# Math Help - Find the point(s) on the surface z^2 = xy + 1 which are closest to the point (7, 5, 0

1. ## Find the point(s) on the surface z^2 = xy + 1 which are closest to the point (7, 5, 0

Find the point(s) on the surface which are closest to the point (7, 5, 0).

List points as a comma-separated list, (e.g., (1,1,-1), (2, 0, -1), (2,0, 3)).

2. Originally Posted by ewkimchi
Find the point(s) on the surface which are closest to the point (7, 5, 0).

List points as a comma-separated list, (e.g., (1,1,-1), (2, 0, -1), (2,0, 3)).
Minimise $D^2 = (x - 7)^2 + (y - 5)^2 + z^2$ subject to the constraint $z^2 = xy + 1$.

Please show your work and say where you get stuck if you need more help.