So a computer cannot solve it, because of lack of intelligence? Can't it approach it at least?
Let's have two points with coordinates (x1, y1), (xk, yk), and let (xk, yk) = k * (x1, y1).
Then
k
2 ≈ x1/xk
k
2 ≈ x1/xk * (1 - (k
6 - 1) / y1
2) = x1/xk * (1 - (k
6 - 1) / (x1
3 + 7) )
and so on...