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

The answer to 1= 1/(x-2) is x=3

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1= 1/(x-2)

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

x = 3

Solution steps

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

Multiply both sides by

x - 2

x - 2 = 1

Move

2

to the right side

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 3

x, f = - \frac{k}{x ^{2}}

0.2 = \frac{x ^{2}}{45 - x}

\frac{3}{x} = \frac{9}{4 x} + 3

\frac{4}{x} = \frac{7}{4 x} + 3

\frac{4}{8 - x} = \frac{3}{4}