x^2=x^1/2

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Solution for x^2=x^1/2 equation: 


x in (-oo:+oo)

x^2 = (x^1)/2 // - (x^1)/2

x^2-((x^1)/2) = 0

x^2-(x/2) = 0

x^2-1/2*x = 0

DELTA = (-1/2)^2-(0*1*4)

DELTA = 1/4

DELTA > 0

x = ((1/4)^(1/2)+1/2)/(1*2) or x = (1/2-(1/4)^(1/2))/(1*2)

x = 1/2 or x = 0

x in { 0, 1/2 }

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