10. The equation 2x³ + x² - 1 = 0 has exactly one real root.(a) Show that, for this equation, the Newton-Raphson formula can be written4x³ + x² + 1ηXn+1 =6x2 + 2xnUsing the formula given in part (a) with x₁(b) find the values of x2 and x3(c) Explain why, for this question, the Newton-Raphson method cannot be used withx₁ = 0.2-1

Answered: Image /qna-images/answer/f2394aa2-c91c-4808-a590-ce6d1b16b864.jpg

10. The equation 2x³ + x² - 1 = 0 has exactly one real root. (a) Show that, for this equation, the Newton-Raphson formula can be written Xn+1 = 4x2 + x² + 1 6x2 + 2xn Using the formula given in part (a) with ₁ = 1 (b) find the values of x2 and 3 (c) Explain why, for this question, the Newton-Raphson method cannot be used with r.

10. The equation 2x³ + x² - 1 = 0 has exactly one real root. (a) Show that, for this equation, the Newton-Raphson formula can be written Xn+1 = 4x2 + x² + 1 6x2 + 2xn Using the formula given in part (a) with ₁ = 1 (b) find the values of x2 and 3 (c) Explain why, for this question, the Newton-Raphson method cannot be used with r.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.3: Quadratic Equations

Problem 81E

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