MathDB
Know your Cubes?

Source:

March 9, 2006
geometry3D geometry

Problem Statement

If the sum of two numbers is 1 and their product is 1, then the sum of their cubes is: (A) 2(B) −2−3i34(C) 0(D) −3i34(E) −2\text{(A)} \ 2 \qquad \text{(B)} \ -2-\frac{3i\sqrt{3}}{4} \qquad \text{(C)} \ 0 \qquad \text{(D)} \ -\frac{3i\sqrt{3}}{4} \qquad \text{(E)} \ -2
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