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

Question 308

Multiple Choice

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


A) {3,3}\{ 3 , - 3 \}

B) {3cisπ5,3cis3π5,3cisπ,3cis7π5,3cis9π5}\left\{ 3 \operatorname { cis } \frac { \pi } { 5 } , 3 \operatorname { cis } \frac { 3 \pi } { 5 } , 3 \operatorname { cis } \pi , 3 \operatorname { cis } \frac { 7 \pi } { 5 } , 3 \operatorname { cis } \frac { 9 \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) {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\}

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