What is the answer to (36)/x = x/4 ?

The answer to (36)/x = x/4 is x=12,x=-12

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(36)/x = x/4

\frac{36}{x} = \frac{x}{4}

x = 12, x = - 12

Solution steps

\frac{36}{x} = \frac{x}{4}

Cross multiply

144 = x^{2}

Solve

144 = x^{2} : x = 12, x = - 12

x = 12, x = - 12

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 12, x = - 12

\frac{22 - 4}{5 x} = 2

\frac{39}{2 - 3 x ^{2}} = \frac{15}{2}

\frac{x + 9}{x + 6} = 0

\frac{( x ( x - 1 ) )}{( x ^{2} + x - 2 )} = \frac{x}{( x + 5 )}

a^{5} + \frac{1}{a ^{5}} = 123, a + \frac{1}{a}