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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the sum and product of the roots for the equation xΒ² - 7x + 10 = 0?
π‘ Hint: Use the formulas: Sum = -b/a and Product = c/a.
Question 2
Easy
For the quadratic equation 5xΒ² + 20x + 15 = 0, find the sum of the roots.
π‘ Hint: Remember Sum of roots = -b/a; what is -20/5?
Practice 3 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 is the formula for the sum of roots in a quadratic equation?
- Ξ± + Ξ² = b/a
- Ξ± + Ξ² = -b/a
- Ξ± + Ξ² = c/a
π‘ Hint: Think about how the coefficient 'b' is used in the formula.
Question 2
True or False: The product of the roots of the quadratic equation axΒ² + bx + c = 0 is given by c/a.
- True
- False
π‘ Hint: Recall the product of roots relationship.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A quadratic equation has roots that are in the ratio of 2:1. If the sum of the roots is 12, write the equation.
π‘ Hint: Set up a relationship using the given ratio and sum.
Question 2
Determine the quadratic equation if the roots are -3 and 5.
π‘ Hint: Use the reverse of the sum and product formulas to construct the equation.
Challenge and get performance evaluation