What is the answer to x^{-2}+5x^{-1}-6=0 ?

The answer to x^{-2}+5x^{-1}-6=0 is x=-1/6 ,x=1

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x^{-2}+5x^{-1}-6=0

x^{- 2} + 5 x^{- 1} - 6 = 0

x = - \frac{1}{6}, x = 1

Decimal Notation

x = - 0.16666 \dots, x = 1

Solution steps

x^{- 2} + 5 x^{- 1} - 6 = 0

Refine

\frac{1}{x ^{2}} + \frac{5}{x} - 6 = 0

Multiply by LCM

1 + 5 x - 6 x^{2} = 0

Solve

1 + 5 x - 6 x^{2} = 0 : x = - \frac{1}{6}, x = 1

x = - \frac{1}{6}, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{6}, x = 1

\frac{1}{x - 2} = - 4

\frac{10}{m} - \frac{10}{m + 5} = 1

\frac{3}{x + 2} - 2 = \frac{11}{x + 2}

30 + x = \frac{2}{x} + \frac{8}{x + 1}

\frac{9 - 5}{1 - x} = 2

What is the answer to x^{-2}+5x^{-1}-6=0 ?
The answer to x^{-2}+5x^{-1}-6=0 is x=-1/6 ,x=1
Solve for x: x^{-2}+5x^{-1}-6=0
The solution is x=-1/6 ,x=1