Fsc Part 1 Mathematics (Complete Solution)

Q12
(5,-4) ÷ (-3,-8)

(5,-4)÷(-3,-8)

SOLUTION:(5,-4)÷(-3,-8)

=
(5,-4)
(-3,-8)
=
5-4ι
-3-8ι

By rationalizing

=
5-4ι
-3-8ι
x
-3+8ι
-3+8ι
=
(5-4ι)(-3+8ι)
(-3-8ι)(-3+8ι)
=
(5)(-3)+(5)(8ι)+(-4ι)(-3)+(-4ι)(8ι)
(-3)2-(8ι)2
=
-15+40ι+12ι-32ι2
9-64ι2

put the value of ι2

=
-15+52ι-32(-1)
9-64(-1)
=
17+52ι
73
=
17
73
+
52ι
73

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