Find out the answer to "How do you divide 6+5i6−5i?"

Secondary
Calculus and Analysis
Precalculus
Complex numbers

Rudy Koch

Answered question

2022-02-01

How do you divide

\frac{6 + 5 i}{6 - 5 i} ?

Answer & Explanation

Frauental91

Beginner2022-02-02Added 15 answers

Step 1

\frac{6 + 5 i}{6 - 5 i}

= \frac{(6 + 5 i) (6 + 5 i)}{(6 - 5 i) (6 + 5 i)}

= \frac{36 + 60 i - 25}{36 + 25}

= \frac{11 + 60 i}{61}

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