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Solve the following equation

$\large x^4 + x^3+ x^2 + x + 1 = 0$

The answer is of the form $\large \frac {A ± \sqrt{B} ± i\sqrt{C ± D\sqrt{E}}}{F}$

Input your answer as $A + B + C + D + E + F$.

A-level Mathematics Questions Megathread

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