a+1/a-2=0

Solution

a + \frac{1}{a} - 2 = 0

a = 1

Solution steps

a + \frac{1}{a} - 2 = 0

Multiply both sides by

a

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

Solve

a^{2} + 1 - 2 a = 0 : a = 1

a = 1

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = 1

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

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

f^{- 1} (- 2) = 9, f (- 6)

18 (1 0^{- 6}) = \frac{x ^{2}}{1 - x}

\frac{48}{8} = \frac{42}{x}