6x^2-7/4x=x-1/4

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Solution for 6x^2-7/4x=x-1/4 equation:


x in (-oo:+oo)

6*x^2-((7/4)*x) = x-(1/4) // - x-(1/4)

6*x^2-((7/4)*x)-x+1/4 = 0

6*x^2+(-7/4)*x-x+1/4 = 0

6*x^2-11/4*x+1/4 = 0

DELTA = (-11/4)^2-(1/4*4*6)

DELTA = 25/16

DELTA > 0

x = ((25/16)^(1/2)+11/4)/(2*6) or x = (11/4-(25/16)^(1/2))/(2*6)

x = 1/3 or x = 1/8

x in { 1/8, 1/3 }

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