x^2=(5/6)x-(1/6)

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Solution for x^2=(5/6)x-(1/6) equation: 


x in (-oo:+oo)

x^2 = (5/6)*x-(1/6) // - (5/6)*x-(1/6)

x^2-((5/6)*x)+1/6 = 0

x^2+(-5/6)*x+1/6 = 0

x^2-5/6*x+1/6 = 0

DELTA = (-5/6)^2-(1/6*1*4)

DELTA = 1/36

DELTA > 0

x = ((1/36)^(1/2)+5/6)/(1*2) or x = (5/6-(1/36)^(1/2))/(1*2)

x = 1/2 or x = 1/3

x in { 1/3, 1/2 }

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