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Operations with Complex Numbers

Question 5 • Fall 24 GMS Advanced Algebra: Concepts and Connections A

The product of two consecutive, negative integers is 182. | What equation represents the situation? | What are the two numbers?

Answer
A
x(x + 1) = –182
B
x(x + 1) = 0
C
x(x + 1) = 182

Explanation

Let the consecutive integers be x and x + 1. Their product is 182, so the equation is x(x + 1) = 182, which is choice C. Since the integers are negative, the pair is −14 and −13: their product is 182 and they differ by 1.

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