for the given values 3 Sketch the graph for each quadratic No solutions One solution Two solutions Using the Discriminant I can use the discriminant to determine how many solutions a quadratic equation will have ID: 627753
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Slide1
Friday Warm Up!
Evaluate for the given values:
3. Sketch
the graph for each quadratic
No solutions One solution Two solutionsSlide2
Using the Discriminant
I can
use the discriminant to determine how many solutions a quadratic equation will have.Slide3
Discriminant
: The expression under the radical in the quadratic formula that allows you to determine how many solutions you will have before solving it.Using the Discriminant
Quadratic Equations can have two, one, or no solutions.
DiscriminantSlide4
Properties of the Discriminant
2 Real Solutions
1
Real Solution
No Real Solutions
2 Imaginary Solutions
Discriminant is a positive number
Discriminant is zero
Discriminant is a negative number
*If
the discriminant is a perfect square, the two real solutions are
rational.
*
If
the discriminant is not a perfect square, the two real solutions are
irrationalSlide5
Ex. 1
Find the number of solutions of the following.Slide6Slide7