x^(3/4)-9x^(1/4)=0

Solution for x^(3/4)-9x^(1/4)=0 equation:

D( x )

x < 0

x < 0

x in <0:+oo)

x^(3/4)-(9*x^(1/4)) = 0

x^(3/4)-9*x^(1/4) = 0

t_1 = x^(1/4)

1*t_1^3-9*t_1^1 = 0

t_1^3-9*t_1 = 0

t_1*(t_1^2-9) = 0

1*t_1^2 = 9 // : 1

t_1^2 = 9

t_1^2 = 9 // ^ 1/2

abs(t_1) = 3

t_1 = 3 or t_1 = -3

t_1 = 0

t_1 = 0

t_1 = 3

x^(1/4)-3 = 0

1*x^(1/4) = 3 // : 1

x^(1/4) = 3

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

x = 81

t_1 = -3

x^(1/4)+3 = 0

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

x^(1/4) = -3

( -3 < 0 i 1/4 in (0:1) ) => x należy do O

t_1 = 0

x^(1/4)+0 = 0

x^(1/4) = 0

1*x^(1/4) = 0 // : 1

x^(1/4) = 0

x = 0

x in { 81, 0 }