United States | A Nice Algebra Problem | Math Olympiad

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Find the value of x?
How to solve 1 / 2-x =√x

In this video, we'll show you How to Solve Math Olympiad Question A Nice Algebra Problem √1 / 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 #maths #math #algebra

[FleuveAlphee]

Why not immediately state the condition X<2 ? "Avoiding" it makes the subsequent work more tedious than it should be.

[haticekoca]

1/2-x=x 1/2-x=x/1 2-x=1 -x=2-1
x=1, 1/2-x=x/1 x^2-1 x^2^2-1
3-rt5/2

[에스피-zg]

1/(2-x)=rtx
0<x<2
2rtx-xrtx=1
rtx=y
y^3-2y+1=0
(y-1)(y^2+y-1)=0
y>0
y=1 or y=(-1+rt5)/2
x=1 or x=(6-2rt5)/4
=(3-rt5)/2