Question

it is given that a b and c are any positive real numbers such that abc=1 what is the value of a/ab+a+1+b/bc+b+1+ c/ca+c+1​

Answer 1

Answer:We know 2(ab+ac+bc)=(a+b+c)  

2

−a  

2

−b  

2

−c  

2

 

2(ab+ac+bc)=(a+b+c)  

2

−1

(ab+bc+ac)=  

2

(a+b+c)  

2

−1

​

 

Now if a=b=c=  

3

​

 

1

​

, then the above expression attains maximum value of 1.

Hence for distinct values of a,b and c,  

2

(a+b+c)  

2

−1

​

<1

Hence, ab+bc+ac<1

Step-by-step explanation: