SOLUTION: The difference of the squares of two consecutive negative integers is 9. Find the integers.

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Question 564686: The difference of the squares of two consecutive negative integers is 9. Find the integers.
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
call the integers +-n+ and +-n+-1+
given:
+%28+-n+-+1+%29%5E2+-+%28+-n+%29%5E2+=+9+
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+n%5E2+%2B+2n+%2B+1+-+n%5E2+=+9+
+2n+%2B+1+=+9+
+2n+=+8+
+n+=+4+
+-n+=+-4+
+-n+-+1+=+-5+
the numbers are +-4+ and +-5+
check:
+%28-5%29%5E2+-+%28-4%29%5E2+=+25+-+16+
+25+-+16+=+9+