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The numbers are 12 and 14.

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What is The sum of the squares of two consecutive positive even integers is 340 Find the integers?

The sum of the squares of two consecutive positive even integers is 340. Find the integers.


The sum of the squares of two consecutive positive even integers is 340 Find the integers?

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The numbers are 12 and 14.


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144 + 196 = 340 so integers are 12 & 14.


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This is impossible to achieve with integers. If the numbers are consecutive even numbers, then this is the solution: 42 + 62 = 16 + 36 = 52


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If you have two consecutive integers then one of them must be odd and the other must be even. The square of an odd integer must be odd, the square of an even integer must be even. The sum of an odd number and an even number must be odd. Thus, the sum of squares of any two consecutive numbers must be odd. Therefore, the question has no valid answer.


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