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

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


x in (-oo:+oo)

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

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

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

t_1 = x^(1/3)

1*t_1^2+3*t_1^1 = 0

t_1^2+3*t_1 = 0

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

DELTA = 9

DELTA > 0

t_1 = (9^(1/2)-3)/(1*2) or t_1 = (-9^(1/2)-3)/(1*2)

t_1 = 0 or t_1 = -3

t_1 = -3

x^(1/3)+3 = 0

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

x^(1/3) = -3

( -3 < 0 i 1/3 in (0:1) ) => x naleu017Cy do O

t_1 = 0

x^(1/3)+0 = 0

x^(1/3) = 0

1*x^(1/3) = 0 // : 1

x^(1/3) = 0

x = 0

x = 0

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