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The Newton-Raphson method is used to find the root of \[ f(x) \equiv x^2 - x - 1 = 0 \] Starting with an initial guess \( x_0 = 1 \), the second iterate \( x_2 \) is _______ (rounded off to 2 decimal places).
  • GATE CH - 2025
  • GATE CH
  • Mechanical Engineering
  • Numerical Methods

The Newton-Raphson method is used to find the root of \[ f(x) \equiv x^2 - x - 1 = 0 \] Starting with an initial guess \( x_0 = 1 \), the second iterate \( x_2 \) is __________ (rounded off to 2 decimal places).

  • GATE CH - 2025
  • GATE CH
  • Mechanical Engineering
  • Numerical Methods