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Sum of the squares of two consecutive even positive integers is 340. What are the numbers?

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Sum of the squares of two consecutive even positive integers is 340. What are the numbers?
posted Apr 30 by Mani Shankar Katta

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2 Answers

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12 &14


x^2+(x+2)^2=340 ===> positive solution is x=12
numbers are 12 &14

answer May 2 by Hanifa Mammadov
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x^2+(x+2)^2=340
x^2+x^2+4x+4=340
2x^2+4x-336=0
x^2+2x-168=0
x^2+14x-12x-168
x(x+14)-129x+14=0
(x+14)(x-12)=0
x=12 or-14
x=12 as x is positive
So the numbers are 12 and 14

answer 6 days ago by Ram Kushwah



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