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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find the discriminant of the equation x² - 4x + 4 = 0.
💡 Hint: Calculate D = b² - 4ac.
Question 2
Easy
What type of roots does the equation 2x² + x + 1 have?
💡 Hint: Check the sign of the discriminant.
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
If the discriminant D > 0, how many distinct roots do we have?
- None
- One
- Two
- Three
💡 Hint: Remember the conditions for distinct, equal, or no roots.
Question 2
True or False: The quadratic equation can have more than two roots.
- True
- False
💡 Hint: Consider the definition of a quadratic.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Find k such that the roots of the equation x² + kx + 16 = 0 are equal.
💡 Hint: Substitute into the discriminant formula.
Question 2
Determine if x² + 5x + 6 can be factored into real roots, examine D and solve.
💡 Hint: Evaluate if it can be expressed in factors.
Challenge and get performance evaluation