## Algebra: A Combined Approach (4th Edition)

$(\frac{b}{2})^2$
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 $(\frac{b}{2})^2$.