# Math Help - Complex equation

1. ## 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

2. 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
$(3+7i)(x + iy) + (10-2i)(x - iy) + 100=0$

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

-Dan