What is the answer to 5/x = x/(80) ?

The answer to 5/x = x/(80) is x=20,x=-20

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5/x = x/(80)

\frac{5}{x} = \frac{x}{80}

x = 20, x = - 20

Solution steps

\frac{5}{x} = \frac{x}{80}

Cross multiply

400 = x^{2}

Solve

400 = x^{2} : x = 20, x = - 20

x = 20, x = - 20

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 20, x = - 20

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

\frac{5 x + 6}{x - 2} = x - 3

x^{- 2} + 6 x^{- 1} - 16 = 0

r, F g = \frac{g m d}{r}

\frac{x}{4} = \frac{8}{2 x}