Math Olympiad | A Nice Algebra Problem | A Nice Radical Equation

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Find the value of x?
How to solve √2-√2-x =x
In this video, we'll show you How to Solve Math Olympiad Question A Nice Radical Equation √2-√2-x =x 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 #mathtricks #maths

[@MathsOnlineVideos]

Nice problem.
I will give it to my learners.

[@SALogics]

All the best ❤

[@prasad4844]

As always it was a pleasure to watch.thank you 🙏

[@SALogics]

Glad you enjoyed it! ❤

[@raghvendrasingh1289]

(x^2-2)^2 = 2-x
subtracting x^2 both sides and factorising LHS
(x^2-2 +x) (x^2-2-x) = 2-x-x^2
transposing RHS term to LHS and taking common
(x^2+x-2) (x^2-x-1) = 0
(x+2) (x-1) ( x2-x-1) = 0
and so on

[@SALogics]

Very nice trick! ❤

[@souzasilva5471]

What would it look like if you exchanged 2 for 5?

[@SALogics]

It would be nice! ❤

[@prollysine]

by faktoring , (x-1)(x^3+x^2-3x-2)=0 , x=1 , x^3+x^2-3x-2=0 , (x+2)(x^2-x-1)=0 , x= -2 , x^2-x-1=0 , x=(1+/-V(1+4))/2 ,
x= (1+V5)/2 , (1-V5)/2 , x= 1 , -2 , (1+V5)/2 , (1-V5)/2 , test , -2 , (1+V5)/2 , (1-V5)/2 not a solu , solu , x= 1 ,

[@SALogics]

Very nice! ❤

[@borisjeud8464]

X=1

[@SALogics]

@@borisjeud8464 You guessed right! ❤