Quadratic discriminant — true or false?

Exercise and reference answers

Questions

1. Statement is true

   Yes

   Statement

   If discriminant > 0, roots are real and distinct.

2. Statement is true

   Yes

   Statement

   If discriminant = 0, roots are equal.

3. Statement is true

   No

   Statement

   If discriminant < 0, both roots are real.

4. Statement is true

   Yes

   Statement

   Sum of roots of ax² + bx + c = 0 is −b/a.

5. Statement is true

   No

   Statement

   Product of roots is c/b.