What is the answer to |x-1|= 2/x ?

The answer to |x-1|= 2/x is x=2

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|x-1|= 2/x

∣ x - 1 ∣ = \frac{2}{x}

x = 2

Solution steps

∣ x - 1 ∣ = \frac{2}{x}

Multiply both sides by

x

∣ x - 1 ∣ x = 2

Solve

∣ x - 1 ∣ x = 2 : x = 2

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2

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

\frac{x}{x + 2} + \frac{2}{x - 2} = - 2

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

- \frac{3}{x} = \frac{x}{5 x + 18}

\frac{16}{x + 3} + \frac{7}{x - 2} = 3