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Find All Solutions of the Equation x4+16=0x ^ { 4 } + 16 = 0

Question 145

Multiple Choice

Find all solutions of the equation. Leave answers in trigonometric form.
- x4+16=0x ^ { 4 } + 16 = 0


A) {2cis45,2cis315,2\left\{ 2 \operatorname { cis } 45 ^ { \circ } , 2 \operatorname { cis } 315 ^ { \circ } , 2 \right. cis 135,2135 ^ { \circ } , 2 cis 225}\left. 225 ^ { \circ } \right\}
B) {3cis26.565,3cis333.435,3cis153.435,3cis206.565}\left\{ \sqrt { 3 } \operatorname { cis } 26.565 ^ { \circ } , \sqrt { 3 } \operatorname { cis } 333.435 ^ { \circ } , \sqrt { 3 } \operatorname { cis } 153.435 ^ { \circ } , \sqrt { 3 } \operatorname { cis } 206.565 ^ { \circ } \right\}
C) {16cis45,16cis315,16\left\{ 16 \operatorname { cis } 45 ^ { \circ } , 16 \operatorname { cis } 315 ^ { \circ } , 16 \right. cis 135,16135 ^ { \circ } , 16 cis 225}\left. 225 ^ { \circ } \right\}
D) {2cis45,2cis315,2cis135,2cis225}\left\{ \sqrt { 2 } \operatorname { cis } 45 ^ { \circ } , \sqrt { 2 } \operatorname { cis } 315 ^ { \circ } , \sqrt { 2 } \operatorname { cis } 135 ^ { \circ } , \sqrt { 2 } \operatorname { cis } 225 ^ { \circ } \right\}

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