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.