Portia solved the quadratic equation x^2 + 2*sqrt(2)*x + 1 = 0 by completing the square. In the process, she came up with the equivalent equation
(x + r)^2 = s,
where r and s are constants. What is s?
Rearrange as
x^2 + 2sqrt (2)x = -1
Take 1/2 of 2sqrt 2 = sqrt 2.......square this = 2 ....add to both sides
x^2 + 2sqrt (2) x + 2 = - 1 + 2
( x + sqrt (2) ) ^2 = 1
s = 1
