Asked by Josh
find all solutions of the equation
1. x^3+27=0
2. x^3-8=0
1. x^3+27=0
2. x^3-8=0
Answers
Answered by
Damon
27+0 i = 27 e^i(0) = 27 cos 0 + i sin 0
27^(1/3)=3e^0 or 3e^i(2pi/3) or 3e^(4 pi/3)
= 3
or
= 3 cos 120 + 2i sin 120
= -1.5 + i sqrt 3
or
= -1.5 - i sqrt 3
27^(1/3)=3e^0 or 3e^i(2pi/3) or 3e^(4 pi/3)
= 3
or
= 3 cos 120 + 2i sin 120
= -1.5 + i sqrt 3
or
= -1.5 - i sqrt 3
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