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

The answer to x^2+x-x^{-1}=0 is x\approx 0.75487…

Solve for x: x^2+x-x^{-1}=0

The solution is x\approx 0.75487…

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x^{2} + x - x^{- 1} = 0

x \approx 0.75487 \dots

Solution steps

x^{2} + x - x^{- 1} = 0

Refine

x^{2} + x - \frac{1}{x} = 0

Multiply both sides by

x

x^{3} + x^{2} - 1 = 0

Solve

x^{3} + x^{2} - 1 = 0 : x \approx 0.75487 \dots

x \approx 0.75487 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x \approx 0.75487 \dots

\frac{1}{x} + \frac{1}{x + 4} = 0

\frac{1}{x} = - 2

\frac{1}{x} = 12

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

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

What is the answer to x^2+x-x^{-1}=0 ?
The answer to x^2+x-x^{-1}=0 is x\approx 0.75487…
Solve for x: x^2+x-x^{-1}=0
The solution is x\approx 0.75487…