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A natural number is two and two-thirds more than its reciprocal________
X-1 / x = 8 / 3 both sides multiply 3 at the same time, and then shift the term to get 3x ^ 2-8x-3 = 0, decompose the factor to get (3x + 1) * (x-3) = 0, and solve to get x = - 1 / 3 or x = 3, so this natural number is 3
A natural number is two and two-thirds more than its reciprocal. This number is three
The sum of a natural number and its reciprocal is three and one-third. What is the natural number
The sum of a natural number and its reciprocal is 3 and one-third (3 + 1 / 3). The natural number is 3
The sum of a natural number and its reciprocal is 4 and a quarter (4 + 1 / 4). The natural number is 4
The sum of a natural number and its reciprocal is 5 and one fifth (5 + 1 / 5). The natural number is 5
It comes down to: the sum of a natural number and its reciprocal is x + 1 / x, and the natural number is X
X can be a natural number of two or more,
The reciprocal of 1 is 1, which is special
The sum of a natural number and its reciprocal is 2 (1 + 1). The natural number is 1
In the future, this kind of problem can be solved directly by formula
Please accept it
A natural number is two and two thirds more than its reciprocal. What is the natural number?
The natural number is X
x=1/x+8/3
x^2=1+8/3*x
3x^2=3+8x
3x^2-8x-3=0
(x-3)(3x+1)=0
X = 3 or x = - 1 / 3
But it's a natural number, only integers, so it can only be 3
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