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Algebra

by harsh.champ » Thu Feb 04, 2010 3:20 am
Consider a pair (x,y) of natural numbers satisfying x + y2 + g3 = xyg, where g is the greatest common divisor of x and y .Then , how many such pairs are possible?

(1)2
(2)3
(3)4
(4)5
(5)6
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by neelimareddym » Thu Feb 04, 2010 4:14 am
What's the answer?
I got 2 pairs.. (4,6),(3,5).
Is there any easier way to solve this question otehr than hit and trial
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by harsh.champ » Thu Feb 04, 2010 6:22 am
neelimareddym wrote:What's the answer?
I got 2 pairs.. (4,6),(3,5).
Is there any easier way to solve this question otehr than hit and trial
_______________
I have the same problem.
By using hit and trial , we can miss out on a answer.
Isn't there any formal technique??
Plus the common divisor thing(I get stuck up on divisibility questions--Seeking advice on techniques and strategies!!)

I am also getting 2 pairs :)
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