if a+1/b=1,b+1/c=1 then c+1/ais
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Answer:
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a+1/b=1
a+1=b
1=b-a ............(1)
b+1/c=1
b+1=c
1=c-b ..............(2)
from (1)
1=b-a
b=1+a .................(3)
put (3) in (2)
1=c-(1+a)
1=c-1-a
2=c-a
c=2+a .................(4)
put (4) in (2)
1=c-b
1=2+a+a
1=2+2a
1-2=2a
-1=2a
a=-1/2
put in (4)
c=2+a
c=2-(1/2)
c=4-1/2
c=3/2
put in (2)
1=c-b
1=(3/2)-b
1-(3/2)=b
2-3/2=b
1/2=b
a=-1/2
b=1/2
c=3/2
c+1/x=1
(3/2)+1/x=1
3/2=1-(1/x)
3/2=x-1/x
3/2=x-1/x
3x=2x-2
3x-2x=-2
x=-2
I hope this is correct and it is useful for you