x^2-x=1/3

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Solution for x^2-x=1/3 equation: 


x in (-oo:+oo)

x^2-x = 1/3 // - 1/3

x^2-x-(1/3) = 0

x^2-x-1/3 = 0

x^2-x-1/3 = 0

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

DELTA = 7/3

DELTA > 0

x = ((7/3)^(1/2)+1)/(1*2) or x = (1-(7/3)^(1/2))/(1*2)

x = ((7/3)^(1/2)+1)/2 or x = (1-(7/3)^(1/2))/2

x in { (1-(7/3)^(1/2))/2, ((7/3)^(1/2)+1)/2 }

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