2) And all I he mots + the following complex numbers in rectoanegu lan aordinate

Question

2) And all I he mots + the following complex numbers in rectoanegu lan aordinates (a) -16) '4 (6) (-8 - 813 i4 2) a) Let a denole amy fixed real number. Svou mat- the duo square roots + a +i ame + VA exp (ix) -uhu A= and d = arg (a+i) d Pe m000 me (d-ener (osº(*) = 1+cosa ). S» () = (- Copa Show that the square roots ostaudel Put(a) Can be mitten + L(A+a + i SA-a). be mitten 2 3) Find he rwH JE Z +4 =0 amd me dhem dhe factor z+4 luto quad rahe factort sulh real creffsetente. 4) Describe the domen of defen i Hon of the hilauung (a) fez) = 2 (G) z) = L 1-1212 Z+Z Sketen he doma ng

Explanation / Answer

a) 4th roots of -16 are sqrt(2)(1+i), sqrt(2)(1-i), -sqrt(2)(1+i), -sqrt(2)(1-i).

b) 4th roots of -8-8sqrt(3)i are sqrt(3)-i, sqrt(3)+i, -sqrt(3)+i, -sqrt(3)-i.

Due to technical issue, I could not upload full solution.

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