The quadratic x^2-5x+1 can be written in the form (x+b)^2+c, where b and c are constants. What is b+c?
x^2 + 5x + 1 complete the square on x
x^2 + 5x + 25/4 +1 - 25/4 =
(x + 5/2)^2 + 4/4 - 25/4
(x + 5/2)^2 - 21/4
b + c = 5/2 - 21/4 = 10/4 - 21/4 = -11 / 4