This topic focuses on evaluating quadratic discriminants to determine whether a quadratic function will have real roots. Specifically, each problem displays a numerical value for the discriminant and asks students to decide if this value indicates the presence of one or more real roots. It's an introductory level subject, touching on basic aspects of the quadratic formula and discriminants, likely aimed at helping students understand how the discriminant value affects the nature of the roots of quadratic equations.

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

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Quadratic Discriminants - Value to Has Real Roots Worksheet

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Quadratic Discriminants - Value to Has Real Roots
1
A LaTex expression showing \Delta = 16
With this discriminant, would a quadratic function have one or more real roots?
a
Yes
b
No
2
A LaTex expression showing \Delta = 2
With this discriminant, would a quadratic function have one or more real roots?
a
Yes
b
No
3
A LaTex expression showing \Delta = 22
With this discriminant, would a quadratic function have one or more real roots?
a
Yes
b
No
4
A LaTex expression showing \Delta = 20
With this discriminant, would a quadratic function have one or more real roots?
a
Yes
b
No
5
A LaTex expression showing \Delta = 4
With this discriminant, would a quadratic function have one or more real roots?
a
Yes
b
No
6
A LaTex expression showing \Delta = -5
With this discriminant, would a quadratic function have one or more real roots?
a
Yes
b
No
7
A LaTex expression showing \Delta = 0
With this discriminant, would a quadratic function have one or more real roots?
a
Yes
b
No
8
A LaTex expression showing \Delta = 28
With this discriminant, would a quadratic function have one or more real roots?
a
Yes
b
No