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Ishaan94
Group Title
Find all the integral solutions of the equation \(8y + 11x + 17 =xy\).
 2 years ago
 2 years ago
Ishaan94 Group Title
Find all the integral solutions of the equation \(8y + 11x + 17 =xy\).
 2 years ago
 2 years ago

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estudier Group TitleBest ResponseYou've already chosen the best response.2
K, so what's y?
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.2
(11x + 17) / (x8) = y , right? Dunno if this is any good or not...
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.2
Need to break that up somehow....
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.2
11 + 105/(x8)
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.2
So 105/(x8) must be integer......
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.2
Exhaustion/look for a pattern takes care of that, I think...
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
105 = 5*7*3*1. So, 8 integral solutions? Am I doing it right?
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.2
It's x we want....
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
5*7. 2 more. 5*3. 2 more. 7*3. 2 more. and 105 itself. 2 more integral solutions. I mean x8 could be \(\pm5,7,3,1,5*7,5*3,105,7*3\), Right?
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.2
Ther u go....
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.2
Then the y's
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
Thanks. :) Don't worry, I don't need the y's. I only need to show the total number of solutions are 16.
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
In the actual question, that is.
 2 years ago
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