x^(1/3)-4x=0

Solution for x^(1/3)-4x=0 equation:

x in (-oo:+oo)

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

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

t_1 = x^(1/3)

1*t_1^1-4*t_1^3 = 0

t_1-4*t_1^3 = 0

t_1*(1-4*t_1^2) = 0

-4*t_1^2 = -1 // : -4

t_1^2 = 1/4

t_1^2 = 1/4 // ^ 1/2

abs(t_1) = 1/2

t_1 = 1/2 or t_1 = -1/2

t_1 = 0

t_1 = 0

t_1 = 1/2

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

1*x^(1/3) = 1/2 // : 1

x^(1/3) = 1/2

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

x = 1/8

t_1 = -1/2

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

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

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

( -1/2 < 0 i 1/3 in (0:1) ) => x należy 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 in { 1/8, 0 }