What is the answer to x^{-2}+10x^{-1}+9=0 ?

The answer to x^{-2}+10x^{-1}+9=0 is x=-1/9 ,x=-1

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x^{-2}+10x^{-1}+9=0

x^{- 2} + 10 x^{- 1} + 9 = 0

x = - \frac{1}{9}, x = - 1

Decimal Notation

x = - 0.11111 \dots, x = - 1

Solution steps

x^{- 2} + 10 x^{- 1} + 9 = 0

Refine

\frac{1}{x ^{2}} + \frac{10}{x} + 9 = 0

Multiply by LCM

1 + 10 x + 9 x^{2} = 0

Solve

1 + 10 x + 9 x^{2} = 0 : x = - \frac{1}{9}, x = - 1

x = - \frac{1}{9}, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{9}, x = - 1

\frac{2}{x} + \frac{4}{3} - \frac{5}{2 x} = 1

0 = \frac{- 2 x - 2}{2 x - 12}

x, \frac{1}{a} = \frac{2}{x} + \frac{y}{2}

0.5 = \frac{20 x}{x ^{2} + 4}

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

What is the answer to x^{-2}+10x^{-1}+9=0 ?
The answer to x^{-2}+10x^{-1}+9=0 is x=-1/9 ,x=-1
Solve for x: x^{-2}+10x^{-1}+9=0
The solution is x=-1/9 ,x=-1