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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
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

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whpalmer4Best ResponseYou've already chosen the best response.0
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?
 one year ago

phiBest ResponseYou've already chosen the best response.1
the rule is (b/2)^2 where b is the coefficient on x when you square b it will always be positive
 one year ago

phiBest ResponseYou've already chosen the best response.1
the point is that the value you add to complete the square is always positive, so it can't be 36
 one year ago

swiftskier96Best ResponseYou've already chosen the best response.1
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
 one year ago

phiBest ResponseYou've already chosen the best response.1
the number you want is (b/2)^2 where b is the number in front of the x in this case, b = 12
 one year ago

swiftskier96Best ResponseYou've already chosen the best response.1
36. The answer is 36. Thanks! :)
 one year ago

phiBest ResponseYou've already chosen the best response.1
yes, if you add +36 you get x^2 12x +36 we can factor this to get (x6)(x6) which is (x6)^2 a perfect square
 one year ago
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