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

x = -1 or x = -3/2

x in { -3/2, -1 }

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