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

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

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4= 1/(a^2)

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

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

Decimal Notation

a = 0.5, a = - 0.5

Solution steps

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{768}{( 3 x - 8 ) ^{2}} + 4 = 0

- \frac{2}{11} = \frac{2}{5 x + 4}

- 1 (x) = \frac{x ^{2} - 6 x + 3}{x + 4}

\frac{20 t}{t ^{2} + 4} = 4

\frac{1}{x - 2} + 2 = \frac{11}{x - 2}