What is the answer to 3x^{-2}-14x^{-1}-5=0 ?

The answer to 3x^{-2}-14x^{-1}-5=0 is x=-3,x= 1/5

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3x^{-2}-14x^{-1}-5=0

3 x^{- 2} - 14 x^{- 1} - 5 = 0

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

Solution steps

3 x^{- 2} - 14 x^{- 1} - 5 = 0

Refine

\frac{3}{x ^{2}} - \frac{14}{x} - 5 = 0

Multiply by LCM

3 - 14 x - 5 x^{2} = 0

Solve

3 - 14 x - 5 x^{2} = 0 : x = - 3, x = \frac{1}{5}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

n (x) = \frac{( 7 x + 5 )}{( x - 8 )}

\frac{x + 1}{3 x} = \frac{1}{6}

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

a + 24 = \frac{144}{a}

2 a - 5 = \frac{4}{a}

What is the answer to 3x^{-2}-14x^{-1}-5=0 ?
The answer to 3x^{-2}-14x^{-1}-5=0 is x=-3,x= 1/5
Solve for x: 3x^{-2}-14x^{-1}-5=0
The solution is x=-3,x= 1/5