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Find All Solutions of the Equation x3+8i=0x ^ { 3 } + 8 i = 0

Question 355

Multiple Choice

Find all solutions of the equation. Leave answers in trigonometric form.
- x3+8i=0x ^ { 3 } + 8 i = 0


A) {2cis270,2\left\{ 2 \operatorname { cis } 270 ^ { \circ } , 2 \right. cis 210,2cis150}\left. 210 ^ { \circ } , 2 \operatorname { cis } 150 ^ { \circ } \right\}
B) {2cis90,2\left\{ 2 \operatorname { cis } 90 ^ { \circ } , 2 \right. cis 210,2210 ^ { \circ } , 2 cis 330}\left. 330 ^ { \circ } \right\}
C) {2cis270,2\left\{ 2 \operatorname { cis } 270 ^ { \circ } , 2 \right. cis 30,230 ^ { \circ } , 2 cis 150}\left. 150 ^ { \circ } \right\}
D) {2cis90,2\left\{ 2 \operatorname { cis } 90 ^ { \circ } , 2 \right. cis 150,2150 ^ { \circ } , 2 cis 30}\left. 30 ^ { \circ } \right\}

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