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

The answer to 2=x^{-2} is x= 1/(sqrt(2)),x=-1/(sqrt(2))

Solve for x: 2=x^{-2}

The solution is x= 1/(sqrt(2)),x=-1/(sqrt(2))

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2 = x^{- 2}

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

Decimal Notation

x = 0.70710 \dots, x = - 0.70710 \dots

Solution steps

2 = x^{- 2}

Refine

2 = \frac{1}{x ^{2}}

Multiply both sides by

x^{2}

2 x^{2} = 1

Solve

2 x^{2} = 1 : 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{x}{7 x + 24} = \frac{- 2}{x}

- \frac{4}{9} = \frac{12}{r}

\frac{1}{12} = \frac{x}{13 x}

x + 3 + \frac{1}{x + 3} = 5

(x + 3)^{- 1} = x^{- 1} + x

What is the answer to 2=x^{-2} ?
The answer to 2=x^{-2} is x= 1/(sqrt(2)),x=-1/(sqrt(2))
Solve for x: 2=x^{-2}
The solution is x= 1/(sqrt(2)),x=-1/(sqrt(2))