1969 Canadian MO Problems/Problem 2
Problem
Determine which of the two numbers ,
is greater for any
.
Solution
Multiplying and dividing by its conjugate,
Similarly, . We know that
for all positive
, so
.
Determine which of the two numbers ,
is greater for any
.
Multiplying and dividing by its conjugate,
Similarly, . We know that
for all positive
, so
.
Something appears to not have loaded correctly.