1/z=1/x-1/y

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Solution for 1/z=1/x-1/y equation: 


D( x )

x = 0

x = 0

x = 0

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

1/z = 1/x-(1/y) // - 1/x-(1/y)

1/y-(1/x)+1/z = 0

1/y-x^-1+1/z = 0

-1*x^-1 = -(y^-1+z^-1) // : -1

x^-1 = y^-1+z^-1

-1 < 0

1/(x^1) = y^-1+z^-1 // * x^1

1 = x^1*(y^-1+z^-1) // : y^-1+z^-1

1/(y^-1+z^-1) = x^1

x = 1/(y^-1+z^-1)

x = 1/(y^-1+z^-1)

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