Harvard University Admission Interview Tricks | 99% Failed Admission Exam | Algebra Aptitude Test

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Math Olympiad

Math Olympiad

Күн бұрын

Пікірлер: 7
@jdiazupv
@jdiazupv Ай бұрын
Interesting. However, if 99% fail this question, I believe it's because it does not specify the field of numbers allowed. If the question does not specify a number field, most people will assume Real numbers, which isn’t incorrect. In that case, the solutions are +4 and -4. If the question specifies Complex numbers, then the four solutions are quite evident-it’s a trivial problem. The only tricky part is specifying the number field.
@matthieubrilman9407
@matthieubrilman9407 Ай бұрын
It's just a clickbait title. The équation in itself is quite trivial, and not worth a 10 minutes video.
@Aliens243
@Aliens243 Ай бұрын
It is a bad idea to put some link to other videos that completely hide your screen at the end, especially when you point to all the solutions at 9:32 but we cannot see them.
@xheppelin1827
@xheppelin1827 Ай бұрын
Smart way of solving it, i did not think of subsituting using the difference of squares. I solved it by substituting a+bi for m. So (a+bi)^4 = 4^4 + 0i Expanding and simplifying I found that since the complex part had to equal 0 that a = b and then that a = +-2 +-2i and +-2 -+2i. Putting that back into a+bi I got the correct answers of +-4 and +-4i. Muuuch more work, but still quite interesting.
@arnoldn2017
@arnoldn2017 Ай бұрын
Please , don’t make such a drama of it: x^4 = 64, the rest is obvious
@matthieubrilman9407
@matthieubrilman9407 Ай бұрын
I agree with you, except that it's x^4=256 ;)
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