How do you simplify \frac{2-i}{5+i}?

Haialarmz6

Haialarmz6

Answered question

2022-01-31

How do you simplify 2i5+i?

Answer & Explanation

Jude Carpenter

Jude Carpenter

Beginner2022-02-01Added 9 answers

Step 1
The conjugate of a complex number a+bi is abi. The product of a complex number and its conjugate is a real number. We will use that fact here.
2i5+i=2i5+i×5i5i
=(2i)(5i)(5+i)(5i)
=102i5i1255i+5i+1
=97i26
=926726i

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