Question

The sum of a number and its reciprocal is one eigth of 68.what is the product of the number and it's reciprocal.

Answer 1

Answer:

Correct option is

A

8

Let the number be x.

According to the question,

x+  x  1  =  8 34

​x

x  

2

+1  =  4 17

​4x  

2

+4=17x

4x  

2

−17x+4=0

4x  

2

−16x−x+4=0

4x(x−4)−1(x−4)=0

(x−4)(4x−1)=0

x=4,  

4

1

​

 

 

Since,

⇒4×  

4

⇒4×2

⇒8

 

Hence, this is the answer.

Step-by-step explanation: