MathDB

38

Part of 1976 IMO Longlists

Problems(1)

Prove that the fractional part of x exceeds 10^{-19.76}.

Source:

1/28/2011
Let x=a+bx =\sqrt{a}+\sqrt{b}, where aa and bb are natural numbers, xx is not an integer, and x<1976x < 1976. Prove that the fractional part of xx exceeds 10−19.7610^{-19.76}.
floor functionnumber theory unsolvednumber theory