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If the sum of two numbers is 42 and their product is 437, then find the absolute difference between the numbers. |
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Answer» Let the numbers be x and y. Then, x + y = 42 and xy = 437 x - y = sqrt[(x + y)2 - 4xy] = sqrt[(42)2 - 4 x 437 ] = sqrt[1764 – 1748] = sqrt[16] = 4. Required difference = 4. |
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