+ All Categories

Home > Documents > 9.3 Solving Quadratic Equations Using Square Roots

9.3 Solving Quadratic Equations Using Square Roots

Date post:	18-Jan-2022
Category:	Documents
Upload:	others
View:	6 times
Download:	0 times

Download Report this document

Share this document with a friend

Embed Size (px):

4

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

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

Recommended

5.3 Solving Quadratic Equations by Finding Square Roots

Visualising the roots of quadratic equations with complex coefficients · 2016-04-05 · Visualising the roots of quadratic equations with complex coefficients The aim of this paper

9.3 Quadratic inequalities in Two Variables

CONFIDENTIAL 1 Solving Quadratic Equations by Using Square Roots Solving Quadratic Equations by Using Square Roots.

9.3 Graphing Quadratic Functions. Quadratic Functions Quadratic functions are functions written in the form Every quadratic function has a U-shaped graph.

9.3 Solving Quadratic Equations UsingSquare Roots · 2017-02-02 · Section 9.3 Solving Quadratic Equations UsingSquare Roots 499 Solving a Quadratic Equation Using Square Roots Solve

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

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

01 02 Common Roots and Signs of the Quadratic Expressions

Quadratic and Exponential Functions - Rock Creek …...• The solutions (the two things that x equals) are called the roots – The roots are the solutions to quadratic equations

Sum and Product of the Roots Quadratic Equations.

9.3 Solving Quadratic Equations by Using the … Quadratic Equations by Using the Quadratic Formula 9.3 9.3 OBJECTIVES 1. Solve a quadratic equation by using the quadratic formula

3.1 Solving Quadratic Equations by Taking Square … · 2015-10-19 · 3.1 Solving Quadratic Equations by Taking Square Roots ... Quadratic Equations When solving a quadratic equation

4.3 Solving Quadratic Equations Using Square Roots

Roots and Coefficients of a Quadratic Equation …...equation with roots 2α and 2β by substituting in y=2x, thus . Example Find a quadratic equation with roots 2α-1 and 2β-1, where

4.5 Solve Quadratic Equations by Finding Square Roots.

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

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