**Question:** **The complex number** (z = x + y

**i**)

**satisfies the the equation $\displaystyle |z-3|+|z+3|=10$** **What are the two points on the real axis which satisfy this equation?** **What are the two points of the imaginary axis which satisfy this equation?** **Hence sketch the locus of z on this diagram.** *My answer:* *For the two real points I got -5 and 5.* *Because I ended up with |5| = z* *Since z = x + y***i** I thought that y = 0
My queries:

But looking down apparently I was wrong because it then asks for the value of y.

Anybody able to point me in the right direction?

Btw, what is a locus?