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The sum of natural number and its reciprocal is 50 upon 7 find the numbers |
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Answer» Answer: Step-by-step explanation: Let x be the required natural number. According to question x + 1/x = 50/7 7x^(2) + 7 = 50X 7x^(2) -50x + 7 = 0 7x^(2) - 49X - x + 7 = 0 7x ( x -7 ) - ( x - 7 ) = 0 ( x - 7) ( 7x - 1) = 0 x = 7 or 1/7 Since, x is natural number. Therefore, x cannot be EQUAL to 1/7. Hence, 7 is the required number. |
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