A Nice Square Root Algebra Equation | Math Olympiad

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Well done

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X=1

[@cosmolbfu67]

u=2+√3 , 1/u = 2-√3
(u^x)^2 -4(u^x) +1=0
u^x = 2+√3 , 2-√3 = u,1/u
u^x= u^1, u^-1
x= +-1 ***