How do you simplify \frac{3-i}{4-i}?

m4tx45w

m4tx45w

Answered question

2022-01-31

How do you simplify 3i4i?

Answer & Explanation

dikgetse3u

dikgetse3u

Beginner2022-02-01Added 10 answers

Step 1
Multiply by the complex conjugate of the denominator.
3i4i(4+i4+i)=12+3i4ii216+4i4ii2=12ii216i2
Remember that i=1, so i2=1
12i(1)16(1)=13i17=1317117i
Notice that the answer is written in the form of a complex number a+bi

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