3/4x2=5/4x+1/2

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Solution for 3/4x2=5/4x+1/2 equation:


x in (-oo:+oo)

(3/4)*x^2 = (5/4)*x+1/2 // - (5/4)*x+1/2

(3/4)*x^2-((5/4)*x)-(1/2) = 0

(3/4)*x^2+(-5/4)*x-1/2 = 0

3/4*x^2-5/4*x-1/2 = 0

DELTA = (-5/4)^2-(-1/2*3/4*4)

DELTA = 49/16

DELTA > 0

x = ((49/16)^(1/2)+5/4)/(3/4*2) or x = (5/4-(49/16)^(1/2))/(3/4*2)

x = 2 or x = -1/3

x in { -1/3, 2 }

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