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

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


x in (-oo:+oo)

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

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

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

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

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

DELTA = 1/16

DELTA > 0

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

x = 3/2 or x = 1

x in { 1, 3/2 }

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