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

The answer to x^{-2}+5x^{-1}+6=0 is x=-1/3 ,x=-1/2

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

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

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

Decimal Notation

x = - 0.33333 \dots, x = - 0.5

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

- 4 x + 24 = \frac{8 - 2}{5 ( 10 x - 60 )}

f, \frac{g}{f} + q = 2

x, 7 = \frac{2 y}{14 x}

10 = \frac{3}{x}

x + \frac{1}{6} = \frac{1}{6 x}

What is the answer to x^{-2}+5x^{-1}+6=0 ?
The answer to x^{-2}+5x^{-1}+6=0 is x=-1/3 ,x=-1/2
Solve for x: x^{-2}+5x^{-1}+6=0
The solution is x=-1/3 ,x=-1/2