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Operations with Complex Numbers

Question 2 • Fall 24 GMS Advanced Algebra: Concepts and Connections A

What is x2 – 6 = 16x + 30 rewritten in standard form, then factored? | What value(s) of x make the equation true?

Answer
A
x = 6
B
= –18 or x = 2
C
= –6 or x = 6
D
x = –2 or x = 18

Explanation

Move all terms to one side: x² − 6 = 16x + 30 becomes x² − 16x − 36 = 0. Factor to get (x − 18)(x + 2) = 0, so x = 18 or x = −2. Choice D gives these two values.

AI-written and checked against the verified answer.

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