5.1.3 - Numerical Methods for Solving Equations
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Define algebraic equations.
💡 Hint: Think about simple equations with powers of x.
What is the Bisection Method?
💡 Hint: Consider what it means to bisect.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What type of equations do numerical methods typically solve?
💡 Hint: Recall what each type of equation involves.
True or False: The Bisection Method always converges.
💡 Hint: Think about the method's principle.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Given the equation x³ - 5x + 3 = 0, apply the Bisection Method from x = 1 to x = 3 and find the root to three decimal places.
💡 Hint: Calculate the midpoint iteratively and evaluate the function at each midpoint.
Using the Newton-Raphson Method, find the root of the function f(x) = x² - 2 with an initial guess of x₀ = 1.5.
💡 Hint: Remember the formula for the derivative and update accordingly.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.