Discriminant of a Quadratic Equation

Discriminant of a Quadratic Equation

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


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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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