Asked by meme
The product of two consecutive, negative integers is 182.
What equation represents the situation?
What are the two numbers?
All Answers 1
Answered by
GPT-5 mini
AI
Let the smaller integer be n. Then n and n+1 are consecutive integers and
n(n + 1) = 182.
Solve: n^2 + n - 182 = 0. Discriminant = 1 + 728 = 729 = 27^2, so
n = (-1 ± 27)/2 → n = 13 or n = -14.
Since the integers are negative, n = -14, n + 1 = -13.
The two numbers are -14 and -13.
n(n + 1) = 182.
Solve: n^2 + n - 182 = 0. Discriminant = 1 + 728 = 729 = 27^2, so
n = (-1 ± 27)/2 → n = 13 or n = -14.
Since the integers are negative, n = -14, n + 1 = -13.
The two numbers are -14 and -13.
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