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!