1/2x^2+3x=8

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Solution for 1/2x^2+3x=8 equation: 


x in (-oo:+oo)

(1/2)*x^2+3*x = 8 // - 8

(1/2)*x^2+3*x-8 = 0

1/2*x^2+3*x-8 = 0

DELTA = 3^2-(-8*1/2*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)-3)/(1/2*2) or x = (-25^(1/2)-3)/(1/2*2)

x = 2 or x = -8

x in { -8, 2 }

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