13
AssignmentMultiple Choice

Operations with Complex Numbers

Question 13 • Fall 24 GMS Advanced Algebra: Concepts and Connections A

Choose an equation that would be used to solve 0 = -x2 + 10x – 8

Answer
A
(x + 25)2 = –8
B
(x – 5)2 = 17
C
(x – 10)2 = 25

Explanation

Start with 0 = −x² + 10x − 8 and multiply both sides by −1 to get x² − 10x + 8 = 0. Rearrange to x² − 10x = −8, then complete the square by adding 25 to both sides: (x − 5)² = 17. So the equation is choice B, (x − 5)² = 17.

AI-written and checked against the verified answer.

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