Complex Numbers and Elementary Functions Solve for the roots of the following eq

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Complex Numbers and Elementary Functions Solve for the roots of the following equations: z3 = 4 z4 = -l (az + b)3 = c, where a, b, c >0 z4 + 2z2+2 = 0 Establish the following results: There is a partial correspondence between complex numbers and vectors in the plane. Denote a complex number z = a + bi and a vector v = a 1 +b 2, where 1 and 2 are unit vectors in the horizontal and vertical directions. Show that the laws of addition z1 plusminus z2 and v1, plusminus v2 yield equivalent results as do the magnitudes |z|2, |v|2 = v v. (Here v v is the usual vector dot product.) Explain why there is no general correspondence for laws of multiplication or division.

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