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
Take (1/2) of 5 = 5/2 ,,,,,square it = 25/4 ......add and subtract it
x^2 - 5x + 25/4 + 1 - 25/4 factor the first three terms and simplify
(x - 5/2)^2 - 21/4
b + c = -5/2 - 21/4 = -10/4 - 21/4 = -31/4
