(x^(-14/3))-(x^(-9/2))

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Solution for (x^(-14/3))-(x^(-9/2)) equation: 


D( x )

x < 0

x = 0

x < 0

x = 0

x = 0

x in (0:+oo)

x^(-14/3)-x^(-9/2) = 0

x^(-14/3)-x^(-9/2) = 0

x^(-9/2)*(x^(-1/6)-1) = 0

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

x^(-1/6) = 1

-1/6 < 0

1/(x^(1/6)) = 1 // * x^(1/6)

1 = 1*x^(1/6) // : 1

1 = x^(1/6)

x^(1/6) = 1 // ^ 6

x = 1

1/(x^(9/2)) = 0

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

x^(-9/2) = 0

x należy do O

x = 1

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