This math topic focuses on understanding the relationship between the discriminant of a quadratic equation and the nature of its roots. It involves identifying whether the discriminant indicates two complex roots, two real roots, or exactly one real root. The problems explore how these conditions relate to the discriminant being less than zero, equal to zero, or greater than zero, respectively, enhancing foundational knowledge in solving quadratic equations using discriminants.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

more
View

Quadratic Discriminants - Count of Roots to Greater/Lesser than Zero Worksheet

Mobius Math Academy logo
Quadratic Discriminants - Count of Roots to Greater/Lesser than Zero
1
If a quadratic function has these roots, what is true about its discriminant?
1 real root
a A LaTex expression showing \Delta < 0
b A LaTex expression showing \Delta = 0
c A LaTex expression showing \Delta > 0
2
If a quadratic function has these roots, what is true about its discriminant?
2 complex roots
a A LaTex expression showing \Delta < 0
b A LaTex expression showing \Delta = 0
c A LaTex expression showing \Delta > 0
3
If a quadratic function has these roots, what is true about its discriminant?
2 real roots
a A LaTex expression showing \Delta < 0
b A LaTex expression showing \Delta = 0
c A LaTex expression showing \Delta > 0