Russia | A Nice Algebra Problem | Math Olympiad

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Find the value of x?
How to solve ∛x + √x = 4/27

In this video, we'll show you How to Solve Math Olympiad Question A Nice Radical Equation ∛x + √x = 4/27 in a clear , fast and easy way. Whether you are a student learning basics or a professtional looking to improve your skills, this video is for you. By the end of this video, you'll have a solid understanding of how to solve math olympiad exponential equations and be able to apply these skills to a variety of problems.
#matholympiad #maths #math #algebra

[nasrullahhusnan]

(x^⅓)+(x^½)=4/27
Let t=x^⅙ --> t²+t³=4/27
=(3/27)+(1/27)
=(1/9)+(1/27)
=(⅓)²+(⅓)³ --> t=⅓
As t=x^⅙ --> x=t⁶
=(⅓)⁶
=(⅓

[محمدالنجار-وف]

The second value does not verify the equation.

[MananArhamOP]

Bro, listen to me. I am your big fan, but can u tell me why these equations are named after countries?

[mauriziograndi]

Alternatively:
4/27 = is given.
4/27^1/4^1/3^1/3^1/3
=
1/729 = 0.00137…
Answer