Practice - Special Cases
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Practice Questions
Test your understanding with targeted questions
Identify if the inequality x² + 2x + 3 < 0 has real roots.
💡 Hint: Calculate the discriminant.
Is the expression (x - 4)² ≥ 0 always true?
💡 Hint: Remember squares are always greater than or equal to zero.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What happens when the discriminant is negative in a quadratic inequality?
💡 Hint: Remember to consider the value of the discriminant.
A perfect square expression like (x - 3)² means what regarding its values?
💡 Hint: Think about the nature of squares.
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Challenge Problems
Push your limits with advanced challenges
Given the inequality 2x² - 8x + 6 < 0, determine its roots and analyze the sign of the expression.
💡 Hint: Use the quadratic formula or factoring to find the roots.
Determine if the quadratic inequality (x + 4)² < 0 has any solutions.
💡 Hint: Reflect on the properties of perfect squares.
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Reference links
Supplementary resources to enhance your learning experience.