Question

if a+1/b=1 and b+1/c=1 then prove that c+1/a=1​

Answer 1

Answer:

a+1/b=1

=> 1/b=1-a

=> b=1/(1-a)

again ,

b+1/c=1

=> b=1-1/c

so,

1/(1-a)=1-1/c

=> 1/(1-a)=(c-1)/c

=> (1-a)(c-1)=c

=> c-ac-1+a=c

=> a-ac-1=c-c

=> a-ac-1=0

=> ac+1=s

=> ac/a+1/a=a/a

=> c+1/a=1 (proved)