9) Consider the nonlinear equation (x - 1)(x-2)³ = 0. Use the modifiedNewton's method used for computing a root whose multiplicity is knownand compute r₁ and r2 with ro = 2.25. Then x1 + x₂ =Hint: The iterative sequence converges to the root r = 2.]

The equation is (x-1)(x-2)3 = 0. Clearly, it's roots are 1 (with multiplicity 1) and 2 (with…

Answered: 9) Consider the nonlinear equation (x -…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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9) Consider the nonlinear equation (x - 1)(x-2)³ = 0. Use the modified Newton's method used for computing a root whose multiplicity is known and compute ₁ and ₂ with o = 2.25. Then x1 + x^₂ = [Hint: The iterative sequence converges to the root r = 2.]