Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
malibugranprix2000
Group Title
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
 one year ago
malibugranprix2000 Group Title
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
 one year ago

This Question is Closed

noureddine92 Group TitleBest ResponseYou've already chosen the best response.0
a. 15.87
 one year ago

harsimran_hs4 Group TitleBest ResponseYou've already chosen the best response.0
for 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
 one year ago

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

harsimran_hs4 Group TitleBest ResponseYou've already chosen the best response.0
what 9.05 ??
 one year ago

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

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

klimenkov Group TitleBest 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.
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.0
Basically, you want to use the intermediate value theorem.
 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.