(1/4)x^2+1/2=x-(1/2)

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Solution for (1/4)x^2+1/2=x-(1/2) equation:


x in (-oo:+oo)

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

(1/4)*x^2-x+1/2+1/2 = 0

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

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

DELTA = 0

x = 1/(1/4*2)

x = 2 or x = 2

x in { 2, 2 }

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