What is the answer to 1/(x^2)= 1/4 ?

The answer to 1/(x^2)= 1/4 is x=2,x=-2

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1/(x^2)= 1/4

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

x = 2, x = - 2

Solution steps

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

Cross multiply

4 = x^{2}

Solve

4 = x^{2} : x = 2, x = - 2

x = 2, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 2

\frac{( 2 x + 20 )}{2 x} = 5 x - 4

\frac{2}{x + 2} + \frac{5}{3 x} = 4 x

\frac{2}{x} = \frac{x}{8}

x + \frac{2}{x} - 3 = 0

a, \frac{m}{a} = n + p