SOLUTION: Put in the simplest form each of : (1) 5/1-2i (2) 2+3i/2-3i

Algebra ->  Trigonometry-basics -> SOLUTION: Put in the simplest form each of : (1) 5/1-2i (2) 2+3i/2-3i      Log On


   

Question 1049417: Put in the simplest form each of :
(1) 5/1-2i
(2) 2+3i/2-3i
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Put in the simplest form each of :
(1) 5/1-2i
(2) 2+3i/2-3i
===========
Multiply the NUM and the DEN by the conjugate of the DEN
---
(2+3i)*(2+3i)/((2-3i)/(2+3i)) = (2+3i)^2/(4+9)
= 4+%2B+12i+-+9%29%2F13
= %28-5+%2B+12i%29%2F13
=======================
Do the 1st one the same way.
It's simpler.

Answer by ikleyn(52794) About Me  (Show Source):