Portia solved the quadratic equation x2+(2√3)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!