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.

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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.

Page 2: 9.3 Solving Quadratic Equations Using Square Roots

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

Example5:RearrangingandEvaluatingaFormula.

TheareaAofanequilateraltrianglewithsidelengthssisgivenbytheformula. = /0 1

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

Page 3: 9.3 Solving Quadratic Equations Using Square Roots

Page 4: 9.3 Solving Quadratic Equations Using Square Roots

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