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The product of two consecutive even integers is 8. Find the integers.

Note: each set of brackets represents one solution

User Rivenfall
by
4.9k points

2 Answers

5 votes

Answer:

2 and 4

Explanation:

you can just try and u'll get 2 and 4

User Wibble
by
5.8k points
3 votes

Answer:

  • -4 and -2 or 2 and 4

Explanation:

Let the integers be x and x+2

Then we have:

  • x(x+2) = 8
  • x^2 + 2x = 8
  • x^2 + 2x + 1 = 9
  • (x + 1)^2 = 3^2
  • x + 1 = ± 3
  • x = -1 ± 3
  • x = -4 and x = 2

The numbers are:

  • -4 and -2 or 2 and 4
User Zola
by
5.1k points