x^2=x/3

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Solution for x^2=x/3 equation: 


x in (-oo:+oo)

x^2 = x/3 // - x/3

x^2-(x/3) = 0

x^2-1/3*x = 0

DELTA = (-1/3)^2-(0*1*4)

DELTA = 1/9

DELTA > 0

x = ((1/9)^(1/2)+1/3)/(1*2) or x = (1/3-(1/9)^(1/2))/(1*2)

x = 1/3 or x = 0

x in { 0, 1/3 }

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