Discriminant of a Quadratic Equation
Discriminant of a Quadratic Equation
Examine how the discriminant reveals the number of real solutions in a quadratic equation.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Open-ended question 1
What does the graph of a quadratic look like with 2 real solutions? 1 real solution? No real solutions?
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Open-ended question 2
What value(s) of the discriminant result in 2 real solutions? 1 real solution? No real solutions?
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Open-ended question 3
Write a quadratic equation with a discriminant of .
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Open-ended question 4
The discriminant of the equation is . Is this correct? If not, calculate the discriminant of this equation.
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