Question

Real numbers $x$ and $y$ satisfy the equation $x^2 + y^2 = 10x - 6y - 34$. What is $x+y$?

Answer 1

2

Explanation:

The equation can be rewritten as ...

... (x -5)² + (y +3)² = 0 . . . . . . a circle of radius 0 centered at (5, -3)

This is the equation of the point (5, -3). So, ...

... x + y = 5 - 3 = 2