## swiftskier96 Group Title Check my answer? 17. What value completes the square for the expression? x² – 12x (1 point) –6 6 36 –36 <---- My answer one year ago one year ago

1. whpalmer4 Group Title

If you've successfully completed the square, you should be able to write \[(x+a)(x+a) = x^2 + 2ax + a^2\] and have that equal your new equation, for some value of a. Is there a value of a that works?

2. phi Group Title

the rule is (b/2)^2 where b is the coefficient on x when you square b it will always be positive

3. phi Group Title

the point is that the value you add to complete the square is always positive, so it can't be -36

4. swiftskier96 Group Title

So for the value of a, do i just make up a number or is there a certain number? Cause my thinking is that x has to be either 6 or 36. @whpalmer4

5. phi Group Title

the number you want is (b/2)^2 where b is the number in front of the x in this case, b = -12

6. swiftskier96 Group Title

36. The answer is 36. Thanks! :)

7. phi Group Title

yes, if you add +36 you get x^2 -12x +36 we can factor this to get (x-6)(x-6) which is (x-6)^2 a perfect square