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Lecture 25

MTH 141 Lecture 25: MTH141-sec9.1
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Department
Mathematics
Course
MTH 141
Professor
Majed Alqasas
Semester
Fall

Description
1 Complex Numbers. solve the equation, x -2 G-o 2 o 2 Complex numben tom. A Camp number is anumber in such y R and -5 i ave Complese number. /rn a Gina 2 t 3 Addihn and subtracten Cavyolex number Compute 2, 12- and 2, -2.. 3 L 2, 2 1 Complex Numbers. solve the equation, x -2 G-o 2 o 2 Complex numben tom. A Camp number is anumber in such y R and -5 i ave Complese number. /rn a Gina 2 t 3 Addihn and subtracten Cavyolex number Compute 2, 12- and 2, -2.. 3 L 2, 2(5) Complex Canjuaah とク"X-yi' 2-3-5 (. 2: 3 +51' Z--Z-S(·ヲ w 3 tst' wlsion 연 Gw Plek numbers (x+y ex nunnbin 4 y, 보.. 보ee-x-7-Su-e y-20(Letset-y-21(-5 26 Roots d Pol)"ornial obu an, anが一 a,, ao CR, 財2 n aCo叩ax ved孑 pcx), tL, thCo"j"Jah 영Zi2aa her rad d P(x) 영z; 2 is another rat Prx) sau, th equatove Tr find th rom t PCR) P(x) = "X3+1 X tla。 x--I ( 5 ) Complex Canjuaah と ク " X - yi ' 2-3-5 ( . 2 : 3 +51 ' Z -- Z - S ( · ヲ w 3 tst ' wlsion 연 Gw Plek numbers ( x + y ex nunnbin 4 y , 보 .. 보 ee - x - 7 - Su - e y - 20 ( Letset - y - 21 ( -5 26 Roots d Pol ) " ornial obu an , an が 一 a ,, ao CR , 財 2 n aCo 叩 ax ved 孑 pcx ) , tL , thCo " j " Jah 영 Zi2aa her rad d P ( x ) 영 z ; 2 is another rat Prx ) sau , th equatove Tr find th rom t PCR ) P ( x ) = " X3 + 1 X tla 。 x -- IThe Complex Plane Set al Complex numbers denoted Compts numbers 2 X yi Can be Pothed xy plane. Paar (x,y). Example, Plot Chrplex numbe 2 (2, 2.f3 3 2 2 L (2, -1) Polar form omplex num Can be repre sen ted Polar follows let 2 xtyr he Caples numb modulus 2 Consider xy Plane repusten hon 1 2.x y,. let 6 he any that r mates situ x-ax Cose X. Also argument olar represen The Complex Plane Set al Complex numbers denoted Compts numbers 2 X yi Can be Pothed xy plane. Paar (x,y). Example, Plot Chrplex numbe 2 (2, 2.f3 3 2 2 L (2, -1) Polar form omplex num Can be repre sen ted Polar follows let 2 xtyr he Caples numb modulus 2 Consider xy Plane repusten hon 1 2.x y,. let 6 he any that r mates situ x-ax Cose X. Also argument olar represena 'Deter rnwu th modulus , th argument, and th Pler fam-1 z J3 ti . Whet do Joa think is th Podulus and ar)"med 붐 .21 > ti. Produlus and Or)"med丬垔? 2-V3+L :08.1). x /2)-J3+\-w,) = r r, - 〉/6-푯 2:3-c,G.-1) 2-2(Core) tcSi( ) ⑧Lef 2,=x,t%i' >A-凡%" hau Alo-xp -esewith Swel, flu 2\"r, (Cos G.tisin G.) and 르ー ー長(c.,(a, _ a)-e'sm (9,-A)) 7,1ニ丄A ㅗ ( Co» (-6.) f esia(-6.) ) CL Ca/calak (( 2-2 i) (-Wic21 using Plav,Cnn. GX: Calculak ((2-2.)(-{+Gi) using Plavkmn CMP.) (2-2ヅ1 aud (-1 +39" (2.21' 24 + ) Case-:今e22Lニi/i y6--T Xix 긁 ︶ N a ' Deter rnwu th modulus , th argument , and th Pler fam - 1 z J3 ti . Whet do Joa think is th Podulus and ar ) " med 붐 .21 > ti . Produlus and Or ) " med 丬 垔 ? 2 - V3 + L : 08.1 ) . x / 2 ) -J3 + \ - w , ) = r r , -
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