Simplifying with Imaginary Numbers

[McAfee]

Homework Statement

I'm trying to see if what I have before the e match up with the correct answer.


the correct answer is (2+.5i)e^(1+3i)x + (2-.5i)e^(1-3i)x

The Attempt at a Solution

This is what I have so far.

I don't know how I would simplify anymore. Please help.

 

[jedishrfu]

I noticed that you rewrote sqr(-36) = 3i when it should be 6i perhaps this is where you went wrong.

 

[McAfee]

I noticed that you rewrote sqr(-36) = 3i when it should be 6i perhaps this is where you went wrong.

If you look and then divided it by 2 making it equal 3i

 

[jedishrfu]

sorry, didnt notice the 2 divisor.

wrt simplifying, how about using the complex conjugate of -3+3i to multiply top and bottom that would eliminate the complex number denominator.

Also there's eulers formula so you could convert the complex factors to e to some power and then combine the powers and simplfy further.

 

[McAfee]

Ok. thanks for the help. I'll try again.