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

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


x in (-oo:+oo)

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

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

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

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

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

DELTA = 59/48

DELTA > 0

x = ((59/48)^(1/2)+3/4)/(1/3*2) or x = (3/4-(59/48)^(1/2))/(1/3*2)

x = 3/2*((59/48)^(1/2)+3/4) or x = 3/2*(3/4-(59/48)^(1/2))

x in { 3/2*(3/4-(59/48)^(1/2)), 3/2*((59/48)^(1/2)+3/4) }

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