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Practice Questions
Test your understanding with targeted questions related to the topic.
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.
Practice 1 more question and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
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.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Using completing the square, find the solutions for the equation 4x² + 8x + 1 = 0.
💡 Hint: Normalize the x² coefficient first!
Question 2
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!
Challenge and get performance evaluation