What is the answer to 3x^{-2}-17x^{-1}-6=0 ?

The answer to 3x^{-2}-17x^{-1}-6=0 is x=-3,x= 1/6

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3x^{-2}-17x^{-1}-6=0

3 x^{- 2} - 17 x^{- 1} - 6 = 0

x = - 3, x = \frac{1}{6}

Decimal Notation

x = - 3, x = 0.16666 \dots

Solution steps

3 x^{- 2} - 17 x^{- 1} - 6 = 0

Refine

\frac{3}{x ^{2}} - \frac{17}{x} - 6 = 0

Multiply by LCM

3 - 17 x - 6 x^{2} = 0

Solve

3 - 17 x - 6 x^{2} = 0 : x = - 3, x = \frac{1}{6}

x = - 3, x = \frac{1}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 3, x = \frac{1}{6}

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

f, w = \frac{r}{f}

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

5 x^{- 2} - 29 x^{- 1} + 20 = 0

\frac{2 x - 3}{4 - 5 x} = - \frac{2}{3}

What is the answer to 3x^{-2}-17x^{-1}-6=0 ?
The answer to 3x^{-2}-17x^{-1}-6=0 is x=-3,x= 1/6
Solve for x: 3x^{-2}-17x^{-1}-6=0
The solution is x=-3,x= 1/6