What is the answer to 5x^{-2}-29x^{-1}-6=0 ?

The answer to 5x^{-2}-29x^{-1}-6=0 is x=-5,x= 1/6

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5x^{-2}-29x^{-1}-6=0

5 x^{- 2} - 29 x^{- 1} - 6 = 0

x = - 5, x = \frac{1}{6}

Solution steps

5 x^{- 2} - 29 x^{- 1} - 6 = 0

Refine

\frac{5}{x ^{2}} - \frac{29}{x} - 6 = 0

Multiply by LCM

5 - 29 x - 6 x^{2} = 0

Solve

5 - 29 x - 6 x^{2} = 0 : x = - 5, x = \frac{1}{6}

x = - 5, x = \frac{1}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 5, x = \frac{1}{6}

\frac{14}{x} = - \frac{2}{3}

7 - \frac{5}{x - 2} = \frac{10}{x + 2}

\frac{5.6}{0.4 - r} = - 8

\frac{3 ( a + 1 )}{a} = a

\frac{36}{b} - 3 = 0

What is the answer to 5x^{-2}-29x^{-1}-6=0 ?
The answer to 5x^{-2}-29x^{-1}-6=0 is x=-5,x= 1/6
Solve for x: 5x^{-2}-29x^{-1}-6=0
The solution is x=-5,x= 1/6