24
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Completing The Square

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

The solution to 3x2 – 12x + 24 = 0 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

Use the quadratic formula for 3x² − 12x + 24 = 0. The discriminant is (−12)² − 4(3)(24) = 144 − 288 = −144, so the solutions are (12 ± √−144)/6 = (12 ± 12i)/6 = 2 ± 2i. Therefore, the correct choice is “2 + 2i or 2 − 2i.”

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