1/2x^2+9x=192

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Solution for 1/2x^2+9x=192 equation: 


x in (-oo:+oo)

(1/2)*x^2+9*x = 192 // - 192

(1/2)*x^2+9*x-192 = 0

1/2*x^2+9*x-192 = 0

DELTA = 9^2-(-192*1/2*4)

DELTA = 465

DELTA > 0

x = (465^(1/2)-9)/(1/2*2) or x = (-465^(1/2)-9)/(1/2*2)

x = 465^(1/2)-9 or x = -(465^(1/2)+9)

x in { -(465^(1/2)+9), 465^(1/2)-9 }

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