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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Complete the square for x^2 + 8x + 12 = 0.
💡 Hint: Remember to find half of the x term's coefficient.
Question 2
Easy
Rewrite x^2 - 10x as a complete square.
💡 Hint: Use (b/2)^2 to complete the square.
Practice 4 more questions 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?
- Add the constant to both sides
- Isolate the x^2 term
- Divide by the coefficient of x^2
💡 Hint: Think about the standard form of a quadratic.
Question 2
True or False: Completing the square always makes solving quadratic equations easier.
- True
- False
💡 Hint: Consider the advantages of different methods.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Solve the following equation by completing the square: 2x^2 + 8x + 6 = 0.
💡 Hint: Don't forget to divide by 2 first!
Question 2
Complete the square for 4x^2 - 24x + 12 = 0 and solve.
💡 Hint: Start by factoring out the 4!
Challenge and get performance evaluation