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    Question

    The sum of the squares of two consecutive even integers

    is 340. Find the integers.
    A 10 and 12 Correct Answer Incorrect Answer
    B 12 and 14 Correct Answer Incorrect Answer
    C 14 and 16 Correct Answer Incorrect Answer
    D 16 and 18 Correct Answer Incorrect Answer

    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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