1. Translate the statement below to an equation using absolute value and solve:
The distance between 50 and me is at least 10.
|x-50| ≥ 10
1. Translate the statement below to an equation using absolute value and solve:
The distance between 50 and me is at least 10.
2. Using the given zero, find all of the zeros and write a linear factorization of f(x).
1+3i is a zero of f(x)=x^4-2x^3+5x^2+10x-50
1. Translate the statement below to an equation using absolute value and solve:
The distance between 50 and me is at least 10.
|x-50| ≥ 10
No problem. I don't remember how to do #2 though D:
---------- Post added at 03:32 PM ---------- Previous post was at 03:23 PM ----------
http://www.wolframalpha.com/input/?i...x%5E2%2B10x-50
John (01-31-2012)
1+3i is a zero of f(x)=x^4-2x^3+5x^2+10x-50
Since 1+3i is a root, 1-3i is also a root. ((x-1)-3i)((x-1)+3i)=(x-1)^2-(3i)^2=x^2-2x+1-9i^2=x^2-2x+10
Use long division to get x^2-5.
Find the two roots of that are +- radical 5.
Therefore, all the zeroes are 1+3i,1-3i, radical 5, negative radical 5.
Linear factorization is f(x)=(x-1-3i)(x-1+3i)(x+5^.5)(x-5^.5)
Last edited by bamag; 01-31-2012 at 02:47 PM.