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Solve using factoring or square root property.

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Presentation on theme: "Solve using factoring or square root property."— Presentation transcript:

1 Solve using factoring or square root property.
Warm-up Solve using factoring or square root property. 𝑚 2 −6𝑚−16=0 6 𝑥 2 −5𝑥=4 𝑚 2 −49=0 2 𝑝 2 −18=0

2 It’s called finding the discriminant.
There is a way to tell how many roots an equation will have. 4.8 It’s called finding the discriminant. The discriminant is a small part of the quadratic formula.

3 Window (Foldable) Notes
Fold your paper over (top to bottom leaving about an inch at the bottom). Positive Zero Negative Discriminant

4 Note: Solutions and roots are the same.
If the answer is POSITIVE, then you will have 2 real roots. If the answer is ZERO, then you will have 1 real root. If the answer is NEGATIVE, then you will have no real roots. Note: Solutions and roots are the same.

5 Determine the number of roots. Example: 1
No Roots

6 Determine the number of roots. Example: 2

7 Determine the number of roots. Example: 3

8 How does the discriminant relate to the graph of a quadratic function?

9 Find the number of x-intercepts. Example: 4
2 ROOTS

10 Find the number of x-intercepts. Example: 5
No x-intercepts No ROOTS

11 Critical Thinking – With a Partner
Why is it not possible for a quadratic equation to have more than two solutions? Determine the value(s) of k for which No real solution One real solution Two real solutions


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