What is the answer to 2x^{-2}-9x^{-1}-5=0 ?

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

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2x^{-2}-9x^{-1}-5=0

2 x^{- 2} - 9 x^{- 1} - 5 = 0

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

Decimal Notation

x = - 2, x = 0.2

Solution steps

2 x^{- 2} - 9 x^{- 1} - 5 = 0

Refine

\frac{2}{x ^{2}} - \frac{9}{x} - 5 = 0

Multiply by LCM

2 - 9 x - 5 x^{2} = 0

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{3}{x} - \frac{7}{6} = 1

\frac{- 16}{x ^{4}} + 15 + x^{4} = 0

2 x - \frac{8}{x} = 0

\frac{( x - 3 ) ( x + 4 )}{x - 3} = 0

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

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