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Algebra

Cool goIITian

Joined:	15 Jul 2007
Post:	75

28 Dec 2007 16:22:16 IST

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379

internatinal math olympiad

None

if a+(1/b)=b+(1/c)=c+1/a=t

prove that abc+t=0

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Comments (3)

dont u know me

Blazing goIITian

Joined: 5 Dec 2007

Posts: 704

29 Dec 2007 13:31:20 IST

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its simpl yaar 1stly a+1/b=t

ab+1 = bt ; bc+1=ct; ac+1 =at

[ab+1]c=[bc+1]b
abc+c= cb^2 +b ; bc[a-b]=b-c
a-b = [b-c]/bc
t[a-b] =a[c-b]
t[b-c]/bc =a[c-b]
t=-abc
hence abc+t=0 rate me if im rite

Learner .

Blazing goIITian

Joined: 5 Nov 2007

Posts: 507

29 Dec 2007 16:37:11 IST

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Could you pl explain how to get

t[a-b]=a[c-b]

from a-b =[b-c]/bc

Thanks!!

dont u know me

Blazing goIITian

Joined: 5 Dec 2007

Posts: 704

29 Dec 2007 23:15:07 IST

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aree yaar its nothing but solving d given equations so as 2 get d relation btw a,b-c so dat v cud sub d obtnd values in it do u understand ? if s den rate me

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