Question

Which of the following tables shows the correct steps to transform x2 + 6x + 8 = 0 into the form (x − p)2 = q? [p and q are integers] (5 points)

Answer 1

x^2+6x+8=0
(x+6/2)^2-(6/2)^2+8=0
(x+3)^2-(3)^2+8=0
(x+3)^2-9+8=0
(x+3)^2-1=0
(x+3)^2-1+1=0+1
(x+3)^2=1
Comparing with (x-p)^2=q
-p=3→p=-3
q=1

Answer: p=-3 and q=1