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Algebra

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Joined:	28 Feb 2007
Post:	2173

10 Jul 2008 18:53:51 IST

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Find the value

None

If a,b, and c are complex numbers such that

$\frac{a^2}{b+c} + \frac{b^2}{c+a} + \frac{c^2}{a+b} = 0$

then find all possible values of

$\frac{a}{b+c} + \frac{b}{c+a} + \frac{c}{a+b}$

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Comments (3)

abhishek sinha

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Joined: 18 Dec 2007

Posts: 926

10 Jul 2008 19:39:30 IST

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ans -3 , 1

proof : =0

so either a+b+c = 0 inthat case the sought qty = -3 ( obtained by putting b+ c =-a , c+a=-b,a+b=-c in the Dr. )

otherwise the sought qty = 1

It is a very simple eightth grade qn.

Hari Shankar

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Joined: 28 Feb 2007

Posts: 2173

11 Jul 2008 09:09:08 IST

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shud have mentioned that! commendable effort though

Hari Shankar

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Joined: 28 Feb 2007

Posts: 2173

11 Jul 2008 09:10:16 IST

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by the way guys, this is not the forum for experts to solve problems. They are posed for iit aspirants to solve. So, show some interest friends!

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