x^(5/8)-18x^(5/16)+81=0

Solution for x^(5/8)-18x^(5/16)+81=0 equation:

D( x )

x < 0

x < 0

x in <0:+oo)

x^(5/8)-(18*x^(5/16))+81 = 0

x^(5/8)-18*x^(5/16)+81 = 0

t_1 = x^(5/16)

1*t_1^2-18*t_1^1+81 = 0

t_1^2-18*t_1+81 = 0

DELTA = (-18)^2-(1*4*81)

DELTA = 0

t_1 = 18/(1*2)

t_1 = 9 or t_1 = 9

t_1 = 9

x^(5/16)-9 = 0

1*x^(5/16) = 9 // : 1

x^(5/16) = 9

x^(5/16) = 9 // ^ 16

x^5 = 1853020188851841 // ^ 1/5

x = 729*9^(1/5)

t_1 = 9

x^(5/16)-9 = 0

1*x^(5/16) = 9 // : 1

x^(5/16) = 9

x^(5/16) = 9 // ^ 16

x^5 = 1853020188851841 // ^ 1/5

x = 729*9^(1/5)

x in { 729*9^(1/5), 729*9^(1/5) }