What is the answer to (-1/(2x))^2=16 ?

The answer to (-1/(2x))^2=16 is x= 1/8 ,x=-1/8

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(-1/(2x))^2=16

(- \frac{1}{2 x})^{2} = 16

x = \frac{1}{8}, x = - \frac{1}{8}

Decimal Notation

x = 0.125, x = - 0.125

Solution steps

(- \frac{1}{2 x})^{2} = 16

Simplify

(- \frac{1}{2 x})^{2} : \frac{1}{4 x ^{2}}

\frac{1}{4 x ^{2}} = 16

Multiply both sides by

x^{2}

\frac{1}{4} = 16 x^{2}

Solve

\frac{1}{4} = 16 x^{2} : x = \frac{1}{8}, x = - \frac{1}{8}

x = \frac{1}{8}, x = - \frac{1}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{8}, x = - \frac{1}{8}

x, z = \frac{m}{x y}

- \frac{2 x}{2 y} = - \frac{x}{y}

\frac{4 x ^{2} - 9}{x} = 5

\frac{1}{y} = - 3

\frac{7}{14} = \frac{58}{x}

What is the answer to (-1/(2x))^2=16 ?
The answer to (-1/(2x))^2=16 is x= 1/8 ,x=-1/8
Solve for x: (-1/(2x))^2=16
The solution is x= 1/8 ,x=-1/8