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

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


x in (-oo:+oo)

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

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

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

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

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

DELTA = 25/16

DELTA > 0

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

x = 3 or x = -2

x in { -2, 3 }

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