Use Newton's method to find an approximate solution of 7 - 9x =x. Start with x, = 1 and then find x. (Round to four decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 20E
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Use Newton's method to find an approximate solution of 7- 9x=x°. Start with x, = 1 and then find x,.
X2 =
(Round to four decimal places as needed.)
Transcribed Image Text:Use Newton's method to find an approximate solution of 7- 9x=x°. Start with x, = 1 and then find x,. X2 = (Round to four decimal places as needed.)
Expert Solution
Step 1

Here, the given equation is:

7-9x=x3x3+9x-7=0

Let,

f(x)=x3+9x-7

And, the initial value given is:

x0=1

Here,

f'(x)=3x2+9

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