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

The answer to (x-1/x)=2 is x=1+sqrt(2),x=1-sqrt(2)

Solve for x: (x-1/x)=2

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

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

x = 1 + 2, x = 1 - 2

Solution steps

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

Simplify

(x - \frac{1}{x}) : x - \frac{1}{x}

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

\frac{7 x - 4}{5 x + 2} - 2 = 10

\frac{96}{b} = 16

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

\frac{2}{x ^{2}} = 0

\frac{80}{X} - \frac{80}{X + 6} = 3

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