X^2=1/2X

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


X in (-oo:+oo)

X^2 = (1/2)*X // - (1/2)*X

X^2-((1/2)*X) = 0

X^2+(-1/2)*X = 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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