Suppose $r$ and $s$ are the values of $x$ that satisfy the equation \[x^2 - 2mx + (m^2+2m+3) = 0\]for some real number $m$. Find the minimu

Suppose r and s are the values of c that satisfy the equation x^2-2mx+(m^2+2m+3)=0 for some real number m. Find the minimum real value of r^2+s^2.

The answer is not 4...