1. α and β are the roots of the equation x^2+ax+b=0 , where a, b are real constants.
a)find, in terms of a and b, the value of
i)α^3+β^3
ii)(α-β^2+1)(β-α^2+1)
b)Hence, or otherwise, find the condition that one root of the equation plus 1 is equal to the square of the other.