# Argand plane, wolfram alpha

#### Pranav

##### Well-known member
I am wondering how one would go about drawing graphs in Argand plane using Wolfram Alpha. For instance, I want to plot an ellipse $|z-1|+|z+1|=5$ using W|A, what should be the input? Simply entering $|z-1|+|z+1|=5$ doesn't give what I want.

Thanks!

#### Deveno

##### Well-known member
MHB Math Scholar
Wolfram|Alpha doesn't seem to do well with complex plots.

What I would do is take the square root of the modulus and turn it into a "real" plot, like so:

$\sqrt{(x-1)^2 + y^2} + \sqrt{(x+1)^2 +y^2} = 5$

#### Pranav

##### Well-known member
Wolfram|Alpha doesn't seem to do well with complex plots.

What I would do is take the square root of the modulus and turn it into a "real" plot, like so:

$\sqrt{(x-1)^2 + y^2} + \sqrt{(x+1)^2 +y^2} = 5$
Yes, I know I can enter that but that was just an example I stated in my post. How would I go about plotting

$$(z-1)^{25}=2\omega^2(z+1)^{25}$$