x^2/3=8x^1/3

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Solution for x^2/3=8x^1/3 equation:


x in (-oo:+oo)

(x^2)/3 = (8*x^1)/3 // - (8*x^1)/3

(x^2)/3-((8*x^1)/3) = 0

(x^2)/3+(-8/3)*x = 0

1/3*x^2-8/3*x = 0

DELTA = (-8/3)^2-(0*1/3*4)

DELTA = 64/9

DELTA > 0

x = ((64/9)^(1/2)+8/3)/(1/3*2) or x = (8/3-(64/9)^(1/2))/(1/3*2)

x = 8 or x = 0

x in { 0, 8 }

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