Answer
$(\frac{b}{2})^2$
Work Step by Step
To solve
$x^2+bx=c$
by completing the square, our first step would be to take half of the coefficient of the b term, square it, and add it to both sides. In this case, we are shown a general example.
$(\frac{1}{2}\cdot b)^2=(\frac{b}{2})^2$
$x^2+bx+(\frac{b}{2})^2=c+(\frac{b}{2})^2$
Therefore, we would have to add $(\frac{b}{2})^2$.