1/x=1/y+1/z

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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