MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Harvard-MIT Mathematics Tournament
2005 Harvard-MIT Mathematics Tournament
7
2005 Algebra #7: max(funny expression)
2005 Algebra #7: max(funny expression)
Source:
April 29, 2013
calculus
Problem Statement
Let
x
x
x
be a positive real number. Find the maximum possible value of
x
2
+
2
−
x
4
+
4
x
.
\frac{x^2+2-\sqrt{x^4+4}}{x}.
x
x
2
+
2
−
x
4
+
4
.
Back to Problems
View on AoPS