SOLUTION: perform the indicated operation and simplify: 1+3i/1-2i

Question 30908: perform the indicated operation and simplify:
1+3i/1-2i
Answer by kietra(57) (Show Source): You can put this solution on YOUR website!
(1+3i)/(1-2i)
In imaginary numbers, there's a rule that you can never have an i in the denominator. To get rid of that, you multiply by the inverse of (1-2i) which is (1+2i) in both the denominator and numerator. You must use FOIL to multiply the numbers.
(1+3i)/(1-2i)* (1+2i)/(1+2i). Multiply numerators together and denominators.
(1+3i)(1+2i)/(1-2i)(1+2i)
(1 + 2i + 3i + 6i^2)/(1 -2i + 2i - 4i^2)
(1 + 5i + 6(-1))/(1 -4(-1))
(1-6 + 5i)/(1 + 4)
(-5 + 5i)/(5) =now reduce
5(-1 + i)/5
-1 + i

RELATED QUESTIONS
5. Perform the indicated operation and write your result in standard form. (6+2i)(1... (answered by tommyt3rd)

Perform the indicated operation.... (answered by Fombitz)

Perform indicated operation and simplify. Write each answer in form of a+bi 1.... (answered by jim_thompson5910)

Perform the indicated operation and simplify: a) square root of -54 b) i^53 c)... (answered by stanbon)

Perform the indicated operation 7. (4-2i)(8+4i) Simplify and write in a+bi form... (answered by lwsshak3)

Perform the indicated operation.. {{{ (9-8i)+(7+2i) }}}. {{{ (3+4i)(2-6i) }}}.... (answered by jim_thompson5910)

Perform each of the indicated operation and express the result in the form a + in, where... (answered by ikleyn)

perform the indicated operation and express each answer in a+bi form 1) (1/5... (answered by ewatrrr)