Inequality with 4 variables
Algebra
Level
5
\[\large P=(x+y)(z+t)\]
Let \(x,y,z,t\) be positive real numbers satisfying \(x^2+y^2+z^2+t^2=10\) and \(xyzt=4\).
If the maximum value of the expression is \(S\), find \( \lfloor 100 S \rfloor \).
by
Khang Nguyen Thanh