1. solve the following simultaneous equations, leaving your answers in surd form:

(x+yroot2)^2 = 27 + 12root2 and y = 2x

2. (x-A) is a factor of f(x) where f(x) - x^3 + x^2 - x + A

a) calculate the possible values of A

b) Given that A<0 solve the equation f(x) = 0