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

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

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

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

x = - 3, x = \frac{1}{3}

Decimal Notation

x = - 3, x = 0.33333 \dots

Solution steps

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

Refine

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

Multiply by LCM

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

Solve

3 - 8 x - 3 x^{2} = 0 : x = - 3, x = \frac{1}{3}

x = - 3, x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 3, x = \frac{1}{3}

\frac{6}{5} = \frac{10}{k - 1}

\frac{1}{( x - 2 )} + \frac{x}{3} = 2

\frac{6}{x + 1} = \frac{5}{40}

\frac{- 8}{r + 6} = 4

\frac{2}{6} = \frac{10}{x}

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