x2/3-3=2x1/3

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Solution for x2/3-3=2x1/3 equation: 


x in (-oo:+oo)

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

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

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

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

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

DELTA = 40/9

DELTA > 0

x = ((40/9)^(1/2)+2/3)/(1/3*2) or x = (2/3-(40/9)^(1/2))/(1/3*2)

x = 3/2*((40/9)^(1/2)+2/3) or x = 3/2*(2/3-(40/9)^(1/2))

x in { 3/2*(2/3-(40/9)^(1/2)), 3/2*((40/9)^(1/2)+2/3) }

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