Divide \frac{3+2i}{5-i}

a2linetagadaW

a2linetagadaW

Answered question

2021-09-21

Divide
3+2i5i

Answer & Explanation

faldduE

faldduE

Skilled2021-09-22Added 109 answers

Step 1
Given is 3+2i5i
Step 2
Apply complex arithmetic rule: a+bic+di=(a+bi)(c+di)×(cdi)(cdi)
Step 3
3+2i5i×5+i5+i
(3+2i)(5+i)(5+i)(5i)[(a+b)(ab)=a2b2]
(15+3i+10i+2i2)(52i2)[i2=1]
(15+13i2)(52(1))
(13+13i)(25+1)
(13+13i)(26)
1326+1326i
12(1+i)
Step 4
The required answer is
12(1+i)

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