Question

To complete the square of$x^2+6x$, add _____

Short answer

$9$

Step-by-step solution

Step 1. Given information

We are given with the expression $x^2+6x$,

We have to complete the square of this expression.

Step 2. Complete the square

To form$x^2+bx+c$from$x^2+bx$

Divide the coefficient of $x$by $2$,

Thus,

$$\begin{gathered} c=\frac{6}{2} \\ =3 \end{gathered}$$

Square the result,

$c=3^2=9$