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

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


x in (-oo:+oo)

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

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

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

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

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

DELTA = 29/9

DELTA > 0

x = ((29/9)^(1/2)+1)/(5/3*2) or x = (1-(29/9)^(1/2))/(5/3*2)

x = 3/10*((29/9)^(1/2)+1) or x = 3/10*(1-(29/9)^(1/2))

x in { 3/10*(1-(29/9)^(1/2)), 3/10*((29/9)^(1/2)+1) }

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