To form a perfect square, we need to add (b/2)² to the equation.
x² + 16x ⇒ b = 16
[tex]\bigg( \dfrac{b}{2} \bigg)^2 = \bigg( \dfrac{16}{2} \bigg)^2 = \bigg(8 \bigg)^2= 64[/tex]
We need to add 64 to the equation.
x² + 16x + 64 = (x+ 8)²
Answer: We need to add 64 to the equation.