2008 AMC 12A Problem 23


The solutions of the equation z4+4z3i6z24zii=0z^4+4z^3i-6z^2-4zi-i=0 are the vertices of a convex polygon in the complex plane. What is the area of the polygon?

(A) 258(B) 234(C) 2(D) 254(E) 232\mathrm{(A)}\ 2^{\frac{5}{8}}\qquad\mathrm{(B)}\ 2^{\frac{3}{4}}\qquad\mathrm{(C)}\ 2\qquad\mathrm{(D)}\ 2^{\frac{5}{4}}\qquad\mathrm{(E)}\ 2^{\frac{3}{2}}


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

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Category: AMC 12A
Points: 5
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