Question

The sum of a number x and its reciprocal is 18.Then the equation representing this relation is......... *​

Answer 1

Answer:Let the required number be x. Then

x+  

x

1

​  

=2  

30

1

​  

 

⇒  

x

x  

2

+1

​  

=  

30

61

​  

 

⇒30x  

2

+30=61x⇒6x(5x−6)−5(5x−6)=0

⇒x=  

6

5

​  

orx=  

5

6

​  

 

Hence the required number is  

6

5

​  

 or  

5

6

​

Step-by-step explanation: