Question
Use the intermediate-value theorem to show that There is a solution of the given equation in the indicated interval.$$x^{4}-x-1=0 ; \quad[-1,1]$$
Step 1
We want to show that there is a solution to the equation $f(x) = 0$ in the interval $[-1,1]$. Show more…
Show all steps
Your feedback will help us improve your experience
Nick Johnson and 53 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Use the intermediate-value theorem to show that There is a solution of the given equation in the indicated interval. $$x^{2}-2+\frac{1}{2 x}=0 ; \quad\left[\frac{1}{4}, 1\right]$$
Limits and Continuity
Two Basic Theorems
Use the intermediate-value theorem to show that There is a solution of the given equation in the indicated interval. $$x^{5 / 3}+x^{1 / 3}=1 ; \quad[-1,1]$$
Use the intermediate-value theorem to show that There is a solution of the given equation in the indicated interval. $$2 x^{3}-4 x^{2}+5 x-4=0\quad[1,2].$$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD
