbal-ul9cp]

Thank u much sir god bless u

[@PreMath]

You are very welcome Javed! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and stay blessed😃

[@aaj3493]

why did we divide b/a by 2?

[@aaj3493]

also, why didn't we take bx/a in the 4th line

[@G_money333]

This is a little late, but you do it to complete the square

[@quadrillionairesempire8819]

Why we multiply 4a to -c/a on right hand side

[@shanmukh4341]

AFRASIYAB AKHUNZADA he has taken the square of (b/2a)2

[@sweetdarkness8572]

So the denominators on the right hand side would be the same

[@RahulYadav-vi5vd]

Sir I don't understand one thing when you do under root on b2 why don't you write b and for 4a2 you write 2a . Sir please tell I don't understand this thing .

[@itsmemailingyou4234]

He simplified the square root of 4a^2. Square root of 4 is 2, and square root of a^2 is a, leaving 2a.

[@somanpatra2193]

6:38 & 6:58 After sq rooting denominator 4a² why didn't you write ±2a, bcoz sq root of 4a² is ±2a And ± / ± = + ,. Right?

[@dipteeshukla7]

I guess because denominators are never negative...if they are incase, the negative sign shifts to the numerator....and if the numerator and denominator both are negative, the negative signs cancel out each other!!

[@abdulrafaymalik4470]

Thank you sir you can teach us a very easy quid to solve this question

[@nasreenhayee1522]

Wow it has been 2 year still helping

[@PreMath]

Thanks for the visit! You are awesome 👍 Take care dear and stay blessed😃 Kind regard

[@nasreenhayee1522]

@@PreMath You are welcome, thank you, you too you are such a great teacher

[@kabid1777]

2 is missing if we open x+b/2s raised power square

[@thomasshelby-bw4gn]

man thank u so muchh this made me understand

[@AmjadAli-lk3pf]

Where this formula is, we will use...

[@badarahmad6860]

sir how did you make 2a out of under root 4a² it becomes 4a when we cut ² with under root

[@PreMath]

Dear Badar, 4 can be written as 2² . 4a² = (2²)(a²) = (2a)² => Sqrt (2a)² = 2a If you still have a question, please don't hesitate to reach me. Thanks for asking. Take care dear and keep watching😃

[@badarahmad6860]

thanks sir i have another qs why we write ±sign after square root

[@PreMath]

@@badarahmad6860 Since we are dealing with the Quadratic Equations, the highest degree(power) is 2 => That means, we must have two solutions => That's why we write ±sign after square root => one solution with + sign, and the other with - sign. Hope that helps. All the best. Take care Badar 😃

[@sasrikaneewin818]

You are a legend!

[@PreMath]

So nice of you Sasrika Thanks dear for the feedback. You are awesome 👍 Take care dear and stay blessed😃 Love and prayers from the USA!

[@onlydreams4328]

Thank you so much sir

[@rheygamul3439]

thanks a lot sir

[@PreMath]

You are very welcome Rhey Gamul! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@vascobishop3359]

Very clear

[@ntirupathirao3583]

Tq you very much sir.For your explanation.😊😊😊

[@PreMath]

You're very welcome Mr. Rao! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep supporting my channel. Kind regards :)

[@kdrkhtube1518]

very fine you explein

[@bilalyusuf2783]

Math teacher ❌ Indian guy on KZbin ✅

[@sarthaksood5254]

God bless u the son of maths

[@BontleHlongwane]

thank you sir so much

[@lathasn1208]

Thank you sir

[@manishasinha1872]

Why we should divide b/a by 2...plzzz ans

[@shanmukh4341]

he has taken half the CO efficient

[@justinseagull9570]

for completing the square

[@sgarkhail]

Please accept Our humble thanks contribution. Regards

[@overdosegamingyt2022]

Thankyou sir

[@AmjadAli-lk3pf]

Please explain with a sketch....

[@idkanaccountname]

Like putting together a puzzle 🎉

[@milkneet9781]

Wow sir I was searching this conclusion and just found it thanks.

[@PreMath]

So nice of you Nihar dear! Stay blessed and healthy😃 Very happy New Year!

[@frankmumbi7284]

By completing the square, solve the quadratic equation 4.6y+3.5y-1.75=0 .

[@DanielRumba]

That is not a quadratic equation

[@TheFlax33]

Nice

[@ashukashyap7544]

Satisfy the quadratic equation by putting the obtained value of x in that equation

[@zoraavarbhai6009]

Expressed good

[@PreMath]

Thank you so much! Please keep supporting my channel. Kind regards 😀

[@amit_yadav8418]

Masta masta

[@PakistaniCows77]

Thank you Sir. Sir I am watching this video today. 03:01:2024

[@uttamamisra4956]

It is very complicated

[@davidoneill2466]

There is an easier why to do this Multiply by 4A and complete square

[@heeetv6463]

Nicee

[@aabidmohammedrather3607]

God Bless

[@Lanadelreyzzzz198]

Some one explain to me in malayalam 😢

[@vdas06]

👌

[@AbhayPandey-dd6br]

🅾🅿 🆂🅸🆁

[@PreMath]

Thanks Rajan dear for the feedback. You are awesome 👍 Take care dear and stay blessed😃

[@NomadGearShift]

Yah to phazool cheez hai na mai to kuch be prove karu ga apni marzi ksi kuch be add ya multiply kr ka. Eg. 3=9. Square b/s 3²=9² 9=9² 9=√9² 9=9 :. 3=9 Kuch aaisa he phazool hai I know maina kuch be likha upar (yah ghalat hai) although it is Same

[@rudrapatel9609]

Sir plz speak fasterr