What is the answer to (25)/x = x/4 ?

The answer to (25)/x = x/4 is x=10,x=-10

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(25)/x = x/4

\frac{25}{x} = \frac{x}{4}

x = 10, x = - 10

Solution steps

\frac{25}{x} = \frac{x}{4}

Cross multiply

100 = x^{2}

Solve

100 = x^{2} : x = 10, x = - 10

x = 10, x = - 10

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 10, x = - 10

\frac{7}{3 x + 4} = \frac{7}{6 x - 2}

\frac{3}{x} = 15

\frac{1}{2} = \frac{3}{x}

\frac{2}{x} = 8

\frac{r + 4.6}{r - 2.3} = 3.3