SOLUTION: The product of two consecutive integers is 306. Find the integers.

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Question 693031:
The product of two consecutive integers is 306. Find the integers.

Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
LET X & (X+1) BE THE 2 INTEGERS.
X(X+1)=306
X^2+X-306=0
(X+18)(X-17)=0
X-17=0
X=17 ANS. FOR THE SMALLER INTEGER.
17+1=18 ANS. FOR THE LARGER INTEGER.
PROOF:
17*18=306
306=306