In the complex plane, the graph of |z-3|=2*|z+3| intersects the graph of |z|=k in exactly one point. Find all possible values of k. Enter all possible values, separated by commas.
The possible values of k are 2 and 8.
Here is a link (let me know if the link doesn't work)
Note: This is not a proper answer.
https://www.wolframalpha.com/input/?i=%7Cz-3%7C%3D2*%7Cz%2B3%7C%2C+%7Cz%7C%3Dk