What is the answer to (15)/x =x-2 ?

The answer to (15)/x =x-2 is x=5,x=-3

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(15)/x =x-2

\frac{15}{x} = x - 2

x = 5, x = - 3

Solution steps

\frac{15}{x} = x - 2

Multiply both sides by

x

15 = x^{2} - 2 x

Solve

15 = x^{2} - 2 x : x = 5, x = - 3

x = 5, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 5, x = - 3

\frac{1}{x + 3} + 2 = \frac{9}{x + 3}

\frac{2 x - 4}{x} = \frac{x - 2}{2}

x^{2} - 2 x - 3 = \frac{x + 4}{x - 1} - 5

4 = \frac{8}{x}

1 + \frac{1}{x + 1} = 0