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

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

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x/5 = 5/x

\frac{x}{5} = \frac{5}{x}

x = 5, x = - 5

Solution steps

\frac{x}{5} = \frac{5}{x}

Cross multiply

x^{2} = 25

Solve

x^{2} = 25 : x = 5, x = - 5

x = 5, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 5, x = - 5

0.871 = \frac{x}{( 0.05 - x )}

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

1.22 = \frac{( 25 )}{t \cdot 0.42}

2 = \frac{4}{x}

y, x = \frac{y - 5}{y + 4}