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

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

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

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

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

Decimal Notation

x = 4, x = - 0.5

Solution steps

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

Refine

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

Multiply both sides by

x

2 x^{2} - 4 = 7 x

Solve

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

x^{2} + \frac{5}{x ^{2}} = 6

\frac{9}{10} = \frac{7}{x}

\frac{9}{z + 25} + \frac{16}{z} = 1

\frac{- 8}{x} = \frac{- 3}{4 x - 10}

\frac{1}{x} = a + b