By sketching two graphs on the same axes, show that the equation x³ + x + 5 = 0 has only one real root xo. If xo lies on the interval n

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.4: Graphs Of Quadratic Equations: The Discriminant
Problem 20WE
icon
Related questions
Question
topics :numerical methods
By sketching two graphs on the same axes, show that the equation x3 + x +
5 = 0 has only one real root xo. If xo lies on the interval n <x<n+1 where n
is an integer, find n.
Answer : -2
1.
Show that the equation 2x = 31n(x+1) has a roota in the interval 1 <x < 2
and use the Newton-Raphson method with an appropriate first
approximation to find the value of a correct to three decimal places.
Answer : 1.144
2.
Use the Newton-Raphson method to estimate VO.5 correct to four decimal
places.
3.
Answer : 0.8409
Transcribed Image Text:By sketching two graphs on the same axes, show that the equation x3 + x + 5 = 0 has only one real root xo. If xo lies on the interval n <x<n+1 where n is an integer, find n. Answer : -2 1. Show that the equation 2x = 31n(x+1) has a roota in the interval 1 <x < 2 and use the Newton-Raphson method with an appropriate first approximation to find the value of a correct to three decimal places. Answer : 1.144 2. Use the Newton-Raphson method to estimate VO.5 correct to four decimal places. 3. Answer : 0.8409
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Basics of Inferential Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill