What is the answer to x^{-2}-9x^{-1}+20=0 ?

The answer to x^{-2}-9x^{-1}+20=0 is x= 1/4 ,x= 1/5

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x^{-2}-9x^{-1}+20=0

x^{- 2} - 9 x^{- 1} + 20 = 0

x = \frac{1}{4}, x = \frac{1}{5}

Decimal Notation

x = 0.25, x = 0.2

Solution steps

x^{- 2} - 9 x^{- 1} + 20 = 0

Refine

\frac{1}{x ^{2}} - \frac{9}{x} + 20 = 0

Multiply by LCM

1 - 9 x + 20 x^{2} = 0

Solve

1 - 9 x + 20 x^{2} = 0 : x = \frac{1}{4}, x = \frac{1}{5}

x = \frac{1}{4}, x = \frac{1}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{4}, x = \frac{1}{5}

\frac{( 4.3 x + 89.904 )}{50 + x} = 3

\frac{x - 5}{x - 1} = \frac{- 3}{x}

\frac{3}{x ^{2}} = 0

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

\frac{a}{a - 3} - \frac{a}{a - 2} = 5

What is the answer to x^{-2}-9x^{-1}+20=0 ?
The answer to x^{-2}-9x^{-1}+20=0 is x= 1/4 ,x= 1/5
Solve for x: x^{-2}-9x^{-1}+20=0
The solution is x= 1/4 ,x= 1/5