Question

Which of the following tables shows the correct steps to transform x^2+8x+15=0 into the form of (x-p)^2=q (p and q are integers)

table 1:
step 1.x^2+8x+15-1=0-1
step 2.x^2 +8x+14=-1
step 3.(x+4)^2=-1

table 2:
step 1.x^2+8x+15-2=0-2
step 2.x^2+8x+13=-2
step 3.(x+4)^2-2

table 3:
step 1.x^2+8x+15+1=0+1
step 2.x^2+8x+16=1
step 3.(x+4)^2=1

table 4:
step 1.x^2+8x+15+1=0+2
step 2.x^2+8x+17=2
step 3.(x+4)^2=2

Answer 1

The best and most correct answer among the choices provided by the question is the third choice:
table 3:
step 1.x^2+8x+15+1=0+1
step 2.x^2+8x+16=1
step 3.(x+4)^2=1

I hope my answer has come to your help. God bless and have a nice day ahead!