5/x-1=10/x-9

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Solution for 5/x-1=10/x-9 equation: 


D( x )

x = 0

x = 0

x = 0

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

5/x-1 = 10/x-9 // - 10/x-9

5/x-(10/x)-1+9 = 0

5/x-10*x^-1-1+9 = 0

-5*x^-1 = -8 // : -5

x^-1 = 8/5

-1 < 0

1/(x^1) = 8/5 // * x^1

1 = 8/5*x^1 // : 8/5

5/8 = x^1

x = 5/8

x = 5/8

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