Dear All In the following set of equations, two-equations one-complex variable : abs(z+16) + abs(z) = 20 abs(z+8) = 7 Where abs stands for absolute value . The variable z is from the complex z-plane . 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
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 ?