What is the answer to 16=x^{-2} ?

The answer to 16=x^{-2} is x= 1/4 ,x=-1/4

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16=x^{-2}

16 = x^{- 2}

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

Decimal Notation

x = 0.25, x = - 0.25

Solution steps

16 = x^{- 2}

Refine

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}

y, x = \frac{y}{3 + y}

\frac{1}{2 c + 25} = 49

2 = \frac{4}{3} - \frac{5}{b}

\frac{4}{x + 1} + \frac{2}{x - 2} = 3

\frac{2}{3} = 3 x - \frac{6}{- x + 3}