SOLUTION: How do I solve problems like 10+5i/10-5i? I thought I just needed to multiply the top by the bottom, but I keep coming up with the worng answer.

Question 582408: How do I solve problems like 10+5i/10-5i? I thought I just needed to multiply the top by the bottom, but I keep coming up with the worng answer.
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How do I solve problems like 10+5i/10-5i?
---------
You don't solve it, there's no variable to solve for.
You can rationalize it, get the i out of the denominator.
--------
10+5i/10-5i
Reduce first
= (2+i)/(2-i)
Multiply NUM and DEN by the conjugate of the DEN, 2+i
= (2+i)*(2+i)/(2-i)*(2+i)
= (4 + 4i + i^2)/(4 - i^2)
= (4 + 4i - 1)/(4 + 1)
= (3 + 4i)/5
or 0.6 + 0.8i

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
In order for the fraction to remain the
same, the top and bottom must be multiplied
by the same thing.

Unless I messed it up, this is it
RELATED QUESTIONS
honestly, i don't know if i classified this right. i don't remember how to do problems... (answered by stanbon,richwmiller)
find the sum of the series using this symbol for the following problems: ------>... (answered by Edwin McCravy,KMST)
Find the absolute value of the complex number. |-10-5i| <---how do i do... (answered by jim_thompson5910)
how do i solve... (answered by cngriffith)
How do you solve (-2i)(5i)(-i)? (answered by ewatrrr)
Hi, can you show me how to solve a problem like this one? Find Multiplicative Inverse. (answered by AnlytcPhil)
(5i)(−3i) I just do not... (answered by macston,ikleyn)
3+5i........5-5i 4-5i ------ and ---- + ---- 9-2i........1+5i 1+5i I have been... (answered by ankor@dixie-net.com)
The expression: 2+i/3+i is equivalent to? a)6+5i/8 b)6+i/8 c)7-5i/10 d)7+i/10 (answered by ptaylor)