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Discriminant of a Quadratic Equation

Examine how the discriminant reveals the number of real solutions in a quadratic equation.

Task 1

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Task 2

What does the graph of a quadratic look like with 2 real solutions? 1 real solution? No real solutions?

Task 3

What value(s) of the discriminant result in 2 real solutions? 1 real solution? No real solutions?

Task 4

Write a quadratic equation with a discriminant of .

Task 5

The discriminant of the equation is . Is this correct? If not, calculate the discriminant of this equation.