What is the answer to 5x= 5/x ?

The answer to 5x= 5/x is x=1,x=-1

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5x= 5/x

5 x = \frac{5}{x}

x = 1, x = - 1

Solution steps

5 x = \frac{5}{x}

Multiply both sides by

x

5 x^{2} = 5

Solve

5 x^{2} = 5 : x = 1, x = - 1

x = 1, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - 1

9 + \frac{x}{x + 8} = - \frac{8}{x + 8}

\frac{4}{x} = \frac{9}{5}

(A + 20) (\frac{120}{A} - 1) = 120

\frac{15}{x} = 5

x, \frac{k}{x} = v w