- 3 and - 1

Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!
 


(1) Never solve a quadratic equation the way tutor @josgarthmetic did:




looks like...


(2) The solution from tutor @ewatrrr is algebraically sound; but the problem specified that the two integers are odd.


To avoid overlooking the fact that the problem asks for consecutive odd integers, you can use "2n-1" and "2n+1" for the two integers; then an integer solution for n will guarantee that the two integers are odd.













 or 


n must be an integer, so we reject the solution n = -5/2; the single solution to our equation is n = -1.


That gives us, for the two consecutive negative odd integers that we are looking for,

2n-1 = 2(-1)-1 = -2-1 = -3

2n+1 = 2(-1)+1 = -2+1 = -1


ANSWERS: -3 and -1


 

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