(5/x-1)*(9/x-9)

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Solution for (5/x-1)*(9/x-9) equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(5/x-1)*(9/x-9) = 0

(5*x^-1-1)*(9*x^-1-9) = 0

( 5*x^-1-1 )

5*x^-1 = 1 // : 5

x^-1 = 1/5

-1 < 0

1/(x^1) = 1/5 // * x^1

1 = 1/5*x^1 // : 1/5

5 = x^1

x = 5

( 9*x^-1-9 )

9*x^-1 = 9 // : 9

x^-1 = 1

-1 < 0

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

1 = 1*x^1 // : 1

1 = x^1

x = 1

x in { 5, 1 }

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