x^(5/4)-18x^(5/8)+81=0

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Solution for x^(5/4)-18x^(5/8)+81=0 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

x^(5/4)-(18*x^(5/8))+81 = 0

x^(5/4)-18*x^(5/8)+81 = 0

t_1 = x^(5/8)

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^(5/8)-9 = 0

1*x^(5/8) = 9 // : 1

x^(5/8) = 9

x^(5/8) = 9 // ^ 8

x^5 = 43046721 // ^ 1/5

x = 27*3^(1/5)

t_1 = 9

x^(5/8)-9 = 0

1*x^(5/8) = 9 // : 1

x^(5/8) = 9

x^(5/8) = 9 // ^ 8

x^5 = 43046721 // ^ 1/5

x = 27*3^(1/5)

x in { 27*3^(1/5), 27*3^(1/5) }

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