What is the answer to (16)/x = x/4 ?

The answer to (16)/x = x/4 is x=8,x=-8

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(16)/x = x/4

\frac{16}{x} = \frac{x}{4}

x = 8, x = - 8

Solution steps

\frac{16}{x} = \frac{x}{4}

Cross multiply

64 = x^{2}

Solve

64 = x^{2} : x = 8, x = - 8

x = 8, x = - 8

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 8, x = - 8

\frac{5}{a} = 3

\frac{3}{5} = \frac{12}{x}

y, \frac{2 y}{y + a} = p

\frac{x ^{2}}{x ^{2} - 4} = 1

\frac{6}{8} = \frac{9}{x}