How do you divide (2-3i)\frac{5i}{2+3i}?

Caleb Snyder

Caleb Snyder

Answered question

2022-02-01

How do you divide (23i)5i2+3i?

Answer & Explanation

Brenton Pennington

Brenton Pennington

Beginner2022-02-02Added 15 answers

First step is to multiply (23i) by 5i:
(23i)(5i2+3i)=10i+152+3i=5(3+2i)2+3i
Next step is to expand the fraction by complex conjugate of the denominator. In this way we get a real number in the denominator.
5(3+2i)2+3i=5(3+2i)(23i)(2+3i)(23i)=
=5(125i)43=6025i
Answer: (23i)5i2+3i=6025i

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