Dear All
In the following set of equations, twoequations onecomplex variable :
abs(z+16) + abs(z) = 20
abs(z+8) = 7
Where abs stands for absolute value . The variable z is from the complex zplane . How many solutions does this set of equations have ?
The answers are as :
1 Four distinct solutions
2 Three distinct solutions
3 Two distinct solutions
4 On solution
Which one is correct in your opinion ?
Thank you
complex variable?
Re: complex variable?
Its the intersection of a ellipse and a circle... does that help?

 Posts: 34
 Joined: Thu Dec 30, 2010 4:36 am
Re: complex variable?
Thank you for your reply. Can you please provide more details ?

 Posts: 34
 Joined: Thu Dec 30, 2010 4:36 am
Re: complex variable?
According to you, the first equation is an ellipse with focus at (16,0) and (0,0) and 2a=20 and the second equation is a circle with center at (8,0) and radius of 7 so they intersect at two points. It is correct in your opinion ?