Practice - Solving the Quadratic
Enroll to start learning
You’ve 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
Factor the equation: x² - 8x + 16 = 0.
💡 Hint: Look for numbers that multiply to +16 and add to -8.
What are the roots of x² + 2x - 15 = 0?
💡 Hint: Factor to find (x - 3)(x + 5) = 0.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the quadratic formula?
💡 Hint: Remember it’s derived from the general form of the quadratic equation.
True or False: The discriminant can be negative, indicating complex roots.
💡 Hint: Think about the implications of the square root of a negative number.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Prove that the roots of the quadratic equation ax² + bx + c = 0 can be expressed using the quadratic formula. Derive it step by step.
💡 Hint: Focus on isolating x by removing the constant term and completing the square.
An object thrown in the air follows a quadratic path. If its height in meters is represented by h(t) = -5t² + 20t + 2. Find the time at which the object hits the ground.
💡 Hint: Remember that time cannot be negative; discard any non-physical solutions.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.