1/2x^2+x=12

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Solution for 1/2x^2+x=12 equation: 


x in (-oo:+oo)

(1/2)*x^2+x = 12 // - 12

(1/2)*x^2+x-12 = 0

1/2*x^2+x-12 = 0

DELTA = 1^2-(-12*1/2*4)

DELTA = 25

DELTA > 0

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

x = 4 or x = -6

x in { -6, 4 }

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