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.

Slides:

Advertisements

Similar presentations

Solving Rational Equations and Inequalities

Advertisements

ABSOLUTE VALUE PROPERTIES Solved by using the definitions Graphing techniques are also an important part! GO JAGUARS!!! There are two answers to most.

Table of Contents First, isolate the term containing the radical. Equation Containing Radicals: Solving Algebraically Example 1 (one radical): Solve Next,

7.8 Equations Involving Radicals. Solving Equations Involving Radicals :  1. the term with a variable in the radicand on one side of the sign.  2. Raise.

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.

Other types of Equations Polynomial Equations. Factoring Solve.

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

Chapter 2: Equations and Inequalities 2.4: Other Types of Equations

Solving Radical Equations

Solving Equations Containing To solve an equation with a radical expression, you need to isolate the variable on one side of the equation. Factored out.

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

Section 7.6 Solving Radical Equations  The Power Principle for Equations If A = B then A n = B n  The Danger in Solving an Equivalent Equation  Equations.

Solving Radical Equations Module 14 Topic 4.

Solving equations Section 1.4.

Solve an equation with an extraneous solution

Chapter 1 - Fundamentals Equations. Definitions Equation An equation is a statement that two mathematical statements are equal. Solutions The values.

6.6 Solving Radical Equations. Principle of power: If a = b then a n = b n for any n Question: Is it also true that if a n = b n then a = b? Explain in.

Solving Quadratic Equations – Part 1 Methods for solving quadratic equations : 1. Taking the square root of both sides ( simple equations ) 2. Factoring.

Section 7.6 Solving Radical Equations. Key Ideas How do you: Un-Square Something?  Square-Root it! Un Cube Something?  Cube-Root it! Un-Square-Root.

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

1.5 – Day 1 Equations.

1.7 “Absolute Value” Absolute Value is always positive!! 7 = 7-7 = 7 **When solving equations or inequalities, you MUST set up 2 separate problems, one.

The Quadratic Formula Students will be able to solve quadratic equations by using the quadratic formula.

Exploring Polynomials and Radical Expressions Advanced Algebra Chapter 5.

Math 20-1 Chapter 5 Radical Expressions and 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.

Solving Radical Inequalities. Solving radical inequalities is similar to solving rational equations, but there is one extra step since we must make sure.

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

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

+ 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.

Essential Question: What must you do to find the solutions of a rational equation?

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.

1 of 8 Algebra 1 Chapter 11 Section 3 Chapter 11 Sec 3 Radical Equations.

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.

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.

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.

11.3 Solving Radical Equations Definitions & Rules Simplifying Radicals Practice Problems.

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

5-8 Radical Equations and Inequalities Objectives Students will be able to: 1)Solve equations containing radicals 2)Solve inequalities containing radicals.

Algebra-2 Section 6-6 Solve Radical Functions. Quiz Are the following functions inverses of each other ? (hint: you must use a composition.

Topic VIII: Radical Functions and Equations 8.1 Solving Radical Equations.

5.8 Radical Equations and Inequalities

6.5 Solving Radical Equations & Inequalities

Algebra Bell-work 9/13/17 Turn in your HW! 1.) 7x – 6 = 2x + 9

Solving Using Quadratic Equations

Solving Equations Containing

Solving Equations Containing

Section 5.3 Solving Radical Functions

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

Solving Equations Containing

Pre-calc w-up 10/21 simplify.

Ex. 1 Solve by factoring. 2x2 + 9x + 7 = 0 6x2 – 3x = 0

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

Solving Square Root and Other Radical Equations

Solving Radical Equations

Solving a Radical Equation

Exercise Solve x – 14 = 35. x = 49.

Aim: How do we solve radical equations?

Example 1: Solving Rational Equations

Warm UP Simplify .

Solving Equations Containing

Solving Square Root and Other Radical Equations

Presentation transcript:

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 regular numbers are on the other side. 2.Square BOTH sides to remove the radical.

YOU TRY!!

SLIGHTLY MORE COMPLICATED Same rules: GIVEN: 1.Make sure radical is on one side and regular numbers are on the other side. 2.Square both sides and solve.

YOU TRY!

YOU TRY AGAIN…

WHAT IF THERE IS A COEFFICIENT ON THE RADICAL?

WHAT IF THE RADICAL ISN’T A SQUARE ROOT?

WHAT IF THERE ARE RADICALS ON BOTH SIDES?

YOU HAVE TO CHECK YOUR ANSWERS Sometimes you get an EXTRANEOUS solution. That means you can get something for an answer algebraically that will NOT work when you plug it back in. Check out the previous problem. The answer is -3, but when you plug it back in to the ORIGINAL equation you get: Hmmm….We don’t take square roots of negative numbers…yet. Therefore… -3 is EXTRANEOUS.

YOU TRY!! CHECK: Because there is a negative number under the radical, the solution is EXTRANEOUS. Your answer is NO REAL SOLUTION.

YOU TRY AGAIN CHECK: Because this is a true statement and the answer is a REAL number, your answer of x = 15 is good.

YOU TRI (HAHA—3 RD PROBLEM) 1. ANSWER: CHECK: NO REAL SOLUTION – a positive square root cannot equal a negative number. WHEN YOU ARE GIVEN A RADICAL, YOU ARE ALSO GIVEN THE SIGN. THESE HAVE TO MATCH UP.

DID I MENTION? WHEN YOU ARE GIVEN A RADICAL, YOU ARE ALSO GIVEN THE SIGN. THESE HAVE TO MATCH UP. IT IS IMPORTANT!!

FINALLY…THE LAST ONE 2. ANSWER: Check: NO REAL SOLUTION because the square root of a negative number is not a real number.