What is the answer to 2x^{-2}-11x^{-1}-6=0 ?

The answer to 2x^{-2}-11x^{-1}-6=0 is x=-2,x= 1/6

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2x^{-2}-11x^{-1}-6=0

2 x^{- 2} - 11 x^{- 1} - 6 = 0

x = - 2, x = \frac{1}{6}

Decimal Notation

x = - 2, x = 0.16666 \dots

Solution steps

2 x^{- 2} - 11 x^{- 1} - 6 = 0

Refine

\frac{2}{x ^{2}} - \frac{11}{x} - 6 = 0

Multiply by LCM

2 - 11 x - 6 x^{2} = 0

Solve

2 - 11 x - 6 x^{2} = 0 : x = - 2, x = \frac{1}{6}

x = - 2, x = \frac{1}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 2, x = \frac{1}{6}

2 x^{- 2} - 9 x^{- 1} - 5 = 0

\frac{3}{x} - \frac{7}{6} = 1

\frac{- 16}{x ^{4}} + 15 + x^{4} = 0

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

\frac{( x - 3 ) ( x + 4 )}{x - 3} = 0

What is the answer to 2x^{-2}-11x^{-1}-6=0 ?
The answer to 2x^{-2}-11x^{-1}-6=0 is x=-2,x= 1/6
Solve for x: 2x^{-2}-11x^{-1}-6=0
The solution is x=-2,x= 1/6