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Discussion Response Post to:
A problem on progressions..................................
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Author
Message
7 May 2007 19:56:05 IST
Subject:
Re:A problem on progressions..................................
Avinash_Bhat
(
615
)
Blazing goIITian
101
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total posts:
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(a
2
+ b
2
)p
2
- 2(ab + bc)p + (b
2
+ c
2
) <= 0
(a
2
p
2
- 2abp + b
2
) + (b
2
p
2
- 2bcp + c
2
) <= 0
(ap - b)
2
+ (bp - c)
2
<= 0
SO : (ap - b) = 0 and (bp - c) = 0
=> p = b/a and p = c/b
a/b = b/c => a,b,c in G.P.
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