SOLUTION: For x^3-x^2+7x-7=0 a)how do you find the number of complex roots? b)how do you find the possible number of real roots? c)how do you find the possible number of imaginary roots?

Algebra ->  Rational-functions -> SOLUTION: For x^3-x^2+7x-7=0 a)how do you find the number of complex roots? b)how do you find the possible number of real roots? c)how do you find the possible number of imaginary roots?       Log On


   



Question 700144: For x^3-x^2+7x-7=0
a)how do you find the number of complex roots?
b)how do you find the possible number of real roots?
c)how do you find the possible number of imaginary roots?
d)how do you find all the zeroes?

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
For x^3-x^2+7x-7=0
a)how do you find the number of complex roots?
b)how do you find the possible number of real roots?
c)how do you find the possible number of imaginary roots?
d)how do you find all the zeroes?
**
using the rational roots theorem:
...0...|.....1....-1......7.......-7.........
...1...|.....1.....0......7........ 0...(1 is a root)
f(x)=(x-1)(x^2+7)
x-1=0
x=1
..
x^2+7=0
x^2=-7
x=±√-7
x=√7 i
x=-√7 i
Given function has one real root(zero)and two imaginary or complex roots