Thread: Complex equation

the set of complex numbers z satisfying the equation
(3+7i)z + (10-2i)conjugate(z) + 100=0 represents in the complex plain

1. a straight line

2. a pair of intersecting straight line

3. a pair of distinct straight line

Originally Posted by biplab

the set of complex numbers z satisfying the equation
(3+7i)z + (10-2i)conjugate(z) + 100=0 represents in the complex plain

1. a straight line

2. a pair of intersecting straight line

3. a pair of distinct straight line

Let z = x + iy

Then


That will give you (presumably) two equations in x and y. Solve each for y and see what it gives you.

-Dan