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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Solve xΒ² + 2x - 15 > 0.
π‘ Hint: Find the roots by factoring or using the quadratic formula.
Question 2
Easy
Solve xΒ² - 4x + 4 β€ 0.
π‘ Hint: This one is a perfect 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 form must a quadratic inequality be in to solve it?
- axΒ² + bx + c = 0
- axΒ² + bx + c < 0
- axΒ² + bx + c β₯ 0
π‘ Hint: Remember the structure of quadratic inequalities.
Question 2
True or False: The roots of the quadratic equation do not play a role in analyzing a quadratic inequality.
- True
- False
π‘ Hint: Consider how we determine where solutions lie.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider the inequality 2π₯Β² β 4π₯ + 2 < 0. Analyze the solutions and discuss the implications if the discriminant is zero.
π‘ Hint: Use the discriminant to determine the nature of the roots.
Question 2
A company's profit, expressed as a quadratic function, is modeled by P(x) = -2xΒ² + 12x - 10. Determine the production levels where the profit is greater than zero.
π‘ Hint: Remember to find the roots first, then analyze the interval between them.
Challenge and get performance evaluation