9.3 Solving Quadratic Equations Using Square Roots

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9.3 Solving Quadratic Equations Using Square Roots We have learned to solve quadratic equations by graphing and factoring, in this lesson we will be learning to solve quadratic equations using square roots. Example 1: Solving Quadratic Equations Using Square Roots Solve the following: a) 3" # − 27 = 0 b) " # − 10 = −10 c) −5" # + 11 = 16 Example 2: Solving Quadratic Equations Using Square Roots Solve the following: (Graph to check your solution) "−1 # = 25 Example 3: Approximating Solutions of a Quadratic Equation. Solve the following. Round to the nearest hundredth. 4" # − 13 = 15 Try on your own. Solve the following using square roots.

Transcript of 9.3 Solving Quadratic Equations Using Square Roots

Page 1: 9.3 Solving Quadratic Equations Using Square Roots

9.3SolvingQuadraticEquationsUsingSquareRootsWehavelearnedtosolvequadraticequationsbygraphingandfactoring,inthislessonwewillbelearningtosolvequadraticequationsusingsquareroots.Example1:SolvingQuadraticEquationsUsingSquareRootsSolvethefollowing:

a) 3"# − 27 = 0 b)"# − 10 = −10 c)−5"# + 11 = 16Example2:SolvingQuadraticEquationsUsingSquareRootsSolvethefollowing:(Graphtocheckyoursolution)

" − 1 # = 25Example3:ApproximatingSolutionsofaQuadraticEquation.Solvethefollowing.Roundtothenearesthundredth.

4"# − 13 = 15Tryonyourown.Solvethefollowingusingsquareroots.

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Example4:SolvingaReal-LifeProblemAtouchtankhasaheightof3ft.it’slengthisthreetimesitswidth.Thevolumeofthetankis270cubicfeet.Findthelengthandwidthofthetank.

Example5:RearrangingandEvaluatingaFormula.

TheareaAofanequilateraltrianglewithsidelengthssisgivenbytheformula. = /0 1

#.Solvetheformulafors.Thenapproximatethesidelengthofthetrafficsignthathasanareaof390squareinches.Homework:3-29odd,32,34,36,39

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Chapter 4.5 Solve Quadratic Equations by Finding Square Roots

Chapter 4.5 Solve Quadratic Equations by Finding Square Roots

9.3 Solving Quadratic Equations Using Square Rootsmathwithborg.weebly.com/.../9/8/109847358/alg1_pe_09_03.pdf · 2019. 4. 26. · Section 9.3 Solving Quadratic Equations Using Square

9.3 Solving Quadratic Equations Using Square Rootsmathwithborg.weebly.com/.../9/8/109847358/alg1_pe_09_03.pdf · 2019. 4. 26. · Section 9.3 Solving Quadratic Equations Using Square

9.3 Square Roots Essential Questions: How do you find square roots? How do you estimate square roots?

9.3 Square Roots Essential Questions: How do you find square roots? How do you estimate square roots?

Quadratic Equations, Solving a Quadratic Equation by factorization by graphical method by taking square roots by quadratic equation.

Quadratic Equations, Solving a Quadratic Equation by factorization by graphical method by taking square roots by quadratic equation.

9.3: SOLVING QUADRATIC EQUATIONS:

9.3: SOLVING QUADRATIC EQUATIONS:

Created by Mr. Lafferty Finding roots graphically Finding roots by factorising Finding roots using formula Solving Quadratic Int.

Created by Mr. Lafferty Finding roots graphically Finding roots by factorising Finding roots using formula Solving Quadratic Int.

· Web view2016/08/16 · Chapter 16.2, part 1: Solving Quadratic Functions by Square Roots (Imaginary #s) Solving Quadratic Equations by SQUARE ROOTS * Square Root Property – To

· Web view2016/08/16 · Chapter 16.2, part 1: Solving Quadratic Functions by Square Roots (Imaginary #s) Solving Quadratic Equations by SQUARE ROOTS * Square Root Property – To

9.3 Solving Quadratic Equations Using Square Roots€¦ · Section 9.3 Solving Quadratic Equations Using Square Roots 499 Solving a Quadratic Equation Using Square Roots Solve (x

9.3 Solving Quadratic Equations Using Square Roots€¦ · Section 9.3 Solving Quadratic Equations Using Square Roots 499 Solving a Quadratic Equation Using Square Roots Solve (x

9.6 Solving Quadratic Equations by Using Square Roots

9.6 Solving Quadratic Equations by Using Square Roots

Solve quadratic equations using the Quadratic Formula. Classify roots using the discriminant.

Solve quadratic equations using the Quadratic Formula. Classify roots using the discriminant.

9.3 Solving Quadratic Equations by Completing the … Chapter 9 Solving Quadratic Equations Solving Quadratic Equations by Completing the Square 9.3 How can you use “completing the

9.3 Solving Quadratic Equations by Completing the … Chapter 9 Solving Quadratic Equations Solving Quadratic Equations by Completing the Square 9.3 How can you use “completing the

Ron Larson Laurie Boswell - NGL · 9.2 Solving Quadratic Equations by Graphing 9.3 Solving Quadratic Equations Using Square Roots 9.4 Solving Quadratic Equations by ... use Laurie’s

Ron Larson Laurie Boswell - NGL · 9.2 Solving Quadratic Equations by Graphing 9.3 Solving Quadratic Equations Using Square Roots 9.4 Solving Quadratic Equations by ... use Laurie’s

Square Roots and Quadratic Functions - Sine of Madnesssineofmadness.weebly.com/.../square_roots_and_quadratic_function… · Square Roots and Quadratic Functions ... • Solving Quadratic

Square Roots and Quadratic Functions - Sine of Madnesssineofmadness.weebly.com/.../square_roots_and_quadratic_function… · Square Roots and Quadratic Functions ... • Solving Quadratic

Quadratic Equationtuitionwithjason.sg/wp-content/uploads/2018/09/A-Math-Formula-List... · Quadratic Equation b2 - 4ac > 0 Real and Distinct Roots / Unequal Roots b2 - 4ac = 0

Quadratic Equationtuitionwithjason.sg/wp-content/uploads/2018/09/A-Math-Formula-List... · Quadratic Equation b2 - 4ac > 0 Real and Distinct Roots / Unequal Roots b2 - 4ac = 0

Quadratics - Salford · 2015. 9. 4. · Section 2: Solving Quadratic Equations 6 2. Solving Quadratic Equations Factorising a quadratic expression and finding the roots of a quadratic

Quadratics - Salford · 2015. 9. 4. · Section 2: Solving Quadratic Equations 6 2. Solving Quadratic Equations Factorising a quadratic expression and finding the roots of a quadratic

Square Roots and Quadratic Functions - Sine of Madness · Square Roots and Quadratic Functions Interactive Math Notebook Activities and Scaffolded Notes • Square Numbers and Square

Square Roots and Quadratic Functions - Sine of Madness · Square Roots and Quadratic Functions Interactive Math Notebook Activities and Scaffolded Notes • Square Numbers and Square

9.3 Solving Quadratic Equations Using Square Roots...Solving Quadratic Equations Using Square Roots 9.3 hhsnb_alg1_pe_0903.indd 497snb_alg1_pe_0903.indd 497 22/5/15 8:58 AM/5/15 8:58

9.3 Solving Quadratic Equations Using Square Roots...Solving Quadratic Equations Using Square Roots 9.3 hhsnb_alg1_pe_0903.indd 497snb_alg1_pe_0903.indd 497 22/5/15 8:58 AM/5/15 8:58

9.3 Solving Quadratic Equations Using Square Roots · Section 9.3 Solving Quadratic Equations Using Square Roots 497 EEssential Questionssential Question How can you determine the

9.3 Solving Quadratic Equations Using Square Roots · Section 9.3 Solving Quadratic Equations Using Square Roots 497 EEssential Questionssential Question How can you determine the

SWBAT: Solve quadratic equations with complex roots. · 2013. 12. 2. · SWBAT: Solve quadratic equations with complex roots. 𝒙+ ∙𝒙 𝒙 + 𝒙+ 𝒙 ∙ =2 1 ∙ 𝒙 𝒙

SWBAT: Solve quadratic equations with complex roots. · 2013. 12. 2. · SWBAT: Solve quadratic equations with complex roots. 𝒙+ ∙𝒙 𝒙 + 𝒙+ 𝒙 ∙ =2 1 ∙ 𝒙 𝒙

9.3 Solving Quadratic Equations by Completing the Squaremrskemners.weebly.com/uploads/4/6/7/0/4670766/9.3.pdf · Section 9.3 Solving Quadratic Equations by Completing the Square 469

9.3 Solving Quadratic Equations by Completing the Squaremrskemners.weebly.com/uploads/4/6/7/0/4670766/9.3.pdf · Section 9.3 Solving Quadratic Equations by Completing the Square 469