x^2/3-4x^1/3-12=0

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Solution for x^2/3-4x^1/3-12=0 equation: 


x in (-oo:+oo)

(x^2)/3-((4*x^1)/3)-12 = 0

(x^2)/3+(-4/3)*x-12 = 0

1/3*x^2-4/3*x-12 = 0

DELTA = (-4/3)^2-(-12*1/3*4)

DELTA = 160/9

DELTA > 0

x = ((160/9)^(1/2)+4/3)/(1/3*2) or x = (4/3-(160/9)^(1/2))/(1/3*2)

x = 3/2*((160/9)^(1/2)+4/3) or x = 3/2*(4/3-(160/9)^(1/2))

x in { 3/2*(4/3-(160/9)^(1/2)), 3/2*((160/9)^(1/2)+4/3) }

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