Portia solved the quadratic equation \(x^2+(2\sqrt3)x+1=0\) by completing the square. In the process, she came up with the equivalent equation \((x+r)^2 = s,\) where \(r\) \(s\) and are constants. What is \(s\)?
x^2 + 2sqrt(3)x + 1 = 0
x^2 + 2sqrt(3)x = - 1
Take (1/2) of 2sqrt(3) = sqrt(3)....square this = 3 add to both sides
x^2 + 2sqrt(3)x + 3 = -1 + 3 simpify and factor
(x + sqrt(3) )^2 = 2
r = sqrt(3), s = 2
Where is says " r s and are constants", it's actually " r and s are constants
Thanks so much!