What is the answer to 5x+2x^{-1}=-11 ?

The answer to 5x+2x^{-1}=-11 is x=-1/5 ,x=-2

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5x+2x^{-1}=-11

5 x + 2 x^{- 1} = - 11

x = - \frac{1}{5}, x = - 2

Solution steps

5 x + 2 x^{- 1} = - 11

Refine

5 x + \frac{2}{x} = - 11

Multiply both sides by

x

5 x^{2} + 2 = - 11 x

Solve

5 x^{2} + 2 = - 11 x : x = - \frac{1}{5}, x = - 2

x = - \frac{1}{5}, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{5}, x = - 2

\frac{4}{6 x + \frac{3 x}{2}} = 1

\frac{12}{x} = 3

\frac{7}{3 x + 10} = \frac{2}{x - 3}

x^{- 2} + 4 x^{- 1} + 3 = 0

\frac{2}{3} = \frac{8}{x}

What is the answer to 5x+2x^{-1}=-11 ?
The answer to 5x+2x^{-1}=-11 is x=-1/5 ,x=-2
Solve for x: 5x+2x^{-1}=-11
The solution is x=-1/5 ,x=-2