What is the answer to x^{-2}+9x^{-1}-22=0 ?

The answer to x^{-2}+9x^{-1}-22=0 is x=-1/11 ,x= 1/2

Solve for x: x^{-2}+9x^{-1}-22=0

The solution is x=-1/11 ,x= 1/2

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x^{- 2} + 9 x^{- 1} - 22 = 0

x = - \frac{1}{11}, x = \frac{1}{2}

Decimal Notation

x = - 0.09090 \dots, x = 0.5

Solution steps

x^{- 2} + 9 x^{- 1} - 22 = 0

Refine

\frac{1}{x ^{2}} + \frac{9}{x} - 22 = 0

Multiply by LCM

1 + 9 x - 22 x^{2} = 0

Solve

1 + 9 x - 22 x^{2} = 0 : x = - \frac{1}{11}, x = \frac{1}{2}

x = - \frac{1}{11}, x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{11}, x = \frac{1}{2}

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

64 = \frac{96}{1 - x}

2 = \frac{x + 6}{x - 11}

\frac{81}{x} + 7 = 16

\frac{12}{x + 3} = 2

What is the answer to x^{-2}+9x^{-1}-22=0 ?
The answer to x^{-2}+9x^{-1}-22=0 is x=-1/11 ,x= 1/2
Solve for x: x^{-2}+9x^{-1}-22=0
The solution is x=-1/11 ,x= 1/2