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

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Solution for x^2/3-x^1/3-6=0 equation:


x in (-oo:+oo)

(x^2)/3-((x^1)/3)-6 = 0

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

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

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

DELTA = 73/9

DELTA > 0

x = ((73/9)^(1/2)+1/3)/(1/3*2) or x = (1/3-(73/9)^(1/2))/(1/3*2)

x = 3/2*((73/9)^(1/2)+1/3) or x = 3/2*(1/3-(73/9)^(1/2))

x in { 3/2*(1/3-(73/9)^(1/2)), 3/2*((73/9)^(1/2)+1/3) }

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