1/x+x=2

Solution

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

x = 1

Solution steps

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

Multiply both sides by

x

1 + x^{2} = 2 x

Solve

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

x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1

\frac{1}{x} + x = 5

\frac{3}{x} = x

x, y = \frac{x}{x + 2}

(2 + j^{3}) = \frac{s + 1}{s - 2}

\frac{- 4}{x} + 10 = 20