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The equation x³ - x² + 4x - 4 = 0 is to be solved using the Newton-Raphson method. If x = 2 is taken as the initial approximation of the solution, then the next approximation using this method will be

1. 2/3
2. 4/3
3. 1
4. 3/2

Correct answer: 4/3

Solution

f(2)=8-4+8-4=8 and f'(2)=12-4+4=12. Newton step: 2 - 8/12 = 2 - 2/3 = 4/3. The stored answer 3/2 is incorrect; correct is 4/3.

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