Question
The sum of the squares of two consecutive even integers
is 340. Find the integers.Solution
Let the integers be x and x + 2. Then, x² + (x + 2)² = 340. x² + (x² + 4x + 4) = 340, 2x² + 4x - 336 = 0, x² + 2x - 168 = 0. Using the quadratic formula, x = 12. The integers are 10 and 12. Answer: b) 12 and 14.
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