kiwilime27otjnhr kiwilime27otjnhr

23-07-2017
Mathematics

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The product of two consecutive even positive integers is 674 more than the sum of the two integers. Find the integers.

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konrad509 konrad509

23-07-2017

[tex]2n(2n+2)=2n+2n+2+674\\ 4n^2+4n=4n+676\\ 4n^2=676\\ n^2=169\\ n=-13 \vee n=13[/tex]
[tex]-13\not\ \textgreater \ 0[/tex]

[tex]n=13\\ 2n=26\\ 2n+2=28[/tex]

It's 26 and 28.

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