Can this method work to obtain complex zeroes?|Solving Polyn Eqns 37b

Wild Egg Maths

4.9K subscribers

Does our new general method for solving polynomial equations work also to get complex number approximate zeroes? Here we look at two different cases of this equation, and have a look also at bootstrapping for complex numbers.

00:00

hello everyone i'm nolan balberger and

00:02

thanks for joining me on this adventure

00:03

towards solving general polynomial

00:05

equations

00:06

this is a little bit of an addendum to

00:08

the 37 lecture we're going to look at

00:11

the situation of complex zeros

00:15

and can this general method that we're

00:17

looking at

00:19

obtain complex zeros also

00:22

so we're just going to restrict

00:23

ourselves to the cubic case and

00:26

hopefully things work out there then

00:28

we'll be able to extend it further okay

00:30

so let me just remind you very quickly

00:32

the geometric cubic this special form

00:34

where we have a one minus x and then two

00:37

uh coefficients t2 x squared t3 x cubed

00:39

we have a general

00:41

solution

00:42

f of t23 in terms of these by tri rsp

00:46

numbers are m2 m3 and this i