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Test your understanding with targeted questions related to the topic.
Question 1
Easy
Identify if the inequality x² + 2x + 3 < 0 has real roots.
💡 Hint: Calculate the discriminant.
Question 2
Easy
Is the expression (x - 4)² ≥ 0 always true?
💡 Hint: Remember squares are always greater than or equal to zero.
Practice 4 more questions and get performance evaluation
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What happens when the discriminant is negative in a quadratic inequality?
💡 Hint: Remember to consider the value of the discriminant.
Question 2
A perfect square expression like (x - 3)² means what regarding its values?
💡 Hint: Think about the nature of squares.
Solve and get performance evaluation
Push your limits with challenges.
Question 1
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.
Question 2
Determine if the quadratic inequality (x + 4)² < 0 has any solutions.
💡 Hint: Reflect on the properties of perfect squares.
Challenge and get performance evaluation