SOLUTION: How to find the sums of the two squares of two consecutive even integers is 340. Find the integers.

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Question 391162: How to find the sums of the two squares of two consecutive even integers is 340. Find the integers.
Answer by mananth(16946) About Me  (Show Source):
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How to find the sums of the two squares of two consecutive even integers is 340. Find the integers.
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let the integers be x & x+2
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x^2 + (x+2)^2 =340
x^2+x^2+4x+4=340
2x^2+4x+4=340
2x^2+4x-336=0
/2
x^2+2x-168=0
x^2+14x-12x-168=0
x(x+14)-12(x+14)=0
(x+14)(x-12)=0
x=-14 OR x=12
..
The numbers can be -14,-12
OR
12,14