SOLUTION: Find two consecutive odd integers such that the square of the first, added to 3 times the second, is 24 must be solved with quadratic formula and/or by factoring. explain and sh

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Question 281263: Find two consecutive odd integers such that the square of the first, added to 3 times the second, is 24
must be solved with quadratic formula and/or by factoring. explain and show work
thanks(:

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Th integers r
n and
n+%2B+2
given:
n%5E2+%2B+3%2A%28n+%2B+2%29+=+24
n%5E2+%2B+3n+%2B+6+-+24+=+0
n%5E2+%2B+3n+-+18+=+0
%28n+%2B+6%29%2A%28n+-+3%29+=+0
n+=+-6 (can't be minus)
n+=+3
n+%2B+2+=+5
The numbers are 3 and 5
check:
n%5E2+%2B+3%2A%28n+%2B+2%29+=+24
3%5E2+%2B+3%2A5+=+24
9+%2B+15+=+24
24+=+24
OK