How do you divide \frac{6-4i}{9-4i}?

Marissa English

Marissa English

Answered question

2022-01-31

How do you divide 64i94i?

Answer & Explanation

Dakota Cunningham

Dakota Cunningham

Beginner2022-02-01Added 9 answers

Step 1
Always get rid of the complex numbers on the bottom. This can be done by multiplying the denominator and the numerator by the complex conjugate of the denominator.
Allow me to demonstrate:
64i94i=64i94i×9+4i9+4i
Step 2
Doing so gets rid of the imaginary part of the denominator.
64i94i×9+4i9+4i=(64i)(9+4i)(9)2(4i)2
(64i)(9+4i)(9)2(4i)2=(64i)(9+4i)8116(1)=(64i)(9+4i)97
(64i)(9+4i)97=5436i+24i+1697=7012i97
7012i97=70971297i

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