What is the answer to x^{-2}-4=0 ?

The answer to x^{-2}-4=0 is x= 1/2 ,x=-1/2

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x^{-2}-4=0

x^{- 2} - 4 = 0

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

Decimal Notation

x = 0.5, x = - 0.5

Solution steps

x^{- 2} - 4 = 0

Refine

\frac{1}{x ^{2}} - 4 = 0

Multiply both sides by

x^{2}

1 - 4 x^{2} = 0

Solve

1 - 4 x^{2} = 0 : x = \frac{1}{2}, x = - \frac{1}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{1}{2 \cdot x ( x + 7 )} = 165

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

a, \frac{1}{a} + \frac{1}{b} = \frac{3}{2020}

\frac{( 216 x ^{3} ) + 1}{( 27 x ^{3} )} = 135

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