x-7x^(1/7)=0

Solution for x-7x^(1/7)=0 equation:

x in (-oo:+oo)

x-(7*x^(1/7)) = 0

x-7*x^(1/7) = 0

t_1 = x^(1/7)

1*t_1^7-7*t_1^1 = 0

t_1^7-7*t_1 = 0

t_1*(t_1^6-7) = 0

1*t_1^6 = 7 // : 1

t_1^6 = 7

t_1^6 = 7 // ^ 1/6

abs(t_1) = 7^(1/6)

t_1 = 7^(1/6) or t_1 = -7^(1/6)

t_1 = 0

t_1 = 0

t_1 = 7^(1/6)

x^(1/7)-7^(1/6) = 0

1*x^(1/7) = 7^(1/6) // : 1

x^(1/7) = 7^(1/6)

x^(1/7) = 7^(1/6) // ^ 7

x = 7^(7/6)

t_1 = -7^(1/6)

x^(1/7)+7^(1/6) = 0

1*x^(1/7) = -7^(1/6) // : 1

x^(1/7) = -7^(1/6)

( -7^(1/6) < 0 i 1/7 in (0:1) ) => x naleu017Cy do O

t_1 = 0

x^(1/7)+0 = 0

x^(1/7) = 0

1*x^(1/7) = 0 // : 1

x^(1/7) = 0

x = 0

x in { 7^(7/6), 0 }