Practice - Example 2: Solve 2π₯Β² β 8π₯ + 6 β₯ 0
Enroll to start learning
Youβve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Solve xΒ² + 2x - 15 > 0.
π‘ Hint: Find the roots by factoring or using the quadratic formula.
Solve xΒ² - 4x + 4 β€ 0.
π‘ Hint: This one is a perfect square.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What form must a quadratic inequality be in to solve it?
π‘ Hint: Remember the structure of quadratic inequalities.
True or False: The roots of the quadratic equation do not play a role in analyzing a quadratic inequality.
π‘ Hint: Consider how we determine where solutions lie.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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.
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.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.