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How many perfect squares (
Posted on 20060425
)
Suppose a and b are positive integers. We all know that aČ+2ab+bČ is a perfect square. Give an example where also aČ+ab+bČ is a perfect square. How many such examples exist?
Submitted by
Salil
Rating:
3.0000
(2 votes)
Solution:
(
Hide
)
K Sengupta's solution explains it completely. Even better than the way I had planned.
Comments: (
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Subject
Author
Date
re(3): Complete Solution
Samantha
20060428 12:23:16
re(3): Complete Solution
K Sengupta
20060428 10:53:51
re(2): Complete Solution
K Sengupta
20060428 10:42:23
re: Complete Solution
Salil
20060428 06:57:12
Complete Solution
K Sengupta
20060427 22:44:08
No Subject
tomarken
20060426 15:34:41
re(2): Adding to the solution...even numbers!
tomarken
20060426 12:58:02
re: Adding to the solution...even numbers!
tomarken
20060426 12:21:18
Adding to the solution...
tomarken
20060426 10:03:03
Great
Salil
20060425 20:53:26
re(4): Partial Solution
Dej Mar
20060425 12:26:43
re(5): Partial Solution
tomarken
20060425 11:40:02
re(4): Partial Solution
Charlie
20060425 11:16:22
re(4): Partial Solution
tomarken
20060425 11:08:12
re(3): Partial Solution
Charlie
20060425 11:03:53
re(2): Partial Solution
tomarken
20060425 10:08:34
re(2): Partial Solution
Charlie
20060425 10:05:05
re: Partial Solution
Charlie
20060425 09:54:50
Partial Solution
tomarken
20060425 09:38:18
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