x^2/3-x=5/6

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Solution for x^2/3-x=5/6 equation: 


x in (-oo:+oo)

(x^2)/3-x = 5/6 // - 5/6

(x^2)/3-x-(5/6) = 0

(x^2)/3-x-5/6 = 0

1/3*x^2-x-5/6 = 0

DELTA = (-1)^2-(-5/6*1/3*4)

DELTA = 19/9

DELTA > 0

x = ((19/9)^(1/2)+1)/(1/3*2) or x = (1-(19/9)^(1/2))/(1/3*2)

x = 3/2*((19/9)^(1/2)+1) or x = 3/2*(1-(19/9)^(1/2))

x in { 3/2*(1-(19/9)^(1/2)), 3/2*((19/9)^(1/2)+1) }

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