Tuesday

October 21, 2014

October 21, 2014

Posted by **Lee** on Tuesday, April 24, 2012 at 7:31pm.

Problem: 4+2i/4-2i

- Algebra -
**Damon**, Tuesday, April 24, 2012 at 7:45pmi = sqrt (-1)

so i^2 = sqrt (-1)(sqrt(-1) = -1

(4+2i)/(4-2i)

to get rid of i in the denominator multiply top and bottom by the "comlex conjugate of (4-2i) which is (4+2i)

Rule: conjugate of (a-bi) is (a+bi)

(4+2i)(4+2i)

-------------

(4-2i)(4+2i)

16 + 16 i +4 i^2

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

(16 - 2 i^2)

but we all know that i^2 = -1 so

12 + 16 i

----------

18

or

6 + 8 i

--------

9

**Answer this Question**

**Related Questions**

Algebra 1 Concept Explaination - Can anyone thoroughly explain how to graph ...

Algebra - Can you explain slope (y=mx+b) i am having difficulty grasping the ...

Algebra - Here is the problem: A two-digit number is eight times the sum of its ...

Algebra - Here is the problem: A two-digit number is eight times the sum of its ...

Algebra - What is the domain of the function f(x) = square root of (12x-24) I ...

Algebra II- please help! - I just cannot seem to be able to grasp the concept of...

Algebra - I need to make an algebra problem using a cake with the measurements ...

Algebra - I need to make an algebra problem using a cake with the measurements ...

Algebra - I need help on doing a math problem for my algebra class so if u could...

math - Use algebra pieces and mental arithmetic to determine four consecutive ...