1963 IMO Problems/Problem 1
Contents
[hide]Problem
Find all real roots of the equation
where is a real parameter.
Video Solution
https://youtu.be/N499P8lsb7U?si=BH8letxqFGEVpq34 [Video Solution by little-fermat]
Solution
Assuming , square the equation, obtaining . If we have , we can square again, obtaining
We must have , so we have
However, this is only a solution when
so we have and
and
See Also
1963 IMO (Problems) • Resources | ||
Preceded by First Question |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 2 |
All IMO Problems and Solutions |