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!!

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 !!!

1. Is it possible to inform me on how these solutions are so obvious?

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

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