A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 one year ago
Using the given zero, find all other zeros of f(x).
2i is a zero of f(x) = x^4  45x^2  196
 one year ago
Using the given zero, find all other zeros of f(x). 2i is a zero of f(x) = x^4  45x^2  196

This Question is Closed

cwrw238
 one year ago
Best ResponseYou've already chosen the best response.1+2i is also a solution dividing 4 into 196 gives 49 so it looks like 7 and 7 may be roots plugging these values gives 7^4  45*49  196 = 0

cwrw238
 one year ago
Best ResponseYou've already chosen the best response.1roots are 7,7,2i, 2i

cwrw238
 one year ago
Best ResponseYou've already chosen the best response.1i ought to explain some more about the above; complex roots exist as pairs if a + bi is a root then the other is a  bi thats why +2i is another root of your equation to find the other roots i used the rational root theorem the factors of 196 are +/1, +/ 2, +/4, +/7, +/14, +/28, +/ 49 and are possible roots i was lucky that i guessed it might be +7 and 7 first an equation in x^4 will have 4 roots , if some are complex there will be 2 of them
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.