Posted by **Kerry** on Monday, September 23, 2013 at 10:06pm.

4) The roots of the equation z^2+2z+4=0 are denoted by α and β.

a) find α and β in the form re^iθ, giving the values of r and θ

b) Using de Moivre's Theorem, show that α^3=β^3.

c) find the exact value of αβ*+α*β

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