SOLUTION: The product of two consecutive odd integers is eight thousand, eight hundred thirty-five. What are the integers?

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Question 152950: The product of two consecutive odd integers is eight thousand, eight hundred thirty-five. What are the integers?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
The product of two consecutive odd integers is eight thousand, eight hundred thirty-five. What are the integers?
.
Let x = first consecutive odd integer
then
x+2 = second consecutive odd integer
.
From the statement of the problem, we get our equation of:
x(x+2) = 8835
Expanding the left side:
x^2 + 2x = 8835
Subtracting 8835 from both sides:
x^2 + 2x - 8835 = 0
.
Factoring the left side:
(x+95)(x-93) = 0
.
Solution set is:
x = {93, -95}
.
If we consider the "positive" solution:
x = 93 (first integer)
x+2 = 95 (second integer)
.
If we consider the "negative" solution:
x = -95 (first integer)
-95+2 = -93 (second integer)
.