SOLUTION: if the product of two consecutive odd integers is decreased by 3 the result is 12

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Question 334797: if the product of two consecutive odd integers is decreased by 3 the result is 12
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Problems such as this can be solved in many ways. Since this one has such a small product, simple trial and error will get the result in short order.
1*3 = 3 nope
3*5 = 15 -3 = 12 there you go
Now, is there another answer too?
(-5)*(-3) = 15-3 = 12 wow. two answers.
Now let's 'do the math'
Let the two integers be x and x+2
%28x%2A%28x%2B2%29%29+-3+=+12
x%5E2+%2B+2x+-3+=+12
x%5E2+%2B+2x+-15+=+0
%28x%2B5%29%28x-3%29=0
So x = -5 or x = 3
thus there are two sets of answers
x = -5 and -3
x = 3 and 5
Just as we found via trial and error