Engineering Board Exam Reviewer · Numerical Methods · medium

Apply one Newton-Raphson iteration to f(x)=x3-2x-5 starting from x0=2.

1. 1.9
2. 3
3. 2.1
4. 2.2

Answer

C. 2.1

Solution

f(2)=8-4-5=-1 and f'(x)=3x2-2 f'(2)=10. Then x1=2--1/10=2.1.

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