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### Objective

Students will practice evaluating the nature of the roots of a quadratic equation by using the discriminant. 25 question worksheet with answer key.

### Example Questions

Given the graph below determine a) the sign of the discriminant b) the number and nature of the roots.

Find the discriminant to determine the number and nature of the roots of the equation x^{2} + 7x + 6 = 0

Find all the values of a such that ax^{2} + 5x + 3 = 0 has two real roots.