SOLUTION: The product of two consecutive positive odd integers is one less than three times their sum. Find the integers.

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Question 283190: The product of two consecutive positive odd integers is one less than three times their sum. Find the integers.
Answer by Deina(147) About Me  (Show Source):
You can put this solution on YOUR website!
+x%28x+%2B+2%29+=+3%282x+%2B+2%29+-+1+

Expand:
+x%5E2+%2B+2x+=+6x+%2B+6+-+1+

Subtract 6x + 5 from each side:
+x%5E2+-+4x+-+5+=+0+

Now that the equation is in the classic +ax%5E2+%2B+bx+%2B+c+=+0+ form you can solve it like any other quadratic equation.
Remember that this is solving for the lower number, so use it and the next consecutive higher integer and check them to make sure they fit the criteria in the question and bob's your uncle!