Poland | A Nice Algebra Problem | Math Olympiad

math olympiad
olympiad math
math olympiad question
math olympiad questions
math olympiad problem
math olympiad problems
olympiad math problems
algebra olympiad problems
math
maths
algebra
algebra problem
nice algebra problem
a nice algebra problem
equation
exponential equation
a nice exponential equation
radical equation
a nice radical equation
math tricks
imo
Find the value of a?
How to solve a√-a = 4

In this video, we'll show you How to Solve Math Olympiad Question A Nice Radical Equation a√-a = 4 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]

Note that a<0. Let x=-a
(-a)^(1/a)=x^(-1/x)
=1/[x^(1/x)]
=(1/x)^(1/x)
Thus (1/x)^(1/x)=2²
1/x=2 --> x=½ and hence a=-½

[SGuerra]

Parabéns pela questão. É possível obter a solução sem fazer uso da função W. Brasil - Outubro de 2024.

[gilmartrevisan]

Ahhh, gosh
I solved it using product log
But your solution is better
a = -e^(-W(ln4))

[DJ.Nihad]

-1 ÷2 coulldn't degree of radical. İt is must be natural