1/2x^2-5/4x=-1/2

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Solution for 1/2x^2-5/4x=-1/2 equation: 


x in (-oo:+oo)

(1/2)*x^2-((5/4)*x) = -1/2 // + -1/2

(1/2)*x^2-((5/4)*x)-(-1/2) = 0

(1/2)*x^2+(-5/4)*x+1/2 = 0

1/2*x^2-5/4*x+1/2 = 0

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

DELTA = 9/16

DELTA > 0

x = ((9/16)^(1/2)+5/4)/(1/2*2) or x = (5/4-(9/16)^(1/2))/(1/2*2)

x = 2 or x = 1/2

x in { 1/2, 2 }

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