What is the answer to x^{-2}-8x^{-1}+15=0 ?

The answer to x^{-2}-8x^{-1}+15=0 is x= 1/3 ,x= 1/5

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x^{-2}-8x^{-1}+15=0

x^{- 2} - 8 x^{- 1} + 15 = 0

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

Decimal Notation

x = 0.33333 \dots, x = 0.2

Solution steps

x^{- 2} - 8 x^{- 1} + 15 = 0

Refine

\frac{1}{x ^{2}} - \frac{8}{x} + 15 = 0

Multiply by LCM

1 - 8 x + 15 x^{2} = 0

Solve

1 - 8 x + 15 x^{2} = 0 : x = \frac{1}{3}, x = \frac{1}{5}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{4}{5 x + 8} = - 24

\frac{5}{3 t} = 3 - (\frac{6}{15 t})

\frac{1}{x} + \frac{1}{3 x} = 12

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

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

What is the answer to x^{-2}-8x^{-1}+15=0 ?
The answer to x^{-2}-8x^{-1}+15=0 is x= 1/3 ,x= 1/5
Solve for x: x^{-2}-8x^{-1}+15=0
The solution is x= 1/3 ,x= 1/5