SOLUTION: The product of two consecutive integers is 8 more than twice their sum. Find the integers.

Click here to see ALL problems on Problems-with-consecutive-odd-even-integers

Question 235069: The product of two consecutive integers is 8 more than twice their sum. Find the integers.
Answer by Stitch(470) (Show Source):
You can put this solution on YOUR website!
Given:
Equation 1: This is because they are consecutive integers
Equation 2:
Solution:
Start by plugging A + 1 in equation 2 for B

Then simplify the equation
Simplify again
Combine like terms
Subtract 4A from both sides
Subtract 10 from both sides
This equation can be foiled

That gives you 2 possible answers for A.
A + 2 = 0 or rewritten as A = -2
& A - 5 = 0 or rewritten as A = 5
Since 5 is the only positive number it is most likely the answer you would want in this case. But you should always check both.
Now plug 5 in equation 1 for A

Now check the answers