What is the answer to x-2= 3/x ?

The answer to x-2= 3/x is x=3,x=-1

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x-2= 3/x

x - 2 = \frac{3}{x}

x = 3, x = - 1

Solution steps

x - 2 = \frac{3}{x}

Multiply both sides by

x

x^{2} - 2 x = 3

Solve

x^{2} - 2 x = 3 : x = 3, x = - 1

x = 3, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3, x = - 1

\frac{x}{x - 2} - \frac{5}{x + 1} = 1

3 = \frac{a - ( - 3 )}{5 - a}

\frac{1}{x ^{2}} = \frac{1}{4}

\frac{( 2 x + 20 )}{2 x} = 5 x - 4

\frac{2}{x + 2} + \frac{5}{3 x} = 4 x