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Find all ordered values integers $$x,y,z$$ such that $$xy+yz+zx=xyz+2$$ Please post the solutions too!

Note by Siddharth G
3 years, 3 months ago

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Wait, Is Bhaskara contest held in Delhi too? W.R.T Solutions- sorry, I dont think I have solved it fully but what came to my mind as soon as i saw this is - factor. Like if you see $$(x+1)(y+1)(z+1)$$ you will get most of the terms which are there in the question. Ill work on it and tell you. Are you taking up the test tomo'w? Well- A small change- The signs must be reversed with the 1's!

- 3 years, 3 months ago

Yes, it takes place in Delhi too. However, in not held on such a vast scale as in TN. According to me a better form of factorization is $$(x-1)(y-1)(z-1)$$. And I am giving NMTC today.

- 3 years, 3 months ago

Yes. Sorry that I messed up the signs! I did want to change it but I fell asleep as I was on the bed while typing :P. Post your score too on the discussion I (plan to) start today after NMTC on Brilliant!

- 3 years, 3 months ago