Practice Completing The Square Method (2.2) - Quadratic Equations - IB 10 Mathematics – Group 5, Algebra
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Completing the Square Method

Practice - Completing the Square Method

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.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Solve x² + 4x + 4 = 0 by completing the square.

💡 Hint: Start by rewriting the equation and moving the constant to the right.

Question 2 Easy

Complete the square for the equation x² + 8x + 12 = 0.

💡 Hint: Focus on forming a perfect square trinomial.

1 more question available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the first step in completing the square?

Move the constant to the other side
Factor the quadratic
Use the quadratic formula

💡 Hint: Think about what needs to stay on one side.

Question 2

Completing the square is used to find what?

True
False

💡 Hint: Consider the ultimate aim of solving the quadratic.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Using completing the square, find the solutions for the equation 4x² + 8x + 1 = 0.

💡 Hint: Normalize the x² coefficient first!

Challenge 2 Hard

Formulate a quadratic equation from the roots of 2 and -3 using the completing the square method.

💡 Hint: Remember how to construct from given roots!

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.