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

The answer to 2= 1/(x-2) is x= 5/2

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2= 1/(x-2)

2 = \frac{1}{x - 2}

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

2 = \frac{1}{x - 2}

Multiply both sides by

x - 2

2 (x - 2) = 1

Divide both sides by

2

x - 2 = \frac{1}{2}

Move

2

to the right side

x = \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{5}{2}

\frac{2}{5 x} = 10

k, 7 - 3 m = \frac{2}{k}

0.083 = \frac{x ^{2}}{0.8 - 2 x}

x^{2} + (\frac{x}{x + 1})^{2} = 15

2 k = \frac{12}{k} - 5