SOLUTION: The product of two consecutive odd integers is seven thousand, fifty-five. What are the integers?

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Question 411568: The product of two consecutive odd integers is seven thousand, fifty-five. What are the integers?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x and (x+2) represent the two consecutive odd integers 

Question states***

 x(x+2) = 7055

Solving for x

 x^2 + 2x - 7055 = 0

factoring

(x+85)(x-83)=0 |Note:SUM of the inner product(85x) and the outer product(-83x) = 2x

(x+85)=0  x = -85 |the two consecutive odd integers being -85,-83

(x-83)=0  x = 83  |the two consecutive odd integers being 83,85



CHECKING our Answer(s)***

 -85*-83 = 83*85 = 7055