MathDB

414

Part of 1985 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 414 All Soviet Union MO 1985 x/(2+(x+(2+(x+(2+..))))=1

Source:

8/5/2019
Solve the equation ("22" encounters 19851985 times): x2+x2+x2+...x2+1+x=1\dfrac{x}{2+ \dfrac{x}{2+\dfrac{x}{2+... \dfrac{x}{2+\sqrt {1+x}}}}}=1
algebraequationrecurrence relation