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

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

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

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

x = - \frac{1}{10}, x = 1

Decimal Notation

x = - 0.1, x = 1

Solution steps

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

Refine

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

Multiply by LCM

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

Solve

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

x = - \frac{1}{10}, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{10}, x = 1

x, y = \frac{x - 1}{x + 3}

\frac{g}{f} + Q = 2, f

\frac{3}{x - 4} = 7

\frac{25}{70} = \frac{75}{n}

a, b = \frac{h}{2 a}

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