What is the answer to 1/x =16x ?

The answer to 1/x =16x is x= 1/4 ,x=-1/4

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1/x =16x

\frac{1}{x} = 16 x

x = \frac{1}{4}, x = - \frac{1}{4}

Decimal Notation

x = 0.25, x = - 0.25

Solution steps

\frac{1}{x} = 16 x

Multiply both sides by

x

1 = 16 x^{2}

Solve

1 = 16 x^{2} : x = \frac{1}{4}, x = - \frac{1}{4}

x = \frac{1}{4}, x = - \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{4}, x = - \frac{1}{4}

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

\frac{t}{∣ t ∣} = 0

\frac{0.75}{2} = \frac{60}{x}

\frac{( 1 + x )}{( 1 - x )} = 1.9

\frac{16}{y} = \frac{1}{4}