What is the answer to 4x^{-2}-7x^{-1}-15=0 ?

The answer to 4x^{-2}-7x^{-1}-15=0 is x=-4/5 ,x= 1/3

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4x^{-2}-7x^{-1}-15=0

4 x^{- 2} - 7 x^{- 1} - 15 = 0

x = - \frac{4}{5}, x = \frac{1}{3}

Solution steps

4 x^{- 2} - 7 x^{- 1} - 15 = 0

Refine

\frac{4}{x ^{2}} - \frac{7}{x} - 15 = 0

Multiply by LCM

4 - 7 x - 15 x^{2} = 0

Solve

4 - 7 x - 15 x^{2} = 0 : x = - \frac{4}{5}, x = \frac{1}{3}

x = - \frac{4}{5}, x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{4}{5}, x = \frac{1}{3}

81 = \frac{64}{x ^{2}}

(3 x + 5)^{2} = \frac{- 1}{9 x + 15}

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

\frac{1}{x} = \frac{7}{300}

\frac{8}{x} = \frac{x}{6}

What is the answer to 4x^{-2}-7x^{-1}-15=0 ?
The answer to 4x^{-2}-7x^{-1}-15=0 is x=-4/5 ,x= 1/3
Solve for x: 4x^{-2}-7x^{-1}-15=0
The solution is x=-4/5 ,x= 1/3