SOLUTION: Translate this problem to an equation and solve. The sum of the squares of two consecutive positive even integers is 340. Find the integers.

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Question 670056: Translate this problem to an equation and solve.
The sum of the squares of two consecutive positive even integers is 340. Find the integers.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

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