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Find two consecutive positive odd numbers, the sum of whose squares if 74. |
Answer» Let the consecutive positive odd numbers be x and x + 2. From the given information, x2 + (x + 2)2 = 74 2x2 + 4x + 4 = 74 2x2 + 4x − 70 = 0 x2 + 2x − 35 = 0 (x + 7)(x − 5) = 0 x = −7, 5 Since, the numbers are positive, so, x = 5. Thus, the numbers are 5 and 7. |
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