: A reliable, "bracketing" method that repeatedly halves an interval containing the root.
: Since no general algebraic formula exists for quintic equations, a numerical approach like the Newton-Raphson method is used. Numerical Methods Made Easy – Full Course (Part 1) Numerical methods: problems and solutions
: Uses the function's derivative to find better approximations quickly. Its iteration formula is Example Problem : Solve : A reliable, "bracketing" method that repeatedly halves