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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.
Example4:SolvingaReal-LifeProblemAtouchtankhasaheightof3ft.it’slengthisthreetimesitswidth.Thevolumeofthetankis270cubicfeet.Findthelengthandwidthofthetank.
Example5:RearrangingandEvaluatingaFormula.
TheareaAofanequilateraltrianglewithsidelengthssisgivenbytheformula. = /0 1
#.Solvetheformulafors.Thenapproximatethesidelengthofthetrafficsignthathasanareaof390squareinches.Homework:3-29odd,32,34,36,39