Using Newton's Method

Question

With and x₀ = −1 to correctly determine the x₃ approximation of the root of f(x) = x⁵ + x + 1.

Answer 1

x_n+1 = x_n - [(x⁵ + x +1)/(5x⁴ +1)]

x₁ = -1 + (1/6) = -5/6

_{The next steps get pretty messy! Good luck!}