What is the answer to 2/3 x^{-2}-1=8 ?

The answer to 2/3 x^{-2}-1=8 is x=(sqrt(2))/(3sqrt(3)),x=-(sqrt(2))/(3sqrt(3))

Solve for x: 2/3 x^{-2}-1=8

The solution is x=(sqrt(2))/(3sqrt(3)),x=-(sqrt(2))/(3sqrt(3))

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\frac{2}{3} x^{- 2} - 1 = 8

x = \frac{2}{3 3}, x = - \frac{2}{3 3}

Decimal Notation

x = 0.27216 \dots, x = - 0.27216 \dots

Solution steps

\frac{2}{3} x^{- 2} - 1 = 8

Refine

\frac{2}{3 x ^{2}} - 1 = 8

Move

1

to the right side

\frac{2}{3 x ^{2}} = 9

Multiply both sides by

x^{2}

\frac{2}{3} = 9 x^{2}

Solve

\frac{2}{3} = 9 x^{2} : x = \frac{2}{3 3}, x = - \frac{2}{3 3}

x = \frac{2}{3 3}, x = - \frac{2}{3 3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{2}{3 3}, x = - \frac{2}{3 3}

y, x = \frac{y + 2}{y - 5}

\frac{x}{a - x} = b

\frac{m}{s} = - 4

2 = \frac{x + 3}{x - 2}

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

What is the answer to 2/3 x^{-2}-1=8 ?
The answer to 2/3 x^{-2}-1=8 is x=(sqrt(2))/(3sqrt(3)),x=-(sqrt(2))/(3sqrt(3))
Solve for x: 2/3 x^{-2}-1=8
The solution is x=(sqrt(2))/(3sqrt(3)),x=-(sqrt(2))/(3sqrt(3))