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

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

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

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

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

Solution steps

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

Refine

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

Multiply by LCM

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

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{2}{2 x - 1} = \frac{- 2}{5 x + 3}

- \frac{2}{7} = \frac{6}{x}

\frac{5}{y} + \frac{4}{y} = 3

\frac{5}{6} = \frac{13}{s + 7.5}

\frac{51}{d} = \frac{17}{2.1}

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