1. `A=5+6i,B=-2+3i,C=1-3i`
Find A / B

Solution:
Here `A=5+6i,B=-2+3i,C=1-3i`


`A/B`

`=(5+6i)/(-2+3i)`

`=((5+6i))/((-2+3i))*((-2-3i))/((-2-3i))`

`=(-10-15i-12i-18i^2)/(4+6i-6i-9i^2)`

`=(-10-15i-12i-18(-1))/(4-9(-1))`

`=(-10-15i-12i+18)/(4+9)`

`=(8-27i)/(13)`

`=0.6154-2.0769i`

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2. `A=5+6i,B=-2+3i,C=1-3i`
Find B / C

Solution:
Here `A=5+6i,B=-2+3i,C=1-3i`


`B/C`

`=(-2+3i)/(1-3i)`

`=((-2+3i))/((1-3i))*((1+3i))/((1+3i))`

`=(-2-6i+3i+9i^2)/(1+3i-3i-9i^2)`

`=(-2-6i+3i+9(-1))/(1-9(-1))`

`=(-2-6i+3i-9)/(1+9)`

`=(-11-3i)/(10)`

`=-1.1-0.3i`

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3. `A=5+6i,B=-2+3i,C=1-3i`
Find A / C

Solution:
Here `A=5+6i,B=-2+3i,C=1-3i`


`A/C`

`=(5+6i)/(1-3i)`

`=((5+6i))/((1-3i))*((1+3i))/((1+3i))`

`=(5+15i+6i+18i^2)/(1+3i-3i-9i^2)`

`=(5+15i+6i+18(-1))/(1-9(-1))`

`=(5+15i+6i-18)/(1+9)`

`=(-13+21i)/(10)`

`=-1.3+2.1i`

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