Question 670056
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Hi,
The sum of the squares of two consecutive positive even integers is 340.
Translate into an equation: 
  x^2 + (x+2)^2 = 340
   2x^2 + 4x - 336 = 0
   x^2 + 2x - 168 = 0
   (x+14)(x-12) = 0,  x = 12 (throwing out negative solution)
The two consecutive positive even integers are 12, 14