Sum of squares of two consecutive even integers
Background I was working through the practice problems found in College Algebra Seventh Edition by Stewart, Redlin, and Watson when I stumbled upon this problem found in 1.4 Exercises, Question 68. The question is stated as: The sum of the squares of two consecutive even integers is 1252. Find the integers. I found this question very enjoyable as: You needed to have a concrete definition of an even integer Solve the equation from your knowledge of quadratic equations Solving the equation We can formally state the question as ...