Complex Equations

Complex EquationsIf two complex numbers are equal, then their real parts are equal and their imaginary parts are equal

Complex EquationsIf two complex numbers are equal, then their real parts are equal and their imaginary parts are equal

ibaibaei 2211If ..

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

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

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

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

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-ii iii 4and4 rootsith equation wquadratic theFind

8 -ii iii 4and4 rootsith equation wquadratic theFind

8 -ii iii 4and4 rootsith equation wquadratic theFind

17

8 0178 isequation 2 xx

-ii iii 4and4 rootsith equation wquadratic theFind 17

8 0178 isequation 2 xx

iibaiv 125

-ii iii 4and4 rootsith equation wquadratic theFind 17

8 0178 isequation 2 xx

iibaiv 125

-ii iii 4and4 rootsith equation wquadratic theFind 17

iiba 1252

8 0178 isequation 2 xx

iibaiv 125

-ii iii 4and4 rootsith equation wquadratic theFind 17

iiba 1252 ibabia 1252 22

8 0178 isequation 2 xx

iibaiv 125

522 ba

-ii iii 4and4 rootsith equation wquadratic theFind 17

iiba 1252 ibabia 1252 22

8 0178 isequation 2 xx

iibaiv 125

522 ba

-ii iii 4and4 rootsith equation wquadratic theFind 17

iiba 1252 ibabia 1252 22

122 ab

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

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

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

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

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

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

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

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

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

ibaiyx If

ibaiyx If

yabxba

2then 22

ibaiyx If

yabxba

2then 22

ie.g. 1612 Find

ibaiyx If

yabxba

2then 22

ie.g. 1612 Find

1222 ba

ibaiyx If

yabxba

2then 22

ie.g. 1612 Find

1222 ba 162 ab

ibaiyx If

yabxba

2then 22

ie.g. 1612 Find

1222 ba 162 ab

ab 8

ibaiyx If

yabxba

2then 22

ie.g. 1612 Find

1222 ba 162 ab

ab 81264

22

aa

ibaiyx If

yabxba

2then 22

ie.g. 1612 Find

1222 ba 162 ab

ab 81264

22

aa

06412 24 aa

ibaiyx If

yabxba

2then 22

ie.g. 1612 Find

1222 ba 162 ab

ab 81264

22

aa

06412 24 aa 0164 22 aa

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

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

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

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

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