What is the answer to (x+1)/x = 1/x+1 ?

The answer to (x+1)/x = 1/x+1 is x\ne 0

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(x+1)/x = 1/x+1

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

x \neq = 0

Solution steps

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

Multiply both sides by

x

x + 1 = 1 + x

Solve

x + 1 = 1 + x :

True for all

x

x \neq = 0

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x \neq = 0

\frac{x ^{2}}{x + 2} = x + 1

u, f = \frac{uv}{u + v}

\frac{1}{2 ( 10 d - 8 )} = 3 (12)

l (x) = \frac{2 x - 5}{5 + x}

\frac{0.4}{x - 1} = \frac{10}{4.5}