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(1) Find the real and imaginary parts of
[tex] \frac{3 + i}{2 - 3i} [/tex]
(2) solve the complex equations
[tex]3(x + yi) = 6 - 3i[/tex]
[tex](1 + 2i)(2 - 3i) = x + yi[/tex]
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1 Find The Real And Imaginary Parts Oftex Frac3 I2 3i Tex2 Solve The Complex Equationstex3x Yi 6 3itextex1 2i2 3i X Yitex class=

Answer :

Find the real and imaginary parts of 13+2
1
3
z
+
2
So I have expanded it out to get 13+3+2
1
3
x
+
3
i
y
+
2

Thus giving (13+2)=13+2
R
e
(
1
3
z
+
2
)
=
1
3
x
+
2
and (13+2)=13
I
m
(
1
3
z
+
2
)
=
1
3
y

However in my answer book it says: (13+2)=3+2(3+2)2+92
R
e
(
1
3
z
+
2
)
=
3
x
+
2
(
3
x
+
2
)
2
+
9
y
2
and (13+2)=−3(3+2)2+92

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