Question

The beginning steps for determining the center and radius of a circle using the completing the square method are shown in the table.
Step 1
[original equation]: x2 − 10x + y2 + 12y = 20
Step 2
[group like terms]: (x2 − 10x) + (y2 + 12y) = 20
Step 3
[complete the square]:

Which of the following is the correct equation for Step 3?

Group of answer choices

(x2 − 10x + 25) + (y2 + 12y + 36) = 20 + 25 + 36

(x2 − 10x − 25) + (y2 + 12y + 36) = 20 − 25 + 36

(x2 − 10x − 5) + (y2 + 12y + 6) = 20 − 5 + 6

(x2 − 10x + 5) + (y2 + 12y + 6) = 20 + 5 + 6

Answer 1

Answer: (x2 − 10x + 25) + (y2 + 12y + 36) = 20 + 25 + 36

You need to add (b/2)^2 to each set of parentheses.