What is the answer to 5x^{-2}-24x^{-1}-5=0 ?

The answer to 5x^{-2}-24x^{-1}-5=0 is x=-5,x= 1/5

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5x^{-2}-24x^{-1}-5=0

5 x^{- 2} - 24 x^{- 1} - 5 = 0

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

Decimal Notation

x = - 5, x = 0.2

Solution steps

5 x^{- 2} - 24 x^{- 1} - 5 = 0

Refine

\frac{5}{x ^{2}} - \frac{24}{x} - 5 = 0

Multiply by LCM

5 - 24 x - 5 x^{2} = 0

Solve

5 - 24 x - 5 x^{2} = 0 : x = - 5, x = \frac{1}{5}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

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

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

x, y + \frac{1}{x} = 0

\frac{2 + 3}{( 2 x + 1 ) ( 2 x - 1 )} = 3

8 x - x^{- 2} = 0

What is the answer to 5x^{-2}-24x^{-1}-5=0 ?
The answer to 5x^{-2}-24x^{-1}-5=0 is x=-5,x= 1/5
Solve for x: 5x^{-2}-24x^{-1}-5=0
The solution is x=-5,x= 1/5