A Nice Radical Equation | Easy Solution Method #maths

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Hello dear friends
Here we have a hard-looking radical question but our solution very easy to learn
Hope you enyoj trying to find the answer to this Math olympiad question
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Why did you switch sides? If you square in place, is much easier :
x+2=x+1+2sqrt(x)
1=2sqrt(x)
1/2=sqrt(x)
1/4=x

georgesbv