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The sum of the squares of two consecutive positive even numbers is 52. Find the numbers. |
Answer» Let the consecutive positive even numbers be x and x + 2. From the given information, x2 + (x + 2)2 = 52 2x2 + 4x + 4 = 52 2x2 + 4x − 48 = 0 x2 + 2x − 24 = 0 (x + 6) (x − 4) = 0 x = − 6, 4 Since, the numbers are positive, so x = 4. Thus, the numbers are 4 and 6. |
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