MathDB

7

Part of 1972 Canada National Olympiad

Problems(1)

\sqrt{2}

Source: Canada 1972, Problem 7

6/25/2006
a) Prove that the values of xx for which x=(x2+1)/198x=(x^2+1)/198 lie between 1/1981/198 and 197.99494949⋯197.99494949\cdots. b) Use the result of problem a) to prove that 2<1.41421356‾\sqrt{2}<1.41\overline{421356}. c) Is it true that 2<1.41421356\sqrt{2}<1.41421356?
quadraticslimitalgebrabinomial theorem