## Alexis1994_13 4 years ago really comfused with the acts. Check it out please. (conjugate of z)*w=2+3x+(2x-3)i and (conjugate of w)*z=2+3x-(2x-3)i Find x when you know this :[(conjugate of z)*w-(conjugate of w)*z]/(2*i)=5*[(conjugate of z)*w+(conjugate of w)*z]/2

1. Mercury21

now when you say (conjugate of z)*w you mean 2+3x+(2x-3)i correct? so in the actual question you just replace the word with the equation am i getting that correct?

2. Alexis1994_13

yes

3. Mercury21

okay give me a sec and ill work through it for you

4. Alexis1994_13

thanks,I am waiting,step by step please cause I lose it for some reason. :/

5. Mercury21

Start with the right side \[5(2+3x+(2x-3)i)+(2+3x-(2x-3)i)\]/2 \[10+15x+(10x-15)i+10+15x-(10x-15)i\] \[(20+30x)/2\] left side \[2+3x+(2x-3)i-(2+3x-(2x-3)i)\] \[[(2x-3)i+(2x-3)i]/[2i]\] in total we then have \[[(2x-3)i+(2x-3)i]/[2i] = (20+30x)/2\]

6. Mercury21

now are you trying to solve for x? or just simplyfy

7. Alexis1994_13

I found it,thanks a lot.