What is the answer to 8x^{-2}-2x^{-1}-3=0 ?

The answer to 8x^{-2}-2x^{-1}-3=0 is x=-2,x= 4/3

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8x^{-2}-2x^{-1}-3=0

8 x^{- 2} - 2 x^{- 1} - 3 = 0

x = - 2, x = \frac{4}{3}

Decimal Notation

x = - 2, x = 1.33333 \dots

Solution steps

8 x^{- 2} - 2 x^{- 1} - 3 = 0

Refine

\frac{8}{x ^{2}} - \frac{2}{x} - 3 = 0

Multiply by LCM

8 - 2 x - 3 x^{2} = 0

Solve

8 - 2 x - 3 x^{2} = 0 : x = - 2, x = \frac{4}{3}

x = - 2, x = \frac{4}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 2, x = \frac{4}{3}

\frac{3}{x} + 1 = 2 x

\frac{2}{6} = \frac{9}{x}

\frac{30}{x} = - 2

a, r = \frac{m}{a ( b + c )}

\frac{10}{12} = \frac{2}{n}

What is the answer to 8x^{-2}-2x^{-1}-3=0 ?
The answer to 8x^{-2}-2x^{-1}-3=0 is x=-2,x= 4/3
Solve for x: 8x^{-2}-2x^{-1}-3=0
The solution is x=-2,x= 4/3