1/2x2=3/4x-1/4

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Solution for 1/2x2=3/4x-1/4 equation: 


x in (-oo:+oo)

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

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

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

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

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

DELTA = 1/16

DELTA > 0

x = ((1/16)^(1/2)+3/4)/(1/2*2) or x = (3/4-(1/16)^(1/2))/(1/2*2)

x = 1 or x = 1/2

x in { 1/2, 1 }

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