(x^(5/4))-(6x^(5/8))+9=0

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Solution for (x^(5/4))-(6x^(5/8))+9=0 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

x^(5/4)-(6*x^(5/8))+9 = 0

x^(5/4)-6*x^(5/8)+9 = 0

t_1 = x^(5/8)

1*t_1^2-6*t_1^1+9 = 0

t_1^2-6*t_1+9 = 0

DELTA = (-6)^2-(1*4*9)

DELTA = 0

t_1 = 6/(1*2)

t_1 = 3 or t_1 = 3

t_1 = 3

x^(5/8)-3 = 0

1*x^(5/8) = 3 // : 1

x^(5/8) = 3

x^(5/8) = 3 // ^ 8

x^5 = 6561 // ^ 1/5

x = 3*27^(1/5)

t_1 = 3

x^(5/8)-3 = 0

1*x^(5/8) = 3 // : 1

x^(5/8) = 3

x^(5/8) = 3 // ^ 8

x^5 = 6561 // ^ 1/5

x = 3*27^(1/5)

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

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