Practice - Case 2: Perfect Square
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Practice Questions
Test your understanding with targeted questions
Solve the inequality (𝑥-1)² < 0. What do you conclude?
💡 Hint: Think about the nature of squares.
Is (𝑥+3)² ≥ 0 true for all values of 𝑥? Explain why.
💡 Hint: Recall basic properties of squares.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
If a quadratic expression is a perfect square, it can only be equal to zero at how many points?
💡 Hint: Remember the definition of a perfect square.
True or False: The inequality (𝑥−2)² can be negative.
💡 Hint: Reflect on the properties of squares.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Prove whether the inequality (𝑥−3)² < 4 holds for any value of x.
💡 Hint: How does a perfect square relate to the boundaries you compute?
For the inequality (𝑥−1)² > 9, determine the values for x.
💡 Hint: Visualize both sides of the square to find your answers!
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