1/4x^2-1/2x=6

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Solution for 1/4x^2-1/2x=6 equation: 


x in (-oo:+oo)

(1/4)*x^2-((1/2)*x) = 6 // - 6

(1/4)*x^2-((1/2)*x)-6 = 0

(1/4)*x^2+(-1/2)*x-6 = 0

1/4*x^2-1/2*x-6 = 0

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

DELTA = 25/4

DELTA > 0

x = ((25/4)^(1/2)+1/2)/(1/4*2) or x = (1/2-(25/4)^(1/2))/(1/4*2)

x = 6 or x = -4

x in { -4, 6 }

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