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Algebra

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6 Sep 2008 11:02:43 IST

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Calling all 10th graders

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If a,b and c are integers such that a+b+c = 0 prove that 2(a⁴+b⁴+c⁴) is a perfect square.

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Rahul Duggal

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Joined: 10 May 2008

Posts: 289

6 Sep 2008 12:10:09 IST

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Calling all 10th graders

Hari Shankar

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Posts: 2173

6 Sep 2008 12:26:45 IST

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Good work. There are more approaches. So, others are also welcome to post

Pratik Makune.

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Joined: 18 Apr 2008

Posts: 42

14 Oct 2008 12:53:50 IST

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@ Mr. Bhatt sir, can we solve the same problem by binomial theorem.. only by proving separately LHS n RHS? then is that will b d correct answr? thnx

Hari Shankar

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Joined: 28 Feb 2007

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14 Oct 2008 12:58:06 IST

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If you could show us the working, it would be good. I havent tried by use of Binomial Theorem. So, i will be happy to see a different approach.

Dipanjan

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Joined: 30 Jul 2008

Posts: 335

14 Oct 2008 13:21:54 IST

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