Algebra
# Completing The Square

As $x$ ranges over all real values, what is the minimum value of $x^ 2 + 28 x + 313$?

As $x$ ranges over all real values, what is the smallest integer value of

$\frac{ x^2 + 22x + 333} { 11} ?$

**Details and assumptions**

Note that we are not asking for the value of $x$.

If the solution of the equation $x^2+6x-1=0$ is $x=a \pm \sqrt{b}$, what is $a+b$?