Math Olympiad Solution.

I will tutor you on how to solve this type of math Olympiad question with easy following some or few of mathematical rules/laws ranging from indices to algebraic factorization. I advise that you watch this video the first time and for the second time you go for the hidden tricks and practice how to solve it yourself.
Never skip any part of this video clip in order to get the full details.

#matholympiad #onlinemathstv #tutors

[vladyslavzhurakhinskyy]

Great explaining! Unfortunately you have written a "+" instead of the originally given "-". But except from that everything was right and well explained:)

[ikdigitalonlinehustle]

Excellent explaining man. You are simply amazing. I have become rusty with my Math after about 2 years break from active teaching.

[blue_white]

Very basic questions for our exams. Turkish exams for studiying university is very difficult. And there are about 30 000 different questions on only math course... this question is one of them...

[carlosrivas]

Curioso y divertido el problema... Genial.

[DrMikeE]

Before I watch this, a quick question:

Are you allowing nonreal (i.e., complex) values? I ask because there are NO real numbers x that satisify the first equation. Why? FACT: For any nonnegative quantity Q (think of x^2 here), Q + 1/Q >= 2! Since root(2) < 2, we have a contradiction. Therefore, whatever you find for the value of the second expression is meaningless!
(A bit later)... You had x^8 = -1... and again, no mention of the fact that x is complex (not real number).


(Full disclosure: I am a PhD mathematician and retired Penn State U. mathematics professor.)

[ebenezereric-gjzh]

Thanks for the math teaching.It was amazing 😊😊😊😊😊😊😊😊😊😊

[oprrpit]

Спасибо. Очень простое и оригинальное решение. Я не владею языком, но все понятно.

[hwszwjw]

!!! Love this channel so substantially

[phamthingocyen]

Bạn áp dụng các công thức toán học thật tuyệt vời. Nếu tôi biết bạn sớm hơn, tôi học toán sẽ giỏi hơn.👍👍

[HeliaAsadi-sc]

look iam irainian and at Iran usualy we have so meny tests like thie and for this test we have option like (this is imposible) or (x donot have any value) accquaintace with other countries test

[Maks.G]

First equation does not have valid answers, if we do not use complex numbers. So the whole problem doesn't make any sense.

[troppapolvere]

Brilliant! (last mistake of sign is unimportant of course). I am sure you know that x in first equation is =exp(+-i*pi/8) which makes solving the "2024" question very trivial, but I like also your smart trick. Congratulatins!

[professeurkeitagaye]

C'est bien mais il faut être précis dans l'énoncé du problème.
Dans la resolution, utiliser bien les connecteurs logiques .

[sunil.shegaonkar]

From 4:06, keeping squaring that gives X^8 + X^-8 = 2
Square again the last term: X^16 + X^-16 = 2

and again, it is 2 only.
It means it does not change it after power 8.
Because 2024 is divisible by 8, the final expression answer should be 2.

Can you spot any mistake above?

at 5::15, X^8 + 1 = 0, means x is imaginary number. Why is this answer in the real number??

[Senator-xh]

Yes. No solutions.
And finaly not plus, but mines.

[Woah]

It's 0 but i did it in a much harder tehnic tho

[ciylgmv]

хотя не знаю языка, все было понятно Спасибо

[govin]

But x^8 has no solution or either from equation x^4+1/x^4 has 4 solution

??

[qrdwhkx]

Сумма в равенстве слева ни при каких действительных икс не может быть меньше двух. А права стоит корень из двух, который меньше двух. И ЧТО? Мы имеем дело с комплексными числами?

[beverlyjin]

If X=0, Whole thing is meaning less, because 1/0.