Find the indicated roots and graph them in the complex plane. The fifth roots of 243 W₁ = W₂ = O W3 = Ws W3 Im Im Re exte 2 W₂ 2 Wo Wo Referring to the labels from the graph you selected above, give the exact roots. Wo= 4 Re 2 Im Ws 7 Im WA Wo 4 Re Re

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the indicated roots and graph them in the complex plane.
The fifth roots of 243
wo =
W₁ =
W₂ =
W3 =
WA
-4
=
O
-4
W₂
W2
W3
-2
-2
W₁
W₂
Im
-1
Im
-i
W₁
W₁
2
2
Wo
W4
Wo
4
4
Re
Re
Referring to the labels from the graph you selected above, give the exact roots.
-4
O
-4
●
W₂
W₂
Wie
-2
-2
W3
Im
i
-il
W3
Im
W₁
Wo
2
2
●
WA
WA
Wo
4
4
Re
Re
Transcribed Image Text:Find the indicated roots and graph them in the complex plane. The fifth roots of 243 wo = W₁ = W₂ = W3 = WA -4 = O -4 W₂ W2 W3 -2 -2 W₁ W₂ Im -1 Im -i W₁ W₁ 2 2 Wo W4 Wo 4 4 Re Re Referring to the labels from the graph you selected above, give the exact roots. -4 O -4 ● W₂ W₂ Wie -2 -2 W3 Im i -il W3 Im W₁ Wo 2 2 ● WA WA Wo 4 4 Re Re
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