Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
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 related to the topic.
Question 1
Easy
What is the discriminant of the equation r² − 5r + 6 = 0?
💡 Hint: Calculate using D = b² - 4ac.
Question 2
Easy
List the general form of the solution for distinct roots.
💡 Hint: Consider the forms based on the root types.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does a positive discriminant indicate about the roots of a quadratic equation?
- True
- False
💡 Hint: Think about how the discriminant is calculated.
Question 2
Which condition indicates a case with distinct roots?
- D < 0
- D = 0
- D > 0
💡 Hint: Recall the formula for the discriminant.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A second-order differential equation y'' + 4y' + 5y = 0 has roots that are not distinct. Solve for the roots and find the general solution.
💡 Hint: Determine the discriminant and use complex root formulas.
Question 2
Given y'' - 7y' + 10y = 0, find the general solution and use initial conditions y(0)=2, y'(0)=5 to find specific values for constants.
💡 Hint: Utilize initial conditions to form a system of equations.
Challenge and get performance evaluation