What is the answer to 1/a+1/b = 1/x ?

The answer to 1/a+1/b = 1/x is x=(ab)/(b+a);\quad ab\ne 0,a\ne-b

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1/a+1/b = 1/x

\frac{1}{a} + \frac{1}{b} = \frac{1}{x}

x = \frac{ab}{b + a}; ab \neq = 0, a \neq = - b

Solution steps

\frac{1}{a} + \frac{1}{b} = \frac{1}{x}

Multiply both sides by

x

\frac{x}{a} + \frac{x}{b} = 1

Multiply by LCM

b x + a x = ab; ab \neq = 0

Factor

b x + a x : x (b + a)

x (b + a) = ab; ab \neq = 0

Divide both sides by

b + a; ab \neq = 0, a \neq = - b

x = \frac{ab}{b + a}; ab \neq = 0, a \neq = - b

\frac{x - 4}{x + 3} = 5

\frac{x}{( x - 4 ) 2 - 3 ∣ x ^{4} ∣ - 4} = 0

(3 x - 1)^{- 1} = \frac{1}{( 3 x - 1 )}

\frac{500}{( 1 + r ) ^{10}} = 100

\frac{( x + 3 )}{( x + 4 )} = \frac{( x ^{2} - 1 )}{2}

What is the answer to 1/a+1/b = 1/x ?
The answer to 1/a+1/b = 1/x is x=(ab)/(b+a);\quad ab\ne 0,a\ne-b