x+(1/x)=2

Solution

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

x = 1

Solution steps

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

Simplify

(\frac{1}{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

x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1

x + (\frac{1}{x}) = 3

(- 3) (- \frac{18}{k - 3}) = 30

\frac{2 α}{1 - α} = 113.49

- 0.91 = \frac{550500 - 562750}{x}

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