Discriminant Review Worksheet
This worksheet focuses on understanding and applying the discriminant of quadratic equations to determine the nature of their roots for Grade 11 students.
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Discriminant Review
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Date:
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. What is the discriminant of the quadratic equation 2x² - 5x + 3 = 0?
1
25
-1
49
2. If the discriminant of a quadratic equation is negative, what can be said about its roots?
Two real, distinct roots
One real, repeated root
Two complex conjugate roots
No roots
3. The discriminant is given by the formula Δ = .
4. If the discriminant is equal to zero, the quadratic equation has .
5. A positive discriminant always indicates that a quadratic equation will have two distinct real roots.
True
False
6. The discriminant helps determine the nature of the roots without actually solving the quadratic equation.
True
False
7. Find the value of the discriminant for the equation x² + 6x + 9 = 0. What does this tell you about the roots?
8. For what values of 'k' will the quadratic equation x² - 4x + k = 0 have two distinct real roots?