How do you divide \frac{3+9i}{-6-6i}?

Carol Valentine

Carol Valentine

Answered question

2022-01-15

How do you divide 3+9i66i?

Answer & Explanation

Jeffery Autrey

Jeffery Autrey

Beginner2022-01-16Added 35 answers

Let z=3+9i66i
z=3(1+3i)6(1+i)=12(1+3i1+i)
z=12(1+3i1+i)(1i1i)
z=12(1i+3i3i212i2)
z=12(1+2i3(1))1(1)
z=12(4+2i2)
z=1i2.
Papilys3q

Papilys3q

Beginner2022-01-17Added 34 answers

You can multiply numerator and denominator by the expression
6+6i:
(3+9i)(6+6i)(66i)(6+6i)=
18+18i54i+54i23636i2
Since i2=1, you will have:
1836i5436+36=
7236i72=
112i

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