SOLUTION: The sum of the squares of two consectives positive even integers is 340. Find the integers.

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Question 198707: The sum of the squares of two consectives positive even integers is 340. Find the integers.
Answer by solver91311(24713) About Me  (Show Source):
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1st integer:

Next consecutive even integer:

Sum of the squares:









Solve the quadratic for to get the first integer. Hint: It factors. Since the constant is a large negative and the first degree term is quite small, the factors must be of opposite signs and have a difference of 2. Investigate the square root of 168 to get an idea of where to start. You will get two roots, but exclude the negative one because the problem asks for positive integers.

John