1/(x^(9/20))=1/512

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Solution for 1/(x^(9/20))=1/512 equation: 


D( x )

x < 0

x^(9/20) = 0

x < 0

x^(9/20) = 0

x^(9/20) = 0

1*x^(9/20) = 0 // : 1

x^(9/20) = 0

x = 0

x in (0:+oo)

1/(x^(9/20)) = 1/512 // - 1/512

1/(x^(9/20))-(1/512) = 0

1/(x^(9/20))-1/512 = 0

1*x^(-9/20) = 1/512 // : 1

x^(-9/20) = 1/512

-9/20 < 0

1/(x^(9/20)) = 1/512 // * x^(9/20)

1 = 1/512*x^(9/20) // : 1/512

512 = x^(9/20)

x^(9/20) = 512 // ^ 20

x^9 = 1532495540865888858358347027150309183618739122183602176 // ^ 1/9

x = 1048576

x = 1048576

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