10x^(1/3)-10x

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

x in (-oo:+oo)

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

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

t_1 = x^(1/3)

10*t_1^1-10*t_1^3 = 0

10*t_1-10*t_1^3 = 0

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

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

t_1^2 = 1

t_1^2 = 1 // ^ 1/2

abs(t_1) = 1

t_1 = 1 or t_1 = -1

10*t_1 = 0

10*t_1 = 0 // : 10

t_1 = 0

t_1 = 1

x^(1/3)-1 = 0

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

x^(1/3) = 1

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

x = 1

t_1 = -1

x^(1/3)+1 = 0

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

x^(1/3) = -1

( -1 < 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, 0 }