A radical equation is an equation that contains a radical.

Slides:

Advertisements

Similar presentations

Table of Contents Example 1: Solve 3x = 0. Quadratic Equation: Solving by the square root method This method can be used if the quadratic equation.

Advertisements

SQUARE ROOT METHOD. Simplify Radicals A. Single Ex.

Roots of Real Numbers and Radical Expressions. Definition of n th Root ** For a square root the value of n is 2. For any real numbers a and b and any.

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

To solve an equation is to isolate the variable.

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.

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 Equations by Extracting Roots

Solving Equations with Exponents and Radicals Intro to Algebra.

Solving Quadratic Equations – Square Root Method The square root method can be used to solve a quadratic equation that can be set up into the following.

Goal: Solving quadratic equations by finding square roots.

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.

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)

6.5 Solving Square Root and Other Radical Equations p390.

Introduction to Quadratic Equations & Solving by Finding Square Roots Chapter 5.3.

 Quadratic Equations Solve by Completing the Square.

Review of Radicals and Quadratic Equations Lesson 9.1.

Equation y + 5 y + 5 = 20 Expressions

Section 7.3 Solving Radical Equations. A radical equation is an equation in which a variable is under a radical. To solve a radical equation: 1. Isolate.

Derivation of the Quadratic Formula The following shows how the method of Completing the Square can be used to derive the Quadratic Formula. Start with.

Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 1 Chapter 9 Quadratic Equations and Functions.

Simplifying Radical Expressions Simplifying Radicals Radicals with variables.

7.5 Warm-Up Solve. 1. x5/2 = x2/ = 24 x2/3 = 9

Taking the n th Root to Solve Equations Chapter 7.1.

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.

Warm Up for Section 3.3 Factor: (1). x2 – 49 (2). x2 + 6x – 16

Square Roots Unit 1D Day 17. Do Now What are the factors of x ² + 2 x – 3? Solve for x : x ² + 2 x – 3 = 0 What are the x -intercepts of y = x ² + 2 x.

9.1c SKM & PP 1 Quadratic Equations. 9.1c SKM & PP 2 Square Roots: Know Your Squares! Consider this equation: What number(s) could be squared to give.

Deriving the Quadratic Formula. The Quadratic Formula The solutions of a quadratic equation written in Standard Form, ax 2 + bx + c = 0, can be found.

Warm Up Simplify each expression. Assume all variables are positive

Warm Up Finish your test If you already finished, begin looking at 9.1 – Review of Radicals You can start your homework after you have read the section.

How do I use the imaginary unit i to write complex numbers?

Solving Multi-Step Equations Using Inverse Operations.

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.

2.4 – Solving Equations with the Variable on Each Side.

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

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

Algebra 3 Lesson 2.6 Objective: SSBAT solve quadratic equations. Standards: M11.D

Entry Task You are a passenger in a car. You are using a cell phone that connects with the tower shown. The tower has an effective range of 6 miles. If.

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

Quadratic Equation U n i t Solving by taking the Square Root Medina 1.

Quadratic Equation Unit

Pythagorean Theorem.

Roots of Real Numbers and Radical Expressions

Solving Radical Equations

Solving Quadratic Equations by finding Square Roots

3-8 Solving Radical equations

4.5 Solving Quadratic Equations by Finding Square Roots

What is an equation? An equation is a mathematical statement that two expressions are equal. For example, = 7 is an equation. Note: An equation.

Roots of Real Numbers and Radical Expressions

Solving Radical Equations

Review of Radicals and Quadratic Equations

Solving Radical Equations

Notes Over 9.1 Finding Square Roots of Numbers

Do Now: 1. Simplify. 2. What is the index? What is the radicand?

Solving Radical Equations

9.2 Solving Quadratic Equations using square roots

Solving Square Root Equations

SECTION 10-4 : RADICAL EQUATIONS

Solving Equations with Variables on Both Sides

Solving Equations with Variables on Both Sides

Exercise Solve x – 14 = 35. x = 49.

Solving Absolute Value and Radical Equations

Expressions & Equations Jeopardy

Solving Quadratic Equations by Finding Square Roots

Objective Solve radical equations.. Objective Solve radical equations.

Complete the Square January 16, 2017.

Section 5.8 Solving Radical Equations

Presentation transcript:

A radical equation is an equation that contains a radical.

Did you ever notice how much sense mathematical definitions usually make?

The goal in solving radical equations is the same as the goal in solving most equations.

We need to isolate the variable.

But there is only one way to move the variable out from under the square root sign.

We need to square the radical expression.

And, because it is an equation, what we do to one side,

And, because it is an equation, what we do to one side, we have to do to the other.

And now, we need to simplify:

Remember, no matter what n is. (Even if n is an expression)

So we have:

Solve for x: Step 1. Simplify the expression:

Solve for x:

Step 1. Simplify the expression. Step 2. Isolate the radical.

Solve for x:

Step 1. Simplify the expression. Step 2. Isolate the radical. Step 3. Square both sides.

Solve for x:

Step 1. Simplify the expression. Step 2. Isolate the radical. Step 3. Square both sides. Step 4. Solve the equation.

Solve for x:

Try this one: Solve for x: