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

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

Solve for x: 1/(x^2)=2

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

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

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

Decimal Notation

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

Solution steps

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

Multiply both sides by

x^{2}

1 = 2 x^{2}

Solve

1 = 2 x^{2} : 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}{x ^{2}} = 4

\frac{1}{x ^{2}} = 8

\frac{1}{x ^{2}} = 9

4 x^{- 4} - 7 x^{- 2} - 36 = 0

\frac{2}{x + 2} + 2 = \frac{12}{x + 2}

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