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Find the value of ...... (Posted on 2006-05-14) Difficulty: 3 of 5
If a + b + c = 0, then find the value of

[(bc)/a + (ca)/b + (ab)/c].[a/(bc) + b/(ca) + c/(ab)]

No Solution Yet Submitted by Ravi Raja    
Rating: 4.0000 (1 votes)

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Solution re: The Process (solution from without) | Comment 2 of 6 |
(In reply to The Process by K Sengupta)

(To state that a, b and c are not equal still allows a condition such as a=1, b=1 and c=5 which will also result in an undefined solution), thus the following must be true in order to find a solution: 

(a <> b) AND (a <> c) AND (b <> c) AND
(a <> 0) AND (b <> 0) AND (c <> 0)

By inspection and simple substitution where a+b+c=0

[(bc)/a + (ca)/b + (ab)/c].[a/(bc) + b/(ca) + c/(ab)] = 9


  Posted by Dej Mar on 2006-05-14 16:02:41
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