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

The answer to x-x^{-1}=2 is x=1+sqrt(2),x=1-sqrt(2)

Solve for x: x-x^{-1}=2

The solution is x=1+sqrt(2),x=1-sqrt(2)

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x - x^{- 1} = 2

x = 1 + 2, x = 1 - 2

Decimal Notation

x = 2.41421 \dots, x = - 0.41421 \dots

Solution steps

x - x^{- 1} = 2

Refine

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

Multiply both sides by

x

x^{2} - 1 = 2 x

Solve

x^{2} - 1 = 2 x : x = 1 + 2, x = 1 - 2

x = 1 + 2, x = 1 - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1 + 2, x = 1 - 2

x^{- 2} = 0.01

4 = \frac{1}{3 r - 6}

\frac{x ^{2} - 2 x}{x - 3} = 8

\frac{d}{1 - d} = \frac{12}{48}

- \frac{27}{x} = x^{2}

What is the answer to x-x^{-1}=2 ?
The answer to x-x^{-1}=2 is x=1+sqrt(2),x=1-sqrt(2)
Solve for x: x-x^{-1}=2
The solution is x=1+sqrt(2),x=1-sqrt(2)