August 2014, Questions 32
A student was given the equation x2 + 6x - 13 = 0 to solve by completing the square. The first step that was written is shown below.
The next step in the student’s process was x2 + 6x + c = 13 + c
State the value of c that creates a perfect square trinomial.
Explain how the value of c is determined.
To complete the square, you have to take one-half of the "b" term, which is 6. That gives you 3. Then you have to square the 3, which gives you 9.
Therefore, c = 9.
(x + 3)2 = x2 + 6x + 9
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