Can You Pass Harvard's Entrance Exam?
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- Опубліковано 26 тра 2024
- Entrance examination. If you're reading this ❤️.
What do you think about this problem?
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@higher_mathematics
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For the guys who directly substituted x= -2🤙
Order of operations (exponents before multiplication) would mean that -2 squared = -4. If x = (-2) it would be correct otherwise it would be x ≈ 2.68
Seeing -2 only took about 2 seconds. For Harvard, you should need to find the complex solution, as well.
The correct answer is: My parent’s just donated $5M to the school.
Oh ! He didn't calculate the Complex root! That's not the Harvard Way! The roots are X=-2, X= (3 +sqrt (15) i) / 2, X=(3-sqrt(15) i) /2
Passes harvard math exam. Fails 1st grade writing
you should realize the answer x =-2 directly just by looking at it
So...for everyone thats not understinding the joke...yeah no me neither i quite literally have a grand total of ZERO idea what he's doing after the 4 step...but hey, neither do you...
I just do not know why is he doing that and not doing by Ruffini´s method which is x10 times easier and you get the result faster.
Gosh, what does higher mathematics mean in 2024..?
I solved it this way:
The choice of 8 and 4 looks like magic. Be more formal using Gauss theorem about integer roots and soon get -2, the rest is easy, e.g. use Ruffini and Bhaskara.
I look forward to checking out your channel. Subscribed. Thanks. Cheers
I found x = -2 pretty quickly, but as it's a cubic equation it must have three roots.
I worked out before I saw the youtube, on the right hand side of the screen, first of all X would have to be a negative number, so lets try X = -2, -2 squared is 4, -2 cubed is -8 take 4 - - 8 = 4+8 = 12, of course it is good to watch the youtube in case X is not so obvious.
Different approach: a bit trial and error gives x=-2 as a solution. So dividing the whole equation -x^3 + x^2 -12 = 0 by x + 2 gives -x^2 + 3x - 6 = 0. Which is quadratic, and thus solvable -> but has only imaginairy solutions. I think doing it this way is easier than the method used in the movie.
well done, cool proof -
certainly took the extra long way for something I did (in my head) in about 10 seconds !!
Trig in high school and secured transactions in law school had one thing in common: Over the ensuing decades, I perhaps used each discipline twice. Algebra and calculus were a little more practical and I have yet to need to know the maximum area of a circle that can be inscribed in a square with a radius of X. Then again no one has asked me about the gram molecular mass of a molecular substance either. I took a lot of math and science and am glad I did. Not sure why. . .
-2 seems obvious. Then divide x3+x2-12, by x+2… then show that quadratic has no real roots….then find the complex roots.