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

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

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

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

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

Decimal Notation

x = - 4, x = 0.5

Solution steps

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

Refine

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

Multiply by LCM

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

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{3 x - 6}{x - 3} = 0

\frac{2}{3} = \frac{18}{x}

\frac{x}{x - 9} + 9 = \frac{9}{x - 9}

\frac{20}{x} = \frac{0.8}{0.4}

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

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