Engineering Board Exam Reviewer · Numerical Methods · easy

Apply one Newton-Raphson iteration to f(x)=x2-5 starting from x0=2.

1. 1.75
2. 2.25
3. 2.5
4. 2.24

Answer

B. 2.25

Solution

x1=x0-f(x0)/f'(x0)=2-4-5/2(2)=2+ 14=2.25.

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