x^(1/3)-0.25x=0

Solution for x^(1/3)-0.25x=0 equation:

x in (-oo:+oo)

x^(1/3)-(0.25*x) = 0

x^(1/3)-0.25*x = 0

t_1 = x^(1/3)

1*t_1^1-0.25*t_1^3 = 0

t_1-0.25*t_1^3 = 0

t_1*(1-0.25*t_1^2) = 0

-0.25*t_1^2 = -1 // : -0.25

t_1^2 = 4

t_1^2 = 4 // ^ 1/2

abs(t_1) = 2

t_1 = 2 or t_1 = -2

t_1 = 0

t_1 = 0

t_1 = 2

x^(1/3)-2 = 0

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

x^(1/3) = 2

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

x = 8

t_1 = -2

x^(1/3)+2 = 0

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

x^(1/3) = -2

( -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 { 8, 0 }