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10/29/2023 · High School

Find all complex number solutions to the equation. \( x^{3}-512=0 \) Choose the correct solution set below. A. \( \left\{4\left(\cos 0^{\circ}+i \sin 0^{\circ}\right), 4\left(\cos 120^{\circ}+i \sin 120^{\circ}\right), 4\left(\cos 240^{\circ}+i \sin 240^{\circ}\right)\right\} \) B. \( \left\{8\left(\cos 0^{\circ}+i \sin 0^{\circ}\right), 8\left(\cos 120^{\circ}+i \sin 120^{\circ}\right), 8\left(\cos 240^{\circ}+i \sin 240^{\circ}\right)\right\} \) C. \( \left\{4\left(\cos 60^{\circ}+i \sin 60^{\circ}\right), 4\left(\cos 180^{\circ}+i \sin 180^{\circ}\right), 4\left(\cos 300^{\circ}+i \sin 300^{\circ}\right)\right\} \) D. \( \left\{8\left(\cos 60^{\circ}+i \sin 60^{\circ}\right), 8\left(\cos 180^{\circ}+i \sin 180^{\circ}\right), 8\left(\cos 300^{\circ}+i \sin 300^{\circ}\right)\right\} \)