SOLUTION: The Product of two consecutive odd integers is 1 less than twice their sum. Find the integers.

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Question 277683: The Product of two consecutive odd integers is 1 less than twice their sum.
Find the integers.
Answer by mananth(16946) About Me  (Show Source):
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The Product of two consecutive odd integers is 1 less than twice their sum.
Find the integers.
Let the consecutive odd numbers be x and x+2
x(x+2)+1=2(x+x+2)
x^2+2x+1 = 4x+4
x^2-2x-3=0
x^2-3x+x-3=0
x(x-3)+1(x-3)=0
(x+1)(x-3)=0
x=-1 or 3