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

The answer to 2/x =x^2-2x-1 is x\approx 2.65896…

Solve for x: 2/x =x^2-2x-1

The solution is x\approx 2.65896…

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

x \approx 2.65896 \dots

Solution steps

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

Multiply both sides by

x

2 = x^{3} - 2 x^{2} - x

Solve

2 = x^{3} - 2 x^{2} - x : x \approx 2.65896 \dots

x \approx 2.65896 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x \approx 2.65896 \dots

x \cdot \frac{1}{x} = 1

\frac{2 x ^{2} + 5 x - 3}{x + 3} = 7

2^{- 5} = \frac{1}{x}

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

\frac{5}{x - 3} + 9 = 2

What is the answer to 2/x =x^2-2x-1 ?
The answer to 2/x =x^2-2x-1 is x\approx 2.65896…
Solve for x: 2/x =x^2-2x-1
The solution is x\approx 2.65896…