x^(2/3)=10x^(1/3)

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Solution for x^(2/3)=10x^(1/3) equation: 


x in (-oo:+oo)

x^(2/3) = 10*x^(1/3) // - 10*x^(1/3)

x^(2/3)-(10*x^(1/3)) = 0

x^(2/3)-10*x^(1/3) = 0

t_1 = x^(1/3)

1*t_1^2-10*t_1^1 = 0

t_1^2-10*t_1 = 0

DELTA = (-10)^2-(0*1*4)

DELTA = 100

DELTA > 0

t_1 = (100^(1/2)+10)/(1*2) or t_1 = (10-100^(1/2))/(1*2)

t_1 = 10 or t_1 = 0

t_1 = 0

x^(1/3)+0 = 0

x^(1/3) = 0

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

x^(1/3) = 0

x = 0

t_1 = 10

x^(1/3)-10 = 0

1*x^(1/3) = 10 // : 1

x^(1/3) = 10

x^(1/3) = 10 // ^ 3

x = 1000

x in { 0, 1000 }

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