9.5 Solving Quadratic Equations Using the Quadratic Formula · 2018. 5. 9. · 9.5 Solving...

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9.5 Solving Quadratic Equations Using the Quadratic Formula The notorious QUADRATIC FORMULA!!!! != −$ ± $ & − 4() 2( Example 1: Using the Quadratic Formula Solve 2! & − 5! + 3 = 0 using the quadratic formula Example 2: Modeling with mathematics The number y of Northern Rocky Mountain wolf breeding pairs x years since 1990 can be modeled by the function / = 0.20! & + 1.8! − 3. When were there about 35 breeding pairs? The Discriminant $ & − 4() in the quadratic formula is called the discriminant

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Transcript of 9.5 Solving Quadratic Equations Using the Quadratic Formula · 2018. 5. 9. · 9.5 Solving...

9.5SolvingQuadraticEquationsUsingtheQuadraticFormula

ThenotoriousQUADRATICFORMULA!!!!

! = −$ ± $& − 4()2(

Example1:UsingtheQuadraticFormulaSolve2!& − 5! + 3 = 0usingthequadraticformulaExample2:ModelingwithmathematicsThenumberyofNorthernRockyMountainwolfbreedingpairsxyearssince1990canbemodeledbythefunction/ = 0.20!& + 1.8! − 3.Whenwerethereabout35breedingpairs?TheDiscriminant

$& − 4()inthequadraticformulaiscalledthediscriminant

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Example3:Determiningthenumberofrealsolutionsa) Determinethenumberofrealsolutionsof!& + 8! − 3 = 0

b) Determinethenumberofrealsolutionsof9!& + 1 = 6!Example4:FindingtheNumberofx-interceptsofaParabolaFindthenumberofx-interceptsofthegraphof/ = 2!& + 3! + 9.SpiralReview:

Method Advantages DisadvantagesFactoring

Graphing

Usingsquareroots

Completingthesquare

QuadraticFormula

Example5:ChoosingaMethodSolveeachequationusinganymethod.Explainyourchoiceofmethod.

a) !& − 10! = 1Method:_______________

b) 2!& − 13! − 24 = 0Method:_______________

c) !& + 8! + 12 = 0Method:_______________

Homework:5,9,10,15,22,23,25,27,37-43odd,50,62

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Page 5: 9.5 Solving Quadratic Equations Using the Quadratic Formula · 2018. 5. 9. · 9.5 Solving Quadratic Equations Using the Quadratic Formula The notorious QUADRATIC FORMULA!!!! != −$±$&−4()

Page 6: 9.5 Solving Quadratic Equations Using the Quadratic Formula · 2018. 5. 9. · 9.5 Solving Quadratic Equations Using the Quadratic Formula The notorious QUADRATIC FORMULA!!!! != −$±$&−4()

Page 7: 9.5 Solving Quadratic Equations Using the Quadratic Formula · 2018. 5. 9. · 9.5 Solving Quadratic Equations Using the Quadratic Formula The notorious QUADRATIC FORMULA!!!! != −$±$&−4()

1 Topic 7.3.1 The Quadratic Formula. 2 Topic 7.3.1 The Quadratic Formula California Standards: 19.0 Students know the quadratic formula and are familiar.

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9.5 Solving Quadratic Equations Using the Quadratic Formula

Solving Quadratic Equations Using the Quadratic Formula 11.2 1.Solve quadratic equations using the quadratic formula. 2.Use the discriminant to determine.

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