1/x+1/a=1/b

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Solution for 1/x+1/a=1/b equation: 


D( x )

x = 0

x = 0

x = 0

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

1/a+1/x = 1/b // - 1/b

1/a-(1/b)+1/x = 0

1/a-b^-1+1/x = 0

1*x^-1 = -(a^-1-b^-1) // : 1

x^-1 = b^-1-a^-1

-1 < 0

1/(x^1) = b^-1-a^-1 // * x^1

1 = x^1*(b^-1-a^-1) // : b^-1-a^-1

1/(b^-1-a^-1) = x^1

x = 1/(b^-1-a^-1)

x = 1/(b^-1-a^-1)

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