2x^(-1/4)=9-(4x^(-1/4))

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Solution for 2x^(-1/4)=9-(4x^(-1/4)) equation: 


D( x )

x < 0

x = 0

x < 0

x = 0

x = 0

x in (0:+oo)

2*x^(-1/4) = 9-(4*x^(-1/4)) // - 9-(4*x^(-1/4))

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

6*x^(-1/4) = 9 // : 6

x^(-1/4) = 3/2

-1/4 < 0

1/(x^(1/4)) = 3/2 // * x^(1/4)

1 = 3/2*x^(1/4) // : 3/2

2/3 = x^(1/4)

x^(1/4) = 2/3 // ^ 4

x = 16/81

x = 16/81

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