What is the answer to a^{-2}=4 ?

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

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a^{-2}=4

a^{- 2} = 4

a = \frac{1}{2}, a = - \frac{1}{2}

Solution steps

a^{- 2} = 4

Refine

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

Multiply both sides by

a^{2}

1 = 4 a^{2}

Solve

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

a = \frac{1}{2}, a = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = \frac{1}{2}, a = - \frac{1}{2}

m, \frac{r + s}{mn} = p

\frac{1}{2 ( 5 x - 2 )} = 2 x + 4

x, \frac{11}{4 x} + 9 = 3

- \frac{3}{2 x} + \frac{3}{10 x} = 12

\frac{x}{x} = \frac{x}{x}