Question
Asked Nov 19, 2019
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What would be the ratio of this equation (-3+i5)/(-6+i8)? & what would be the product of this equation (-4+i3)(-4-i3)

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Expert Answer

Step 1

Given:

(-3+15)
(-6+18)
and (-4 3) (-4-3)
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(-3+15) (-6+18) and (-4 3) (-4-3)

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Step 2

Calculation:

(-3+i5)
(-6+18)
(ас + bd) + (bc -ad)i
c2 d2
a ib
Applying complex rule:
c+id
Here, a-3,b = 5, c =-6 and d = 8
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(-3+i5) (-6+18) (ас + bd) + (bc -ad)i c2 d2 a ib Applying complex rule: c+id Here, a-3,b = 5, c =-6 and d = 8

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Step 3
So that
(-3+15)_ ((-3)(-6)+(5)(8)+ i(5)(-6)-(-3) (8))
(-6+(8)
(18+40)30+24)
(-6+18)
36+64
58+(-6
100
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So that (-3+15)_ ((-3)(-6)+(5)(8)+ i(5)(-6)-(-3) (8)) (-6+(8) (18+40)30+24) (-6+18) 36+64 58+(-6 100

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Tagged in

Math

Algebra

Complex Numbers