hmgreer0195 hmgreer0195
  • 17-06-2022
  • Mathematics
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The product of two consecutive integers is 2. Find the integers.

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sqdancefan
sqdancefan sqdancefan
  • 05-07-2022

Answer:

  -2 and -1  or  1 and 2

Step-by-step explanation:

Consecutive integers differ by 1. We are looking for integer factors of 2 that differ by 1.

Divisors of 2

The integer divisors of 2 are -2, -1, 1, 2. That is, ...

  2 = (-2)(-1) = (1)(2) . . . . . listing smallest factor first

These factor pairs are consecutive integers.

Consecutive integers

The two consecutive integers that have a product of 2 can be either of ...

  • -2 and -1
  • 1 and 2
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