What is the answer to 15x^{-2}-2x^{-1}-1=0 ?

The answer to 15x^{-2}-2x^{-1}-1=0 is x=-5,x=3

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15x^{-2}-2x^{-1}-1=0

15 x^{- 2} - 2 x^{- 1} - 1 = 0

x = - 5, x = 3

Solution steps

15 x^{- 2} - 2 x^{- 1} - 1 = 0

Refine

\frac{15}{x ^{2}} - \frac{2}{x} - 1 = 0

Multiply by LCM

15 - 2 x - x^{2} = 0

Solve

15 - 2 x - x^{2} = 0 : x = - 5, x = 3

x = - 5, x = 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 5, x = 3

\frac{32}{x} = - 8

f, f^{- 1} (x) = x^{3}

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

\frac{1}{x} = 6

a, y = x (\frac{ab}{a - b})

What is the answer to 15x^{-2}-2x^{-1}-1=0 ?
The answer to 15x^{-2}-2x^{-1}-1=0 is x=-5,x=3
Solve for x: 15x^{-2}-2x^{-1}-1=0
The solution is x=-5,x=3