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

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

112+92 is 202.

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3 and 5

The only squares of perfect squares in that range are 1, 16, and 81.

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

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

112+92 is 202.

12 and 14.

The numbers are 12 and 14.

The two consecutive negative odd integers having 74 as the sum of their squares are -5 and -7.

The sum of the squares of the three consecutive integers 11, 13, 15 = 515

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This is best solved by trial-and-error. If one set of consecutive even integers doesn't work, try a different set. Hint: The integers involved are fairly small.

The sum of the squares of the first 1000 positive odd integers (from 12 to 19992) is 1333333000.

42 + 52 = 16 + 25 = 41

Since 16 + 25=41, we know the integers are 4 and 5.