Germany | Can you solve this ? | A Nice Math Olympiad Problem

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[@feelalive4374]

1 is the only correct answer.

[@BartBuzz]

The only answer that can be calculated is "1". The complex solutions are extraneous.

[@shmuelzehavi4940]

That's right. This video clip presented an operation consisting of a sum of 2 cubic roots of real numbers. The clip showed that the result must satisfy a cubic equation, but this does not imply that every one of the cubic roots is a result of the sum, which must be single valued (and real).

[@schlingel0017]

You cannot add two real numbers and get a complex number. Complex solutions are wrong and should be rejected. Shame.

[@bilalkaftar2358]

You are right. Real number + real number= real number.
And you cant say a+b has 3 different solutions.

[@samuelbenet007]

Entièrement d'accord avec toi !

[@АндрейПергаев-з4н]

Зачем загромождать решешия вводя a b, чтобы через действие от них избавиться.

[@is7728]

Actually there are more complex roots. At 4:20, you simply consider the cube root of -1 as -1 and not for the other two complex roots.

[@ManjulaMathew-wb3zn]

You are absolutely correct. If they want to consider complex solutions then complex values of ab shouldn’t be overlooked.
The other option is to consider all real values only.

[@ZoidVERSE]

wait what do you mean?

[@is7728]

​@@ZoidVERSE ab = 3√-1
(ab)^3 = -1
(ab)^3 + 1^3 = 0
(ab + 1) (a^2 * b^2 - ab + 1) = 0
So you get ab + 1 = 0 and (a^2 * b^2 - ab + 1) = 0
The answer from the linear root is -1 but there is still a quadratic root.
After factorizing, you will get 2 more roots, which are complex.

[@ZoidVERSE]

@@is7728 ahh I get it. thank you for explaining it

[@samuelbenet007]

Seule la solution réelle est exacte !

[@AnimatiOFF14014]

Very good, let's watch the video!

[@ivansudakov6877]

Из чего следует, что i - вещественное число. И даже более того, i - это сразу два разных вещественных числа. 🤓
Используя полученные результаты, также можно легко доказать, что i = 0 и что 0 = 1.

[@АндрейПергаев-з4н]

На 4:00 простое перемножение? Автор не знает что это а^2-b^2

[@JaimeCamargo-c5c]

1 es la soluciones que nos da la calculadora!

[@길위의인생-o7v]

cute root -1 is only -1 ?

[@nagarajahshiremagalore226]

Well solved.

[@krishnadeo7250]

Inspiring.

[@Honeyshaf]

Easy solved sir

[@learncommunolizer]

Thanks 🙏👍👍

[@ИгорьАнтипов-ю1з]

literally today I was interested in Cardano’s theorem for solving an equation of degree 3 and for myself I composed the equation x³+3x-4=0
The discriminant turned out to be
D= q²/4+p³/27=4+1=5
hence
x= (2+√5)^(1/3) +(2-√5)^(1/3)
I tried for a very long time to bring this to 1, but I couldn’t do it myself!
Thank you for the video.
(compiled with the help of a translator, I apologize for any inaccuracies)

[@prime423]

One root is one..Using synthetic division makes the solution obvious.In doing these problems, cogent observations save a lot oif work.

[@cachotrelles4715]

Excelente explicación en el idioma de las matemáticas. Muy buena la explicación del término + 3ab.x . Gracias

[@Honeyshaf]

Nice sir

[@learncommunolizer]

Thanks and welcome 🙏👍👍👍

[@daddykhalil909]

I am speechless
A very good sequence of logical reasoning
Thank you

[@ОльгаКузьмина-л3ж8ь]

Можно проще и быстрее, много лиших шагов в решении.

[@Honeyshaf]

❤❤❤

[@learncommunolizer]

Thanks ❤️❤️❤️

[@cachotrelles4715]

Totalmente excelente 👌👌👏👏👏