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Modeling with Quadratic Functions

Question 3 • *Integrated Math II Full

Complete each statement in the steps to solve x2 – 6x – 7 = 0 using the process of completing the square.

Answer
A
x – 3
B
x + 3
C
x – 6

Explanation

Move the constant to the other side: x² − 6x = 7. Half of −6 is −3, and squaring it gives 9, so adding 9 completes the square: x² − 6x + 9 = (x − 3)². The expression that completes the square is x − 3, choice A.

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