Both sides of the inequality
Algebra
Level
4
Let \(x, y, z\) be real numbers satisfying \(x+y+z=15\) and \(xy+yz+zx=72\). Let the minimum value of \(x\) be \(S,\) and the maximum value \(M\).
Find the value of \(S+M.\)
by
Sathvik Acharya