3/2x^2-5/4x=1/2

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Solution for 3/2x^2-5/4x=1/2 equation: 


x in (-oo:+oo)

(3/2)*x^2-((5/4)*x) = 1/2 // - 1/2

(3/2)*x^2-((5/4)*x)-(1/2) = 0

(3/2)*x^2+(-5/4)*x-1/2 = 0

3/2*x^2-5/4*x-1/2 = 0

DELTA = (-5/4)^2-(-1/2*3/2*4)

DELTA = 73/16

DELTA > 0

x = ((73/16)^(1/2)+5/4)/(3/2*2) or x = (5/4-(73/16)^(1/2))/(3/2*2)

x = ((73/16)^(1/2)+5/4)/3 or x = (5/4-(73/16)^(1/2))/3

x in { (5/4-(73/16)^(1/2))/3, ((73/16)^(1/2)+5/4)/3 }

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