Can the sum of a number and its reciprocal be 1 1/2? Why?

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Solution

Let one number be x
Its reciprocal be 1/x

According to the question

x + 1/x = 1 1/2
On taking lcm of the denominators
We get

(x^2 + 1)/x = 3/2
On rearranging the equation
2x^2 +2 - 3x =0

2x^2 - 3x + 2 =0

As this cannot be solved, a sum of a number and its reciprocal cannot be 3/2

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Similar questions

The sum of three times a number and four times its reciprocal can be written as:

The sum of a number and its reciprocal is $\frac{125}{22}$ The number is

A. $\frac{2}{11}$

B. $\frac{1}{11}$

C. $\frac{3}{11}$

N o n e o f t h e s e .

A.The sum of a whole number and its reciprocal is $\frac{10}{3}$ . Can you guess the number.

B.Seven times the reciprocal of a number added to $\frac{2}{3}$ gives $3$ . what is that number ?

1 \frac{1}{2}

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