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Find All Solutions to the Following Equation x3−216=0x ^ { 3 } - 216 = 0

Question 91

Multiple Choice

Find all solutions to the following equation. x3−216=0x ^ { 3 } - 216 = 0


A) ​ x=6,6+6i3,6−6i3x = 6,6 + 6 i \sqrt { 3 } , 6 - 6 i \sqrt { 3 }
B) x=6,3−3i3,−3−3i3x = 6,3 - 3 i \sqrt { 3 } , - 3 - 3 i \sqrt { 3 }
C) ​ x=6,−3−3i3,−3+3i3x = 6 , - 3 - 3 i \sqrt { 3 } , - 3 + 3 i \sqrt { 3 } ​
D) x=−6ix = - 6 i
E) x=−6x = - 6

Correct Answer:

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