the sum of natural number and its recipocals is 50/7 find the no.
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Answer: x = 7
Step-by-step explanation: x + 1/x = 50/7
x^2 + 1 = 50x/7
7x^2 + 7 = 50x
7x^2 - 50x + 7 = 0
Splitting the middle term,
7x^2 - 49x - x + 7 = 0
Taking 7x and - 1 common,
7x(x - 7) - 1(x - 7)
(x - 7)(7x - 1) = 0
x can be 7 or 1/7, since in question it is mentioned that x is a natural number, x = 7.
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