Mon 1/11 Lesson 6 – 5 Learning Objective: To solve square root equations Hw: Lesson 6 – 5 WS 1.

Slides:

Advertisements

Similar presentations

Solving Radical Equations and Inequalities 5-8

Advertisements

Remember! For a square root, the index of the radical is 2.

Radical Equations: KEY IDEAS An equation that has a radical with a variable under the radicand is called a radical equation. The only restriction on to.

Ch 10.3 Solving Radical Equations Objective: To solve equations involving square roots (and equations involving perfect squares).

Solving Radical Equations

Lesson 13.4 Solving Radical Equations. Squaring Both Sides of an Equation If a = b, then a 2 = b 2 Squaring both sides of an equation often introduces.

Solve an equation with an extraneous solution

Objectives: 1.Be able to solve a radical equation. 2.Be able to solve an equation that contains a rational exponent. Critical Vocabulary: Rational Exponents,

Warm-up Find the domain and range from these 3 equations.

Solving Radical Equations

Final Exam Review Pages 4-6  Inverses  Solving Radical Equations  Solving Radical Inequalities  Square Root (Domain/Range)

Solving equations Section 1.4.

Solving Equations with Exponents and Radicals Intro to Algebra.

Solve an equation with an extraneous solution

x x x < 1or x < 3 x < 3.

Feb 9 and 10 Solving Square Root Equations. A radical equation is an equation that has a variable in a radicand (or a variable with a fractional exponent)

ALGEBRA 2H12/5/ Solving Radical Equations LEARNING TARGET: I can use inverse operations to solve radical equations… so that I can solve problems.

6.5 Solving Square Root and Other Radical Equations p390.

Unit 7 Quadratics Radical Equations Goal: I can solve simple radical equations in one variable (A-REI.2)

Solving One Step Equations Notes and Practice Problems.

Lesson 1-8 Solving Addition and Subtraction Equations.

Solving Radical Equations Chapter 7.6. What is a Radical Equation? A Radical Equation is an equation that has a variable in a radicand or has a variable.

Get radical alone. 5 Tues 1/12 Lesson 6 – 5 Learning Objective: To solve radical equations Hw: Lesson 6 – 5 WS 2.

+ 2 –10 –3 –5 2 ( )( ) – 5 Check using FOIL ( )( ) Factor If you factor out a GMF: before using the X figure, keep it, after using the.

1 7.5 Solving Radical Equations. 2 What is a radical equation? A radical equation is an equation that has a variable under a radical or that has a variable.

Section P7 Equations. Solving Rational Equations.

A radical equation is an equation that contains a radical. BACK.

7.5 Solving Radical Equations. What is a Radical Equation? A Radical Equation is an equation that has a variable in a radicand or has a variable with.

Radical Equation Equation with a variable under radical sign Extraneous Solutions: Extra solutions that do not satisfy original equation because of the.

4.3 Notes : Solving Radical Equations A radical equation is an equation that contains a variable under a radical symbol The parent radical function is.

Warm-Up Find the inverse: 1.3y = 12x f(x) = ½x + 8.

5-8 RADICAL EQUATIONS & INEQUALITIES Objectives Students will be able to: 1) Solve equations containing radicals 2) Solve inequalities containing radicals.

7.5a Solving Radical Equations. Radical Equations To solve a radical equation 1.Isolate the radical completely 2.Raise both sides to the power of the.

IT’S RADICAL!! SOLVING RADICAL EQUATIONS. SIMPLE RADICAL EQUATIONS – FIRST STEPS GIVEN: 1.Make sure the radical is on one side of the equation and the.

x + 5 = 105x = 10  x = (  x ) 2 = ( 5 ) 2 x = 5 x = 2 x = 25 (5) + 5 = 105(2) = 10  25 = 5 10 = = 10 5 = 5.

Solving Radical Equations Steps Examples. Solving an Equation Containing a Radical  Steps  Isolate the radical  Take BOTH sides to the power.

Warm – up #6 Warm – up #6 Solutions x x x < 1or x < 3 x < 3.

Algebra 2 Solving Radical Equations Section 7-5 Solving Square Root and Other Radical Equations Lesson 7-5.

Holt Algebra Solving Radical Equations Warm Up(Add to Hw) Solve each equation. 1. 3x +5 = x + 1 = 2x – (x + 7)(x – 4) = 0 5. x 2.

Add ___ to each side. Example 1 Solve a radical equation Solve Write original equation. 3.5 Solve Radical Equations Solution Divide each side by ___.

5.8 Radical Equations and Inequalities

6.5 Solving Radical Equations & Inequalities

Solving Two-Step Equations

Essential Questions Solving Radical Equations and Inequalities

Solving Equations by Factoring and Problem Solving

Essential Questions Solving Radical Equations and Inequalities

3-8 Solving Radical equations

6.4 Solving Radical Equations

Getting the radical by itself on one side of the equation.

Solving Radical Equations

7.5 Solving Radical Equations

Warm Up Solve each equation

Squaring a value and finding its square root is the opposite

Solving Radical Equations

I can solve radical equations and identify extraneous solutions

SECTION 10-4 : RADICAL EQUATIONS

2.1 Solving Radical Equations

Solving Radical Equations

Solving a Radical Equation

Solving Equations with Variables on Both Sides

Solving Equations with Variables on Both Sides

P Solving Square Roots and

Solving Radical Equations

Bellwork. Bellwork Equations with radicals that have variables in their radicands are called radical equations. An example of a radical equation is.

12.3 Solving Radical Equations

6-7: Solving Radical Equations

Exercise Solve x – 14 = 35. x = 49.

Warm UP Simplify .

Section 5.8 Solving Radical Equations

Equations Involving Absolute Value

Presentation transcript:

Mon 1/11 Lesson 6 – 5 Learning Objective: To solve square root equations Hw: Lesson 6 – 5 WS 1

Algebra II

 To solve square root equations  To solve radical equations

 Get radical alone  OR get one radical on each side of =  “Undo” the radical  May have the “undo” more than one radical  Solve for the variable  Plug back into ORIGINAL equation to check for EXTRANEOUS SOLUTIONS!

x + 3 = 8 x = 5 Or x + 3 = -8 x = -11 MUST BOTH!

x + 1 = 8 x = 7 OR x + 1 = -8 x = -9