# Wolfram Alpha=Cheating

Algebra Level 5

$2z^{8}-3z^{7}-12z^{6}+12z^{5}+22z^{4}-12z^{3}-12z^{2}+3z+2=0$

Two of the roots of the equation above can be written in the form $$\frac{-A \pm \sqrt{B}}{C}$$ while another two in the form $$\frac{-A \pm \sqrt{D}}{E}$$, where $$A,B,C,D,E$$ are distinct positive integers with $$B$$ and $$D$$ squarefree. Find $$A+B+C+D+E$$.

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