# Complex Roots

Algebra Level 3

If $$\alpha$$ and $$\beta$$ are the roots of $$(x-\sqrt{2003})(x-\sqrt{2002}) = \sqrt{2004}$$, the the roots of the equation $$(x- \alpha)(x- \beta) = -\sqrt{2004}$$ are:

(A) $$\sqrt{2003} , \sqrt{2002}$$.
(B) $$\sqrt{2002} , \sqrt{2004}$$.
(C) $$\sqrt{2003-\alpha} , \sqrt{2002-\beta}$$.
(D) $$\sqrt{2003} + \sqrt{2002} , \sqrt{2003} - \sqrt{2002}$$.

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