Originally Posted by

**Tutu** Hi I'm not very sure if this is in the correct forum, but I sincerely apologize if it is not.

If a is ±3 and b is ±1,

in forming the complex number a+bi,

is it right to say that the possible combinations include -3-i and 3+i?

I was doing a question on finding the square root of 8-6i, and got down to a i= ±3 and b = ±1, I don't really know which to use! My friend used 3-i to form

±(3-i)^2, but why can't I use ±(3+i)^2 etc?

2.) Solve the simultaneous equations iz+2w=2 and z-(1+i)w=4 and give your answer in the form a+ib where a and b are real.

I tried making w and z the subject respectively, and equated the equations together, but then I realized I was getting a value for z and w, nothing that gives me a+bi..how do I get a and b?

Thank you so much for your time! Really appreciate it!