x-1-1-1-1-x-and-y-2-2-1-1-y-find-x-y-

Question Number 89920 by akash4081 last updated on 20/Apr/20

x = \frac{1}{1 + \frac{1}{1 + x}} a n d y = \frac{2}{2 + \frac{1}{1 + y}} f i n d x + y

Commented by john santu last updated on 20/Apr/20

x = \frac{x + 1}{x + 2} \Rightarrow x = \frac{- 1 \pm \sqrt{5}}{2}

y = \frac{2 (y + 1)}{2 y + 3} \Rightarrow y = \frac{- 1 \pm \sqrt{17}}{4}

∴ x + y = (\frac{- 1 \pm \sqrt{5}}{2}) + (\frac{- 1 \pm \sqrt{17}}{4})