find (a,b)

For discussing Olympiad Level Number Theory problems
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Tahmid Hasan
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Re: find (a,b)

Unread post by Tahmid Hasan » Tue Feb 01, 2011 11:24 pm

i know but i'm working on the rest
বড় ভালবাসি তোমায়,মা

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Masum
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Re: find (a,b)

Unread post by Masum » Sat Feb 05, 2011 3:03 am

There is a problem,$4ab-1,$not $2ab-1$
One one thing is neutral in the universe, that is $0$.

faisalnir
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Re: find (a,b)

Unread post by faisalnir » Sun Feb 06, 2011 3:02 am

$$2ab-1$$ hbe......oitato IMO-07 ER MATH

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Masum
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Re: find (a,b)

Unread post by Masum » Sun Feb 27, 2011 12:53 pm

Hasib wrote:$4a^2-1$ is odd number, so $(4a^2-1)^2$ is odd number. It gives 2 divides an odd number. Impossible. :) :) no solution for $(a,b)$ :)
Obviously false argument since there was $2ab-1,$odd not $2ab,$ even
And what Moon meant is here:
Attachments
tr09taltvieta.pdf
This pdf deals with the tactic of Vietta Jumping,a very important topic for solving some special type of problems in Number Theory.So read this carefully and ensure you have understood it
(85.33KiB)Downloaded 200 times
One one thing is neutral in the universe, that is $0$.

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