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

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


x in (-oo:+oo)

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

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

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

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

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

DELTA = 17/9

DELTA > 0

x = ((17/9)^(1/2)+1)/(2/3*2) or x = (1-(17/9)^(1/2))/(2/3*2)

x = 3/4*((17/9)^(1/2)+1) or x = 3/4*(1-(17/9)^(1/2))

x in { 3/4*(1-(17/9)^(1/2)), 3/4*((17/9)^(1/2)+1) }

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