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.

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) (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 

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