Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
swissgirl
Group Title
How to find the complex roots of
\(x^4+x^3+3x^2+2x+2 \)
 one year ago
 one year ago
swissgirl Group Title
How to find the complex roots of \(x^4+x^3+3x^2+2x+2 \)
 one year ago
 one year ago

This Question is Closed

dumbcow Group TitleBest ResponseYou've already chosen the best response.2
you have to factor out any real roots easiest to graph the function to obtain any real roots
 one year ago

swissgirl Group TitleBest ResponseYou've already chosen the best response.0
There are no real roots though
 one year ago

swissgirl Group TitleBest ResponseYou've already chosen the best response.0
its above the y axis
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
let (x^2+bx+1)(x^2+cx+2) = that expression and find the value of b and c
 one year ago

dumbcow Group TitleBest ResponseYou've already chosen the best response.2
ok then yeah what @experimentX said if two of the complex roots is in the form: \[x = a \pm bi\] then \[xa = \pm bi\] \[(xa)^{2} = b^{2}\] \[x^{2}+ (2a)x +(a^{2}+b^{2}) = 0\] anyway , my point is that a pair of complex roots come from a quadratic equation :
 one year ago

KingGeorge Group TitleBest ResponseYou've already chosen the best response.2
I imagine you could factor this by grouping and then use the quadratic formula again.
 one year ago

swissgirl Group TitleBest ResponseYou've already chosen the best response.0
i tried doing the method u taught me yesterday but it wldnt go
 one year ago

KingGeorge Group TitleBest ResponseYou've already chosen the best response.2
\[\Large x^4+x^3+3x^2+2x+2 \\ \Large =x^4+2x^2+x^3+x^2+2(x+1)\\ \Large =x^4+2x^2+x^2(x+1)+2(x+1)\\ \Large =x^2(x^2+2)+(x^2+2)(x+1)\\ \Large =(x^2+2)(x^2+x+1)\]
 one year ago

KingGeorge Group TitleBest ResponseYou've already chosen the best response.2
I think the trick is seeing to split up the \(3x^2\) as \(2x^2+x^2\).
 one year ago

swissgirl Group TitleBest ResponseYou've already chosen the best response.0
omg y is it always sooooo simple and I can never see it lol
 one year ago

swissgirl Group TitleBest ResponseYou've already chosen the best response.0
Thanksssss guyssss for helping me :))))
 one year ago

KingGeorge Group TitleBest ResponseYou've already chosen the best response.2
You're welcome.
 one year ago
See more questions >>>
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.