x^2=x/4

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Solution for x^2=x/4 equation:


x in (-oo:+oo)

x^2 = x/4 // - x/4

x^2-(x/4) = 0

x^2-1/4*x = 0

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

DELTA = 1/16

DELTA > 0

x = ((1/16)^(1/2)+1/4)/(1*2) or x = (1/4-(1/16)^(1/2))/(1*2)

x = 1/4 or x = 0

x in { 0, 1/4 }

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