The quadratic x^2-20x+36 can be written in the form (x+b)^2+c where b and c are constants. What is b+c

Thanks for the help guys (and gals)!

AnonymousConfusedGuy
Oct 22, 2017

#1**+1 **

"*The quadratic x^2-20x+36 can be written in the form (x+b)^2+c where b and c are constants. What is b+c*"

Expand (x+b)^2 + c → x^2 + 2bx + b^2 + c

Compare with x^2 - 20x + 36

Coefficient of x term: 2b = -20 hence b = -10

Constant term: b^2 + c = 36, (-10)^2 + c = 36, 100 + c = 36, c = -64

b + c = -74

Alan
Oct 22, 2017