SOLUTION: The sum of the squares of two consecutive even integers is 1684. Find the integers.
what are the negative and positive integers? (4 answers)
Algebra.Com
Question 618083: The sum of the squares of two consecutive even integers is 1684. Find the integers.
what are the negative and positive integers? (4 answers)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent one of the even integers, then 
represents a consecutive even integer.
^2\ =\ 1684)
Expand, collect terms, put the equation in standard form, and solve the quadratic. Hint: A 2 will factor out of all three terms, then notice that the first degree coefficient is very small as compared to the constant term. Look for two even integer factors in the neighborhood of the square root of the constant term.
Once you have two values for 
, calculate the two values of 
John
My calculator said it, I believe it, that settles it
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