MATH SOLVE

10 months ago

Q:
# Find the quotient. Show all work for full credit. 4+2i/6-i

Accepted Solution

A:

Multiply top and bottom of the fraction by the conjugate of 6 - i:-

(4 + 2i)(6 + i) 24 + 16i - 2 22 + 16i

----------------- = ---------------- = -----------

(6 - i)(6 + i) 36 - (-1) 37

(4 + 2i)(6 + i) 24 + 16i - 2 22 + 16i

----------------- = ---------------- = -----------

(6 - i)(6 + i) 36 - (-1) 37