A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 one year ago
solving an equation
If f(x)=x^38x+10, show that there are values c for which f(c) equals;
a)pi
b)square root of 3
c)5,000,000
 one year ago
solving an equation If f(x)=x^38x+10, show that there are values c for which f(c) equals; a)pi b)square root of 3 c)5,000,000

This Question is Closed

harsimran_hs4
 one year ago
Best ResponseYou've already chosen the best response.0for each part proceed this way... a) pi let there be a number c such that f(c) = pi i.e x^3  8x + 10 = pi x^3 8x +10pi = 0 all you need to show is that there is at least one real root of this equation and you are done

malibugranprix2000
 one year ago
Best ResponseYou've already chosen the best response.0so for b is 9.05

malibugranprix2000
 one year ago
Best ResponseYou've already chosen the best response.0oh I plugged something wrong. Is it, 18.66

harsimran_hs4
 one year ago
Best ResponseYou've already chosen the best response.010 + sqrt(3) = 11.732 x^3 8x +11.732 = 0 for 2nd part

klimenkov
 one year ago
Best ResponseYou've already chosen the best response.0\(f(x)\) is continuous, so it can possess any value between \(f(a)\) and \(f(b)\). If you put \(a=\infty\) and \(b=\infty\), you will have, that your polynomial can possess any value from \(\mathbb R\). This is the proof.

wio
 one year ago
Best ResponseYou've already chosen the best response.0Basically, you want to use the intermediate value theorem.
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.