What is the circumcenter of this triangle?

Question

The vertices are M(-4, 0) N(0,5) O(10,-3)

I have an answer already, but I'm looking to verify it.

Answer 1

Let (x,y) are the coordinates of the circumcenter.

Next 2 equations express that the distances of the circumcenter from points M, N and O are equal:

(x+4)² + y² = x² + (y-5)² = (x-10)² + (y+3)²

Solution is (x,y) = (3, -1.5)
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