What is the answer to x/(10)=(2.5)/x ?

The answer to x/(10)=(2.5)/x is x=5,x=-5

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x/(10)=(2.5)/x

\frac{x}{10} = \frac{2.5}{x}

x = 5, x = - 5

Solution steps

\frac{x}{10} = \frac{2.5}{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

\frac{20}{3 m} = 2 - \frac{4}{3 m}

\frac{- 16}{k} = - 11

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

\frac{4}{( x + 1 )} = \frac{x}{5}

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