Whenever you see a smiley, click on it! Solving by taking the Solving by Squaring.

Slides:

Advertisements

Similar presentations

We now know that a logarithm is perhaps best understood as being closely related to an exponential equation. In fact, whenever we get stuck in the problems.

Advertisements

Taking a Square Root to Solve an Equation. Solve: In order to solve for x, you have to UNDO the squared first (i.e. square root) What are the number(s)

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.

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

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).

10-3: Solving Quadratic Equations

Solving Quadratic Equations by Completing the Square

Integrated Math III Essential Question What different methods can be used to solve quadratic 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.

Warm Up A dance club charges a $5 cover charge when the regular dj plays. The manager estimates that each $.50 increase in cover charge will decrease.

Solving Quadratic Equations by Completing the Square.

Table of Contents First note this equation has "quadratic form" since the degree of one of the variable terms is twice that of the other. When this occurs,

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

Solving equations Section 1.4.

How do we solve linear inequalities? Do Now: What do you remember about solving quadratic inequalities?

Using square roots to solve quadratic equations. 2x² = 8 22 x² = 4 The opposite of squaring a number is taking its square root √ 4= ± 2.

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.

6.5 SOLVING SQUARE ROOT EQUATIONS REAL-WORLD EXAMPLE.

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.

Solve to find the zeros of y = -0.8x Replace y = 0 Eliminate the constant c by undoing + 84 Divide by the coefficient A on both sides. Undo -0.8.

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

What is the quadratic formula? Do Now: Solve by completing the square x 2 +8x+15=0 I know the quadratic formula, do you?

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.

5.5 Roots of Real Numbers Squares Roots Nth Roots Principal Roots.

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.

One Answer, No Answers, or an Infinite Number of Answers.

Bell Work: Find the equation of the line that passes through the point (2,3) and has a slope of -2/5.

Find the mistake! Here are 10 statements you will have 15 seconds to decide if the statement is right or wrong. List the numbers of the wrong statements.

Completing the Square Be ready to grade the homework!

* Extraneous Solution – a false solution * Today we will learn how to solve a radical equation.

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.

Solving Equations. What are we going to do if we have non-zero values for a, b and c but can't factor the left hand side? This will not factor so we will.

Solving Equations Containing First, we will look at solving these problems algebraically. Here is an example that we will do together using two different.

Solving Quadratic Equations by Factoring. Zero Product Property For any real numbers a and b, if the product ab = 0, then either a = 0, b = 0, or both.

Solving Logarithmic Equations Tuesday, February 9, 2016.

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.

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.

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.

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.

AS Maths Core 1 Solving Quadratic Equations. There are many ways to solve quadratics! Here are the ways we’ll look at today… –Factorising (quickest method,

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

SOLVING RADICAL EQUATIONS WITH EXTRANEOUS SOLUTIONS Unit 2E Day 5.

5.8 Radical Equations and Inequalities

Click here for the answer. Click here for the answer.

Click here for the answer. Click here for the answer.

Click here for the answer. Click here for the answer.

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

Squaring a value and finding its square root is the opposite

Solving Radical Equations

9.2 Solving Quadratic Equations using square roots

Solving Equations by Factoring

SECTION 10-4 : RADICAL EQUATIONS

SECTION 2-4 : SOLVING EQUATIONS WITH THE VARIABLE ON BOTH SIDES

Solving a Radical Equation

Exercise Solve x – 14 = 35. x = 49.

Warm-Up Set 1: Factor. 1) x2 + 6x + 9 2) x2 - 10x + 25 Set 2: Factor.

Solving Quadratic Equations by Finding Square Roots

Warm UP Simplify .

6.6 Solve Radical Equations

Equations Involving Absolute Value

Presentation transcript:

Whenever you see a smiley, click on it!

Solving by taking the Solving by Squaring

REMEMBER!! When you solve a problem by taking the square root of both sides, you will always get TWO ANSWERS!!!

Try Another

When solving an equation by squaring both sides, look for extraneous solutionsextraneous solutions Example CHECKITCHECKIT Since this is a FALSE statement, it is called an extraneous solution Heres a HINT! If my constant is negative, there is NO SOLUTION! Keep clicking on the screen to see the problem unfold. Click on me! Go to another example

Try Another!

Try Another!

What theres more?

Solve each for x. Use the backside of your worksheet to show work and answers. No credit will be given unless work is shown! Im ready for the answers

Click me when you finish! ? ? ? ? ? ? ? ?

Take me back to the answers! Im done now!

Take me back to the answers! Im done now!

Take me back to the answers! Im done now!

Take me back to the answers! Im done now!

Take me back to the answers! Im done now!

Take me back to the answers! Im done now!

Take me back to the answers! Im done now!

Take me back to the answers! Im done now!

CONGRATS! YOURE DONE!