12
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Completing The Square

Question 12 • Fall 24 GMS Advanced Algebra: Concepts and Connections A

The solution to x2 – 10x = 24 is 7 or –72 + 2i or 2 – 2i12 or –2.

Answer
A
7 or –7
B
2 + 2i or 2 – 2i
C
12 or –2

Explanation

Move 24 to the left to get x² − 10x − 24 = 0. Factor: (x − 12)(x + 2) = 0, so x = 12 or x = −2. Choice C, “12 or −2,” is correct.

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