x2 t01 02 complex equations (2011)
TRANSCRIPT
![Page 1: X2 T01 02 complex equations (2011)](https://reader033.vdocuments.site/reader033/viewer/2022060123/559751381a28ab75448b4691/html5/thumbnails/1.jpg)
Complex Equations
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Complex EquationsIf two complex numbers are equal, then their real parts are equal and their imaginary parts are equal
![Page 3: X2 T01 02 complex equations (2011)](https://reader033.vdocuments.site/reader033/viewer/2022060123/559751381a28ab75448b4691/html5/thumbnails/3.jpg)
Complex EquationsIf two complex numbers are equal, then their real parts are equal and their imaginary parts are equal
ibaibaei 2211If ..
![Page 4: X2 T01 02 complex equations (2011)](https://reader033.vdocuments.site/reader033/viewer/2022060123/559751381a28ab75448b4691/html5/thumbnails/4.jpg)
Complex EquationsIf two complex numbers are equal, then their real parts are equal and their imaginary parts are equal
ibaibaei 2211If ..
21
21
then
bbaa
![Page 5: X2 T01 02 complex equations (2011)](https://reader033.vdocuments.site/reader033/viewer/2022060123/559751381a28ab75448b4691/html5/thumbnails/5.jpg)
Complex EquationsIf two complex numbers are equal, then their real parts are equal and their imaginary parts are equal
ibaibaei 2211If ..
iiiyxige 2432 ..
21
21
then
bbaa
![Page 6: X2 T01 02 complex equations (2011)](https://reader033.vdocuments.site/reader033/viewer/2022060123/559751381a28ab75448b4691/html5/thumbnails/6.jpg)
Complex EquationsIf two complex numbers are equal, then their real parts are equal and their imaginary parts are equal
ibaibaei 2211If ..
iiiyxige 2432 ..
21
21
then
bbaa
iii
81461248
![Page 7: X2 T01 02 complex equations (2011)](https://reader033.vdocuments.site/reader033/viewer/2022060123/559751381a28ab75448b4691/html5/thumbnails/7.jpg)
Complex EquationsIf two complex numbers are equal, then their real parts are equal and their imaginary parts are equal
ibaibaei 2211If ..
iiiyxige 2432 ..
21
21
then
bbaa
iii
81461248
8 , 14 yx
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iiwziiwz ii
432 342
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iiwziiwz ii
432 342
iiwziiwz
8624342
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iiwziiwz ii
432 342
iiwziiwz
8624342
iz
iz
35
32
52 3
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iiwziiwz ii
432 342
iiwziiwz
8624342
iz
iz
35
32
52 3
iiwi 34235
32
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iiwziiwz ii
432 342
iiwziiwz
8624342
iz
iz
35
32
52 3
iiwi 34235
32
iiw34
3102
![Page 13: X2 T01 02 complex equations (2011)](https://reader033.vdocuments.site/reader033/viewer/2022060123/559751381a28ab75448b4691/html5/thumbnails/13.jpg)
iiwziiwz ii
432 342
iiwziiwz
8624342
iz
iz
35
32
52 3
iiwi 34235
32
iiw34
3102
i
iw
35
32
64
610
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iiwziiwz ii
432 342
iiwziiwz
8624342
iz
iz
35
32
52 3
iiwi 34235
32
iiw34
3102
i
iw
35
32
64
610
iziw35
32 ,
35
32
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-ii iii 4and4 rootsith equation wquadratic theFind
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8 -ii iii 4and4 rootsith equation wquadratic theFind
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8 -ii iii 4and4 rootsith equation wquadratic theFind
17
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8 0178 isequation 2 xx
-ii iii 4and4 rootsith equation wquadratic theFind 17
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8 0178 isequation 2 xx
iibaiv 125
-ii iii 4and4 rootsith equation wquadratic theFind 17
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8 0178 isequation 2 xx
iibaiv 125
-ii iii 4and4 rootsith equation wquadratic theFind 17
iiba 1252
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8 0178 isequation 2 xx
iibaiv 125
-ii iii 4and4 rootsith equation wquadratic theFind 17
iiba 1252 ibabia 1252 22
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8 0178 isequation 2 xx
iibaiv 125
522 ba
-ii iii 4and4 rootsith equation wquadratic theFind 17
iiba 1252 ibabia 1252 22
![Page 23: X2 T01 02 complex equations (2011)](https://reader033.vdocuments.site/reader033/viewer/2022060123/559751381a28ab75448b4691/html5/thumbnails/23.jpg)
8 0178 isequation 2 xx
iibaiv 125
522 ba
-ii iii 4and4 rootsith equation wquadratic theFind 17
iiba 1252 ibabia 1252 22
122 ab
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8 0178 isequation 2 xx
iibaiv 125
522 ba
-ii iii 4and4 rootsith equation wquadratic theFind 17
iiba 1252 ibabia 1252 22
122 ab
ab 6
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8 0178 isequation 2 xx
iibaiv 125
522 ba
56 22
aa
-ii iii 4and4 rootsith equation wquadratic theFind 17
iiba 1252 ibabia 1252 22
122 ab
ab 6
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8 0178 isequation 2 xx
iibaiv 125
522 ba
56 22
aa
-ii iii 4and4 rootsith equation wquadratic theFind 17
iiba 1252 ibabia 1252 22
122 ab
ab 6
5362
2 a
a
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8 0178 isequation 2 xx
iibaiv 125
522 ba
56 22
aa
0365 24 aa
-ii iii 4and4 rootsith equation wquadratic theFind 17
iiba 1252 ibabia 1252 22
122 ab
ab 6
5362
2 a
a
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8 0178 isequation 2 xx
iibaiv 125
522 ba
56 22
aa
0365 24 aa 049 22 aa
-ii iii 4and4 rootsith equation wquadratic theFind 17
iiba 1252 ibabia 1252 22
122 ab
ab 6
5362
2 a
a
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8 0178 isequation 2 xx
iibaiv 125
522 ba
56 22
aa
0365 24 aa 049 22 aa
-ii iii 4and4 rootsith equation wquadratic theFind 17
iiba 1252 ibabia 1252 22
122 ab
ab 6
5362
2 a
a
4or 9 22 aa
![Page 30: X2 T01 02 complex equations (2011)](https://reader033.vdocuments.site/reader033/viewer/2022060123/559751381a28ab75448b4691/html5/thumbnails/30.jpg)
8 0178 isequation 2 xx
iibaiv 125
522 ba
56 22
aa
0365 24 aa 049 22 aa
23
ba
-ii iii 4and4 rootsith equation wquadratic theFind 17
iiba 1252 ibabia 1252 22
122 ab
ab 6
5362
2 a
a
4or 9 22 aa
![Page 31: X2 T01 02 complex equations (2011)](https://reader033.vdocuments.site/reader033/viewer/2022060123/559751381a28ab75448b4691/html5/thumbnails/31.jpg)
8 0178 isequation 2 xx
iibaiv 125
522 ba
56 22
aa
0365 24 aa 049 22 aa
23
ba solutionsreal no
-ii iii 4and4 rootsith equation wquadratic theFind 17
iiba 1252 ibabia 1252 22
122 ab
ab 6
5362
2 a
a
4or 9 22 aa
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8 0178 isequation 2 xx
iibaiv 125
522 ba
56 22
aa
0365 24 aa 049 22 aa
23
ba solutionsreal no
-ii iii 4and4 rootsith equation wquadratic theFind 17
iiba 1252 ibabia 1252 22
122 ab
ab 6
5362
2 a
a
4or 9 22 aa
2,3or 2,3 baba
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ibaiyx If
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ibaiyx If
yabxba
2then 22
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ibaiyx If
yabxba
2then 22
ie.g. 1612 Find
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ibaiyx If
yabxba
2then 22
ie.g. 1612 Find
1222 ba
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ibaiyx If
yabxba
2then 22
ie.g. 1612 Find
1222 ba 162 ab
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ibaiyx If
yabxba
2then 22
ie.g. 1612 Find
1222 ba 162 ab
ab 8
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ibaiyx If
yabxba
2then 22
ie.g. 1612 Find
1222 ba 162 ab
ab 81264
22
aa
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ibaiyx If
yabxba
2then 22
ie.g. 1612 Find
1222 ba 162 ab
ab 81264
22
aa
06412 24 aa
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ibaiyx If
yabxba
2then 22
ie.g. 1612 Find
1222 ba 162 ab
ab 81264
22
aa
06412 24 aa 0164 22 aa
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ibaiyx If
yabxba
2then 22
ie.g. 1612 Find
1222 ba 162 ab
ab 81264
22
aa
06412 24 aa 0164 22 aa
16or 4 22 aa
![Page 43: X2 T01 02 complex equations (2011)](https://reader033.vdocuments.site/reader033/viewer/2022060123/559751381a28ab75448b4691/html5/thumbnails/43.jpg)
ibaiyx If
yabxba
2then 22
ie.g. 1612 Find
1222 ba 162 ab
ab 81264
22
aa
06412 24 aa 0164 22 aa
16or 4 22 aa
42
ba
![Page 44: X2 T01 02 complex equations (2011)](https://reader033.vdocuments.site/reader033/viewer/2022060123/559751381a28ab75448b4691/html5/thumbnails/44.jpg)
ibaiyx If
yabxba
2then 22
ie.g. 1612 Find
1222 ba 162 ab
ab 81264
22
aa
06412 24 aa 0164 22 aa
16or 4 22 aa
42
ba solutionsreal no
![Page 45: X2 T01 02 complex equations (2011)](https://reader033.vdocuments.site/reader033/viewer/2022060123/559751381a28ab75448b4691/html5/thumbnails/45.jpg)
ibaiyx If
yabxba
2then 22
ie.g. 1612 Find
1222 ba 162 ab
ab 81264
22
aa
06412 24 aa 0164 22 aa
16or 4 22 aa
42
ba solutionsreal no
ii 421612
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ibaiyx If
yabxba
2then 22
ie.g. 1612 Find
1222 ba 162 ab
ab 81264
22
aa
06412 24 aa 0164 22 aa
16or 4 22 aa
42
ba solutionsreal no
ii 421612
Exercise 4A; 17 to 21, 22a, 23bc, 24, 25bd, 26ac, 27acd, 28ac, 29abd
Exercise 4G; 1 aceg, 3 to 7