The difference between a natural
number and twice its reciprocal
is 47/7. What is the number ,
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Step-by-step explanation:
Let us say that the natural number is x.
Then its reciprocal = 1/x
According to the question,
x - 2/x = 47/7
7x^2/7x - 14/7x = 47x/7x
7x^2 - 14 = 47x
7x^2 - 42x - 14 = 0
We will now factorise it.
We need two natural numbers whose sum is -42 and product is -98.
There might be irrationals which satisfy this condition but we need natural numbers. So, this question is wrong (because there are no such natural numbers).
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