Unformatted text preview: i ) 24(4 + 3 i ) =86 i. Hence by part (i) we can take d = 13 i . Consequently z = 3 + i ± (13 i ) 2 = 2i or 1 + 2 i. (i) The number lies in the Frst quadrant of the complex plane.  4 + i  = p 4 2 + 1 2 = √ 17 . Also Arg(4 + i ) = α , where tan α = 1 / 4 and 0 < α < π/ 2. Hence α = tan1 (1 / 4).¾ 6 ? x y 4 + i α » » » » : 55...
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 Fall '10
 Dreibelbis
 Complex number, Complex Plane, ﬁrst quadrant

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