1/2x^2-7/6x=1

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Solution for 1/2x^2-7/6x=1 equation: 


x in (-oo:+oo)

(1/2)*x^2-((7/6)*x) = 1 // - 1

(1/2)*x^2-((7/6)*x)-1 = 0

(1/2)*x^2+(-7/6)*x-1 = 0

1/2*x^2-7/6*x-1 = 0

DELTA = (-7/6)^2-(-1*1/2*4)

DELTA = 121/36

DELTA > 0

x = ((121/36)^(1/2)+7/6)/(1/2*2) or x = (7/6-(121/36)^(1/2))/(1/2*2)

x = 3 or x = -2/3

x in { -2/3, 3 }

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