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Find All Solutions of the Equation x5243=0x ^ { 5 } - 243 = 0

Question 286

Multiple Choice

Find all solutions of the equation. Leave answers in trigonometric form.
- x5243=0x ^ { 5 } - 243 = 0


A) {3,3}\{ 3 , - 3 \}
B) {3cis0,3cis2π5,3cis4π5,3cis6π5,3cis8π5}\left\{ 3 \operatorname { cis } 0,3 \operatorname { cis } \frac { 2 \pi } { 5 } , 3 \operatorname { cis } \frac { 4 \pi } { 5 } , 3 \operatorname { cis } \frac { 6 \pi } { 5 } , 3 \operatorname { cis } \frac { 8 \pi } { 5 } \right\}
C) {243cis0,243cis2π5,243cis4π5,243cis6π5,243cis8π5}\left\{ 243 \operatorname { cis } 0,243 \operatorname { cis } \frac { 2 \pi } { 5 } , 243 \operatorname { cis } \frac { 4 \pi } { 5 } , 243 \operatorname { cis } \frac { 6 \pi } { 5 } , 243 \operatorname { cis } \frac { 8 \pi } { 5 } \right\}
D) {3cisπ5,3cis3π5,3\left\{ 3 \operatorname { cis } \frac { \pi } { 5 } , 3 \operatorname { cis } \frac { 3 \pi } { 5 } , 3 \right. cis π,3\pi , 3 cis 7π5,3\frac { 7 \pi } { 5 } , 3 cis 9π5}\left. \frac { 9 \pi } { 5 } \right\}

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