x^2/2-7x/4=-3/2

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Solution for x^2/2-7x/4=-3/2 equation: 


x in (-oo:+oo)

(x^2)/2-((7*x)/4) = -3/2 // + -3/2

(x^2)/2-((7*x)/4)-(-3/2) = 0

(x^2)/2+(-7/4)*x+3/2 = 0

1/2*x^2-7/4*x+3/2 = 0

DELTA = (-7/4)^2-(1/2*3/2*4)

DELTA = 1/16

DELTA > 0

x = ((1/16)^(1/2)+7/4)/(1/2*2) or x = (7/4-(1/16)^(1/2))/(1/2*2)

x = 2 or x = 3/2

x in { 3/2, 2 }

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