If I put for x=-0,5, in the equation, then the solution of the equation is 1,11'. For this I try with the number -0,485 and put it for x. Then the solution of the equation is: [(-0,485+1)^2/-0,485^2] - [(-0,485+1)^2/(-0,485-1)^2 =1,006 <=> x=-0,485
@yashitatripathy2642Күн бұрын
I will dieeeee by solving this complex solution... 15mins long explnation for a single question..... !!!!!!!!!!! (
@prime423Күн бұрын
Mathematical thought. The square root and squaring do NOT cancel.!!The square root of x squared is the absolute value of X.Thats where the plus or minus come from!!
@user-sq2he6pk9fКүн бұрын
答案是根號3-1,非根號3+1
@user-jd9uo5rm8yКүн бұрын
Solution is so Long.it takes so much time
@richardreiter6861Күн бұрын
Your quadratic equation is wrong. You need to correct it
@richardreiter6861Күн бұрын
In quadratic equation you were solving for 1/x. Not x As well as 2A is in denominator
@taniacsibi6879Күн бұрын
Soluția este greșita radical din 3-1 e buna
@user-sq2he6pk9fКүн бұрын
答案是根號3-1
@Buy_YT_Views_94Күн бұрын
my wife loves watching your videos
@josejefferson2812Күн бұрын
a`5=32=2 '5so a=2
@superacademy247Күн бұрын
Perfect 🥰. Now go after complex solutions!
@bobbyheffley4955Күн бұрын
The complex solutions can be written in terms of square roots; no cube or higher roots are needed.
А не проще логарифмировать Получаем простое квадратное уравнение относительно log (x+3) log (x+3)*(log(x+3)+log 3)=1-log3 Я думаю что решение будет 2-3 минуты, а не 14 минут как на видео
@superacademy247Күн бұрын
The equation requires manipulation of discriminant which consumes substantial amount of time
@user-ee7nw2rx9sКүн бұрын
@@superacademy247 Если заменить log (x+3) = а^2+а*log3 - (1-log3)=0 Дискриминант (log 3)^2+4*(1-log 3) Легко посчитать что это (log 3-2)^2 Тогда очень легко а=( - log3 + log3-2)/2=1, a=(-log3 - log 3+2)/3=1- log3=log (10/3) x+3=10, x=7 x+3=10/3, x=1/3
@Mal1234567Күн бұрын
I solved this in my head in 2 tenths of a second.
@superacademy247Күн бұрын
Did you get all five solutions?
@andresaspillaga7361Күн бұрын
You lost half time ofrece the video saying and doing nothing important.
@superacademy247Күн бұрын
The demonstration in the video is factorial crash course.
@phonemaniacgamingyt16592 күн бұрын
2 , a⁵-32=0 aεR Move 32 to the right Change 32 to 2⁵ a=2, aεr
@tunneloflight2 күн бұрын
Trivial. a = 2 AND the other four imaginary roots separated on the "unit" circle ( times 2 ) and spaced 2*pi/5 radians apart radially around the circle.
@MrGeorge1896Күн бұрын
...which can be expressed by the term x = 2 * e ^ (2/5 n i π) with n = 0, 1, 2, ..., 4
@BUY_YT_Views_312 күн бұрын
Practice self-care and self-love to overcome negative energy. Nurture your mind, body, and soul with activities that bring you joy and peace
@ameryazdanparast67922 күн бұрын
For y2(no y1) you forgot to wrote 2 in dominator!!!
Inside the formula you wrote inside the square-root should be 2 square root of ab ; not 2ab
@UKPEINDANIELU.2 күн бұрын
Fantastic
@superacademy2472 күн бұрын
Thank you so much 😀
@suchitranagarajan1952 күн бұрын
Y=3x+4 So x(x+4) y(y+4) =2, 8 (X^2 +4x) (y^+4y) =2, 8 Can we do like this?? ? Iam getting sol for x as -2, (-6+-2√3) /3 Is that correct? ?
@AZ-by5ps2 күн бұрын
It is very simple solution but you make it very long solution. Pls simplified it.
@gnanadesikansenthilnathan67502 күн бұрын
3 + 2√5 got it
@user-dq3uh6ee5w2 күн бұрын
3+2V5.
@surendrakumawat56452 күн бұрын
Teacher or barbar
@billv392 күн бұрын
This isn't as rigorous as your solution but here's an alternative. The problem suggests a solution of the form x = a + b√2. Then x^3 = a^3 + 3a^2 * b√2 + 6a * b^2 + 2√2b^3 = 55 + 63√2 Regrouping x^3 = a^3 + 6a*b^2 + √2*(3a^2*b + 2b^3) Alternately x^3 = a(a^2 + 6b^2) + √2*b(3a^2 + 2b^2) If the proposed solution is valid, the first term should equal 55 and the second should equal 63√2. Or 55 = a(a^2 + 6b^2) and 63 = b(3a^2 + 2b^2) The first equation above indicates that a > 0 since the terms inside the parentheses are positive. Similarly the second equation indicates that b>0. So the first equation factors into: a a^2 + 6b^2 1 55 5 11 11 5 55 1 b can be determined for each pair. It equals 3 for the first and is imaginary for the others, i.e. only the first pair gives a valid solution of the first equation. Substituting a = 1 and b = 3 into the second equation gives 63, which satisfies it. So the solution is 1 + 3√2
@superacademy2472 күн бұрын
Wow! Nice solution from awesome approach. Thanks 👍💯 for your input and support
@denzilgounden40442 күн бұрын
X=3
@peterotto7122 күн бұрын
A whole Lot of arkward manipulations, senseless!
@superacademy2472 күн бұрын
Show us your method. Senseless how? It's produced the solution. What do you mean awkward? Why use insultive language with no apparent reason? Why do you want me to think like you while I'm an individual?
@woobjun25822 күн бұрын
Be careful to choose your word for other's hard works. I think you have no right to judge one's work simply by "senseless". You obviously awe him an apology!
@denzilgounden40442 күн бұрын
64m2-64m3=3
@BUY_YT_Views_6652 күн бұрын
Your video has a unique charm that sets it apart from the rest. Captivating!
@rodneynicholauson45663 күн бұрын
You need a roadmap to get to the solution.
@superacademy2472 күн бұрын
Absolutely 💯
@msafasharhan3 күн бұрын
Diffecult to under stand why you but y from where you bring
@woobjun25823 күн бұрын
He introduced the conjugate!
@superacademy2472 күн бұрын
I like your explanation. Thanks 👍💯 for your input
@woobjun25822 күн бұрын
@@superacademy247 I hope you to ignore any negative comments on this. For similar problems, your way is somewhat new. I like your way, too!
@suchitranagarajan1953 күн бұрын
Instead of expanding to powers can we use log? ?
@superacademy2472 күн бұрын
You can apply logs but the solution will be sluggish because of approximation
@roger-58793 күн бұрын
@ahmethulisiarslan8829 Votre affirmation que les eéponses sont fausses est une insulte gratuite envers "Super Academy" delta = ( log 3 - 2) ^2 donc de forme (a-b)^2 mais (a-b) ^ 2 = (b - a) ^2 car a^2 - 2ab + b^2 = b^2 - 2ba +a^2 donc ( log 3 - 2) ^ 2 = (2 - log3 ) ^ 2 et racine de delta = +/- (2 - log 3) Sachez aussi que la formule [ -b +/- sqr(Delta) ] / [2a] peut aussi s'écrire [ -b -/+ sqr(Delta) ] / [2a] Réflécissez avant de poster un commentaire !!!! Prenez le temps de réviser les formules fondamentales @ahmethulisiarslan8829 Your assertion that the answers are false is a gratuitous insult to 'Super Academy' delta = (log 3 - 2) ^2 therefore of form (a-b)^2 but (a-b) ^2 = (b - a) ^2 because a^2 - 2ab + b^2 = b^2 - 2ba +a^2 so ( log 3 - 2) ^ 2 = (2 - log3 ) ^ 2 and root of delta = +/- (2 - log 3) Also note that the formula [ -b +/- sqr(Delta) ] / [2a] can also be written [ -b -/+ sqr(Delta) ] / [2a] Think before posting a comment!!!! Take the time to review the fundamental formulas Kind regards
@UKPEINDANIELU.3 күн бұрын
Fantastic
@superacademy2473 күн бұрын
Thank you so much 😀
@ahmethulisiarslan88293 күн бұрын
These answers are wrong because the values in the square root are positive in absolute value. The value of log3-2 is negative. When the square of this value goes outside the square root, it should be 2-log3. Kind regards.. time:6:54
@superacademy2473 күн бұрын
Your point of view is correct and I've taken it seriously going back to rewatch the video .But after applying your method the answer reverts to the one shown on the video. Thanks for your ardent analysis. This video is very classic because it teaches something new, thought provoking solution. I think I could have gone into details on how I manoeuvred through the square roots.
@woobjun25823 күн бұрын
Thanks a lot for step-by-step solving process. By letting 3(x+3) = t, the given becomes t^(log(t)) = 10. taking log both sides log(t)•log(t) = log(10); [log(t)]^2 =1; log(t) = 1 or -1. t = 10 or 1/10 That is, 3(x+3) = 10 or 3(x+3) =1/10 will be a little simpler.
Thank you for taking the time to prepare this video and sharing it. You can speed it up when one step is super easy and obvious you can accelerate through it. However I think your solution is not what should be presented on KZbin. It's much more obvious to take 25 as a common factor and then do the trick you did with much smaller numbers. In my opinion redo the video repost and compare the different feedback.
@superacademy2473 күн бұрын
Thanks for your kind and helpful advice
@peterotto7124 күн бұрын
Boring, too much ON the Long side
@vedantpawar63384 күн бұрын
Easy
@vedantpawar63384 күн бұрын
2√5+3
@SidneiMV4 күн бұрын
[log(3x + 9)]log(x + 3) = log(10/3) log(x + 3) = u (u + log3)u = 1 - log3 u² + (log3)u + (log3 - 1) = 0 u = [-log3 ± √(log²3 - 4log3 + 4)]/2 u = [-log3 ± (log3 - 2)]/2 u = -1 or u = 1 - log3 u = -1 log(x + 3) = -1 => *x = 1/10 - 3* u = 1 - log3 = log(10/3) log(x + 3) = log(10/3) => *x = 10/3 - 3*
@michaeledwards22514 күн бұрын
The problem has been made to be sight soluble. Relating to x ^ log 27 + 9^log x =36. 1. log is base 10. 2. 27 + 9 = 36. 3. If 9 = 9 ^ 1 = 9 ^ log x gives 1 = log x (base 10) gives x =10. 4. Substituting x = 10 into x ^ log 27 gives 10 ^ (log 27 (base 10)) = 27. Giving a. x = 10 gives 10 ^ log 27 + 9^log 10 =36 where 27 + 9 = 36. b. real values of x <> 10 give values < 36 for x < 10, and > 36 for x > 10. c. If the LHS was left unchanged, and required value of x was 100, the RHS required would be 27 ^ 2 + 9 ^ 2 = 729 + 81 = 810, or ( x ^ log 27 + 9^log x = 810 ).