(x^2/2)+(x/4)=(3/4)

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Solution for (x^2/2)+(x/4)=(3/4) equation: 


x in (-oo:+oo)

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

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

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

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

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

DELTA = 25/16

DELTA > 0

x = ((25/16)^(1/2)-1/4)/(1/2*2) or x = (-(25/16)^(1/2)-1/4)/(1/2*2)

x = 1 or x = -3/2

x in { -3/2, 1 }

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