1/3x^2-1/2x=-1/6

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Solution for 1/3x^2-1/2x=-1/6 equation: 


x in (-oo:+oo)

(1/3)*x^2-((1/2)*x) = -1/6 // + -1/6

(1/3)*x^2-((1/2)*x)-(-1/6) = 0

(1/3)*x^2+(-1/2)*x+1/6 = 0

1/3*x^2-1/2*x+1/6 = 0

DELTA = (-1/2)^2-(1/6*1/3*4)

DELTA = 1/36

DELTA > 0

x = ((1/36)^(1/2)+1/2)/(1/3*2) or x = (1/2-(1/36)^(1/2))/(1/3*2)

x = 1 or x = 1/2

x in { 1/2, 1 }

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