What is the answer to (14)/x =x-5 ?

The answer to (14)/x =x-5 is x=7,x=-2

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(14)/x =x-5

\frac{14}{x} = x - 5

x = 7, x = - 2

Solution steps

\frac{14}{x} = x - 5

Multiply both sides by

x

14 = x^{2} - 5 x

Solve

14 = x^{2} - 5 x : x = 7, x = - 2

x = 7, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 7, x = - 2

\frac{1}{2 b} + \frac{1}{b} = 2

\frac{8 ^{- 1}}{4 ^{- 1}} - a^{- 1} = 1

\frac{( 2 x - 3 ) ( x + 5 )}{x - 7} = 0

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

4 + \frac{6}{x} = \frac{5}{2}