How do you divide \frac{2i}{4-5i}?

William Montgomery

William Montgomery

Answered question

2022-02-02

How do you divide 2i45i?

Answer & Explanation

KickAntitte06

KickAntitte06

Beginner2022-02-03Added 11 answers

Step 1
Multiply by the complex conjugate.
2i45i(4+5i4+5i)=8i+10i216+20i20i25i2=8i+10i21625i2
Recall that i=1, so i2=1
8i+10(1)1625(1)=8i1016+25=10+8i41
In the form of a complex number, this would be written as:
1041+841i

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?