x^(13/12)=11x^(1/12)

Solution for x^(13/12)=11x^(1/12) equation:

D( x )

x < 0

x < 0

x in <0:+oo)

x^(13/12) = 11*x^(1/12) // - 11*x^(1/12)

x^(13/12)-(11*x^(1/12)) = 0

x^(13/12)-11*x^(1/12) = 0

t_1 = x^(1/12)

1*t_1^13-11*t_1^1 = 0

t_1^13-11*t_1 = 0

t_1*(t_1^12-11) = 0

1*t_1^12 = 11 // : 1

t_1^12 = 11

t_1^12 = 11 // ^ 1/12

abs(t_1) = 11^(1/12)

t_1 = 11^(1/12) or t_1 = -11^(1/12)

t_1 = 0

t_1 = 0

t_1 = 11^(1/12)

x^(1/12)-11^(1/12) = 0

1*x^(1/12) = 11^(1/12) // : 1

x^(1/12) = 11^(1/12)

x^(1/12) = 11^(1/12) // ^ 12

x = 11

t_1 = -11^(1/12)

x^(1/12)+11^(1/12) = 0

1*x^(1/12) = -11^(1/12) // : 1

x^(1/12) = -11^(1/12)

( -11^(1/12) < 0 i 1/12 in (0:1) ) => x należy do O

t_1 = 0

x^(1/12)+0 = 0

x^(1/12) = 0

1*x^(1/12) = 0 // : 1

x^(1/12) = 0

x = 0

x in { 11, 0 }