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1. Determine the integer solution pairs of the following DE: \(x^2+y^2=x^3\)

 

2. Determine the positive integer solution (a, b, c) of the following DE

    \(ab+bc=44 \)

    \(ac+bc=23 \)

 

Thanks so much!! 

 Dec 9, 2018
edited by yasbib555  Dec 9, 2018
 #1
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1)

 The only obvious solutions are:

x = 0   and   y = 0, and:

x = 2   and   y = 2

 

2) You have 4 letters a, b, c, d instead of just 3, a, b, c !!!

 Dec 9, 2018
 #3
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1. Is it possible to inform me on how these solutions are so obvious? 

2. My bad, I'm sorry, I fixed it though 

yasbib555  Dec 9, 2018
 #2
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1)

 

x^2 + y^2=x^3
5^2 + 10^2=5^3
10^2  + 30^2 =10^3

 Dec 9, 2018

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