3/4x^2-5/8x=1/4

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Solution for 3/4x^2-5/8x=1/4 equation:


x in (-oo:+oo)

(3/4)*x^2-((5/8)*x) = 1/4 // - 1/4

(3/4)*x^2-((5/8)*x)-(1/4) = 0

(3/4)*x^2+(-5/8)*x-1/4 = 0

3/4*x^2-5/8*x-1/4 = 0

DELTA = (-5/8)^2-(-1/4*3/4*4)

DELTA = 73/64

DELTA > 0

x = ((73/64)^(1/2)+5/8)/(3/4*2) or x = (5/8-(73/64)^(1/2))/(3/4*2)

x = 2/3*((73/64)^(1/2)+5/8) or x = 2/3*(5/8-(73/64)^(1/2))

x in { 2/3*(5/8-(73/64)^(1/2)), 2/3*((73/64)^(1/2)+5/8) }

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