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 = 17/36

DELTA > 0

x = ((17/36)^(1/2)+1/2)/(1/3*2) or x = (1/2-(17/36)^(1/2))/(1/3*2)

x = 3/2*((17/36)^(1/2)+1/2) or x = 3/2*(1/2-(17/36)^(1/2))

x in { 3/2*(1/2-(17/36)^(1/2)), 3/2*((17/36)^(1/2)+1/2) }

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