Compute the largest value of x that satisfies x^2 -10x + y^2 - 8y = 8
Solving for x using the quadratic formula, we get that the largest possible value of x is 15.
"Compute the largest value of x that satisfies x^2 -10x + y^2 - 8y = 8"
This can be rewritten as (x - 5)2 + (y - 4)2 = 72
This is the equation of a circle of radius 7, centred on the point (5,4), so the largest value of x is 5 + 7 = 12.
