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put this solution on YOUR website!The product of two consecutive odd integers is eight thousand, eight hundred thirty-five. What are the integers?
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Let x = first consecutive odd integer
then
x+2 = second consecutive odd integer
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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
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Factoring the left side:
(x+95)(x-93) = 0
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Solution set is:
x = {93, -95}
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If we consider the "positive" solution:
x = 93 (first integer)
x+2 = 95 (second integer)
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If we consider the "negative" solution:
x = -95 (first integer)
-95+2 = -93 (second integer)
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