Practice - Applications in Real Life
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Practice Questions
Test your understanding with targeted questions
Write the quadratic equation for a rectangle with an area of 50 m², where the length is 2 m more than the width.
💡 Hint: Set width as x and then express length in terms of width.
What are the roots of the equation x² - 9 = 0?
💡 Hint: Factor the equation to find solutions.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following is an application of quadratic equations?
💡 Hint: Think about different applications you’ve learned.
True or False: Quadratic equations can help in optimizing profit.
💡 Hint: Recall discussions about maximizing profits in businesses.
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Challenge Problems
Push your limits with advanced challenges
A car's trajectory is modeled by the equation h(t) = -5t² + 20t + 15. Determine the time it will take to hit the ground and the maximum height.
💡 Hint: Use the quadratic formula for roots and vertex formula for max height.
A rectangular area has a length 3 times its width. If the area is 72 m², find the width and length.
💡 Hint: Express all in terms of x, and rearrange into standard form.
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Reference links
Supplementary resources to enhance your learning experience.