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

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

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4=a^{-2}

4 = a^{- 2}

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

Decimal Notation

a = 0.5, a = - 0.5

Solution steps

4 = a^{- 2}

Refine

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

Multiply both sides by

a^{2}

4 a^{2} = 1

Solve

4 a^{2} = 1 : 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}

\frac{1}{y + 2} + \frac{1}{y + 6} = 1

\frac{8}{x + 10} = \frac{4}{2 x - 7}

\frac{9}{x} = \frac{12}{4}

l, e = \frac{25 m}{l}

1 = \frac{2 ( t + 13 )}{10 + t}