# Thread: Help with Complex Numbers

1. ## Help with Complex Numbers

Hi guys, I am new here and I would really appreciate some help. I would like to know how to solve these questions please:

Q1. (a) Vertify that the complex number z1 = 3-2i is a root of the equation z2-6z + 13=0 and find z1, the other root of this equation.

(b) On the argand diagram plot the complex numbers z1 and z2

(c) z3, is the image of z1 under the central symmetry in z2. Express z3 in the form a + bi and plot it on the argand diagram.

(d) Investigate if ¦z1-z2¦ = ¦z1¦-¦z2¦

Thank you!

2. ## Re: Help with Complex Numbers

Originally Posted by Molly1313

Q1. (a) Vertify that the complex number z1 = 3-2i is a root of the equation z2-6z + 13=0 and find z1, the other root of this equation.

(b) On the argand diagram plot the complex numbers z1 and z2

(c) z3, is the image of z1 under the central symmetry in z2. Express z3 in the form a + bi and plot it on the argand diagram.

(d) Investigate if ¦z1-z2¦ = ¦z1¦-¦z2¦
Just what part of this do you not understand?
See if $\displaystyle 3+2i$ is also a root.

3. ## Re: Help with Complex Numbers

The whole question unfortunately

4. ## Re: Help with Complex Numbers

Originally Posted by Molly1313
The whole question unfortunately
Do you understand how to evaluate $\displaystyle (3-2i)^2~\&~-6(3-2i)~?$

5. ## Re: Help with Complex Numbers

Em, no. I feel so dumb

6. ## Re: Help with Complex Numbers

Originally Posted by Molly1313
Em, no. I feel so dumb
You require a live tutor. We do not provide such a service here.

7. ## Re: Help with Complex Numbers

Nevermind, thanks anyway

8. ## Re: Help with Complex Numbers

Hey I have that exact question to do as well I have done part a,b and d but i can't do c can somebody help me please