Originally Posted by

**shadow_2145** Actually, the first one is different from the example I provided. What is this mathematica?! I don't understand it, lol.

Ok, I didn't notice. That's good though. Gives us more practice. Also, can use Rouche's Theorem to find the roots. But to be honest, the lot of them would take me a while unless I really get the hang of it. Guess that's a bit of a contradiction since I added that bit about Riemann but I digress. Don't wait on me. Try and apply what we did above to those three. Mathematica is a program for doing math. Just like I typed in those commands and it output the roots. Tons more. Do a search on the web for Mathematica and also look down in the computer forum below. We have mathematica (and Matlab) problems that are solved. Everyone who does math should do Mathematica:

Code:

In[81]:= N[Solve[z^4 - 3 z^2 + 3 == 0, z], 4]
N[Solve[z^2 + I*z + 2 + I == 0, z], 4]
N[Solve[z^7 + 6*z^3 + 7 == 0, z], 4]
Out[81]= {{z -> -1.2712 + 0.3406 I}, {z ->
1.2712 - 0.3406 I}, {z -> -1.2712 -
0.3406 I}, {z -> 1.2712 + 0.3406 I}}
Out[82]= {{z -> -0.3257 + 1.0350 I}, {z ->
0.326 - 2.035 I}}
Out[83]= {{z -> -1.000}, {z -> -1.122 -
1.201 I}, {z -> -1.122 + 1.201 I}, {z ->
0.4644 - 0.9559 I}, {z ->
0.4644 + 0.9559 I}, {z ->
1.157 - 0.978 I}, {z -> 1.157 + 0.978 I}}