(February 16, 2022 at 10:28 am)polymath257 Wrote:(February 13, 2022 at 11:07 am)FlatAssembler Wrote: Hey, guys!
So, in my Introduction to Robotics class, we are supposed to solve, as a part of solving an example, this equation (page 12):
1/s+1/(s+2)+1/(s+6-2i)+1/(s+6+2i)=1/(s+1)
Now, the very next step we are given goes like this:
3s^4+32s^3+106s^2+128s+80=0
I do not understand how they got from the first equation to the second one. Can somebody here explain me that?
By the way, it looks like this equation has two negative real roots and two complex roots. One of the real roots is approximately -5.471 and the other is approximately -3.678. I haven't searched for the complex roots.
How did you figure it out?