The equation \(x^2 + y^2 + 10x - 8y = 59\) can be written in the form \((x - h)^2 + (y - k)^2 = r^2\), where \(h, k\), and \(r\) are integers. Find the value of \(r^2\).
x^2 + 10x + y^2 - 8y = 59 complete the square on x, y
x^2 + 10x + 25 + y^2 - 8y + 16 = 59 + 25 + 16
(x + 5)^2 + ( y - 4)^2 = 100
r^2 = 100
+311 
