The equation f(x)=x^2-10=0 has a root near x=3.   a) Apply four iterations of the Secant Method, taking the initial approximations  and , to approximate the value of this root. Tabulate your iterations.   b) Determine the number of significant digits to which the last iteration’s -value approximates the true solution of the equation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The equation f(x)=x^2-10=0 has a root near x=3.
 

a) Apply four iterations of the Secant Method, taking the initial approximations  and , to approximate the value of this root. Tabulate your iterations.

 


b) Determine the number of significant digits to which the last iteration’s 
-value approximates the true solution of the equation.    

Expert Solution
Step 1

Given : x2-10=0

To Find : 

(a) Roots by Secant Method

(b) Significant digit to which the approximated solution is correct.

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