1/x=4/x-9

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Solution for 1/x=4/x-9 equation: 


D( x )

x = 0

x = 0

x = 0

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

1/x = 4/x-9 // - 4/x-9

1/x-(4/x)+9 = 0

1/x-4*x^-1+9 = 0

-3*x^-1 = -9 // : -3

x^-1 = 3

-1 < 0

1/(x^1) = 3 // * x^1

1 = 3*x^1 // : 3

1/3 = x^1

x = 1/3

x = 1/3

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