(a) Use Newton's method with x = 1 to find the root of the equation x-x=5 correct to six decimal places. (b) Solve the equation in part (a) using x 0.6 as the initial approximation.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.4: Solving Quadratic Equations By Factoring
Problem 59HP
icon
Related questions
Question
(a) Use Newton's method with x=1 to find the root of the equation x-x=5 correct to six decimal places.
(b) Solve the equation in part (a) using x 0.6 as the initial approximation.
x=
(c) Solve the equation in part (a) using x10.57. (You definitely need a programmable calculator for this part.)
x=
(d) Graph f(x)=x²-x-5 and its tangent lines at x,-1, 0.6, and 0.57.
-1.0 -0.5
0.5
1.0 1.5 2.0
G=1
-0.6
DZ
TD
X₁-0.6
X=0.57
0.5 1.0 1.5 2.0
X₁0.57
-1.0 -0.5
X-0.57
-1.0
-8.3
X₁ -0.37
B₁1-04
(x₁=1
1.0
x
Transcribed Image Text:(a) Use Newton's method with x=1 to find the root of the equation x-x=5 correct to six decimal places. (b) Solve the equation in part (a) using x 0.6 as the initial approximation. x= (c) Solve the equation in part (a) using x10.57. (You definitely need a programmable calculator for this part.) x= (d) Graph f(x)=x²-x-5 and its tangent lines at x,-1, 0.6, and 0.57. -1.0 -0.5 0.5 1.0 1.5 2.0 G=1 -0.6 DZ TD X₁-0.6 X=0.57 0.5 1.0 1.5 2.0 X₁0.57 -1.0 -0.5 X-0.57 -1.0 -8.3 X₁ -0.37 B₁1-04 (x₁=1 1.0 x
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax