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

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


x in (-oo:+oo)

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

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

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

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

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

DELTA = 73/36

DELTA > 0

x = ((73/36)^(1/2)+1/6)/(1/2*2) or x = (1/6-(73/36)^(1/2))/(1/2*2)

x = (73/36)^(1/2)+1/6 or x = 1/6-(73/36)^(1/2)

x in { 1/6-(73/36)^(1/2), (73/36)^(1/2)+1/6 }

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