GATE 2020 PI – Question 14

Engineering Mathematics · Numerical Methods · 1 mark · Multiple choice

Use one Newton–Raphson iteration for x²−2=0 from x₀=1.0. Find x₁.

Show answer and explanation

Correct answer: (C) 1.5

Explanation

Newton’s formula is x₁=x₀−f(x₀)/f′(x₀). At1, f=−1 and f′=2, so x₁=1−(−1)/2=1.5, C. This is one iterate, not the fully converged square root.

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