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

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


x in (-oo:+oo)

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

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

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

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

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

DELTA = 64/15

DELTA > 0

x = ((64/15)^(1/2)+2)/(1/3*2) or x = (2-(64/15)^(1/2))/(1/3*2)

x = 3/2*((64/15)^(1/2)+2) or x = 3/2*(2-(64/15)^(1/2))

x in { 3/2*(2-(64/15)^(1/2)), 3/2*((64/15)^(1/2)+2) }

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