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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
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