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

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


x in (-oo:+oo)

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

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

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

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

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

DELTA = 25/36

DELTA > 0

x = ((25/36)^(1/2)+1/6)/(1/2*2) or x = (1/6-(25/36)^(1/2))/(1/2*2)

x = 1 or x = -2/3

x in { -2/3, 1 }

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