1/2x^2-5x+12.5=18

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Solution for 1/2x^2-5x+12.5=18 equation:


x in (-oo:+oo)

(1/2)*x^2-(5*x)+12.5 = 18 // - 18

(1/2)*x^2-(5*x)-18+12.5 = 0

(1/2)*x^2-5*x-18+12.5 = 0

1/2*x^2-5*x-5.5 = 0

DELTA = (-5)^2-(-5.5*1/2*4)

DELTA = 36

DELTA > 0

x = (36^(1/2)+5)/(1/2*2) or x = (5-36^(1/2))/(1/2*2)

x = 11 or x = -1

x in { -1, 11 }

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