augustteuscheroz4slq augustteuscheroz4slq

09-11-2017
Mathematics

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Find two consecutive odd integers such that their product is 59 more than 2 times their sum

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jorel1380 jorel1380

09-11-2017

Let n and n+2 be the integers. Then:
n(n+2)-59=2(n+n+2)
n²+2n-59-4n-4=0
n²-2n-63=0
(n-9)(n+7)=0
n=9 or -7
n+2=11 or -5

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