x^(-5/4)=7/x^(9/4)

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Solution for x^(-5/4)=7/x^(9/4) equation: 


D( x )

x < 0

x = 0

x^(9/4) = 0

x < 0

x = 0

x = 0

x^(9/4) = 0

x^(9/4) = 0

1*x^(9/4) = 0 // : 1

x^(9/4) = 0

x = 0

x in (0:+oo)

x^(-5/4) = 7/(x^(9/4)) // - 7/(x^(9/4))

x^(-5/4)-(7/(x^(9/4))) = 0

x^(-5/4)-7*x^(-(9/4)) = 0

x^(-5/4)-7*x^(-9/4) = 0

x^(-5/4)*(1-7*x^-1) = 0

-7*x^-1 = -1 // : -7

x^-1 = 1/7

-1 < 0

1/(x^1) = 1/7 // * x^1

1 = 1/7*x^1 // : 1/7

7 = x^1

x = 7

1/(x^(5/4)) = 0

1*x^(-5/4) = 0 // : 1

x^(-5/4) = 0

x należy do O

x = 7

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