list all roots of

1) x^5-3x^4+3x^3-x^2=0

2)8x^3-12x^2+6x-1

3) x^4=16

2 answers

Sorry, I don't remember how to do #1 and 2, but 3 is x=+-2
Finding roots of Eqs that are 3rd degree or higher is done mostly by trial and error.However, Excel Spread sheets made the task a little easier.

First, we find a number that will satisfy the given Eq. It was determined
that 0 and 1 were the only numbers that
satisfied your Eq. so the roots are:

1. x = 0, and x = 1.

2. I found only one root for this one:
X = 0.50.

3. X^4 = 16.
Take sqrt of both sides:
X^2 = 4,
Take sqrt of both sides and get:
x = +- 2.