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

The answer to 16= 1/(x^2) is x= 1/4 ,x=-1/4

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16= 1/(x^2)

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

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

Solution steps

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

Multiply both sides by

x^{2}

16 x^{2} = 1

Solve

16 x^{2} = 1 : 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}

\frac{x ^{2}}{x + 120} = 60

\frac{3}{x} = 45

r, F = \frac{G mm}{r ^{2}}

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

\frac{15}{y} = 3