Question

Which of the following values "completes the square," or creates a perfect square trinomial, for x2 + 6x + ___?

Answer 1

The answer would be 9, since:
(x+3)(x+3)
x^2+6x+9
The two given values are the same, and nine is the missing value that creates a perfect square:
(x+3)^2

Answer 2

Value = 9

Explanation:

9 is the value that creates a perfect square trinomial: x2 + 6x + 9 for the binomial (x + 3 ). Following the steps, we can understand how to obtain the perfect square trinomial: (a + b)2 = (a + b ) (a + b )= a2 +2ab + b2

x = a

3 = b

(x + 3)2 = (x + 3) (x + 3)= x.x + 2.3x + 3.3 = x2 + 6x + 9