Example Example 2 - Extraneous Solution.

Slides:



Advertisements
Similar presentations
Warm-Up  |x |=3  |x |= -7  |2x |=10  |x+3 |=6.
Advertisements

Solve an absolute value inequality
EXAMPLE 1 Solve a simple absolute value equation Solve |x – 5| = 7. Graph the solution. SOLUTION | x – 5 | = 7 x – 5 = – 7 or x – 5 = 7 x = 5 – 7 or x.
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.
Ch 10.3 Solving Radical Equations Objective: To solve equations involving square roots (and equations involving perfect squares).
Ch 8 - Rational & Radical Functions 8.5 – Solving Rational Equations.
Chapter 2: Equations and Inequalities 2.4: Other Types of Equations
2.8 - Solving Equations in One Variable. By the end of today you should be able to……. Solve Rational Equations Eliminate Extraneous solutions Solve Polynomial.
Inequalities What are the meanings of these symbols?
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.
How do I solve absolute value equations and inequalities?
Absolute Value Equalities and Inequalities Absolute value: The distance from zero on the number line. Example: The absolute value of 7, written as |7|,
Solving equations Section 1.4.
4.2 Solving Rational Equations 1/30/2013. Vocabulary Rational Equation: Equation that shows two rational expressions or fractions are equal. Example:
Solving Absolute Value Equations and Inequalities.
Expressions, Equations and Inequalities Ch. 1.6 Absolute Value Equations and Inequalities EQ: How can you solve absolute value equations and inequalities?
Rational Equations Section 8-6.
Inequalities Symbols and line graphs. Symbols  < is less than  > is greater than  < is less than or equal to  > is greater than or equal to points.
1.6 Absolute Value Equations and Inequalities. Solving an Absolute Value Equation What is the solution of | 2x – 1 | = 5? Graph the solution. | 2x – 1.
1.7 – Solve Absolute Value Equations and Inequalities Recall that the absolute value of a number x, written |x|, is the distance the number is from 0 on.
3.7 Absolute value DAY 2. Solve for x----no notes on this slide (just watch). |x| = 5 |x + 2| = 5 x = 5 or x = -5 x + 2 = 5 or x + 2 = -5 x =
Holt McDougal Algebra 2 Solving Rational Equations and Inequalities Solving Rational Equations and Inequalities Holt Algebra 2Holt McDougal Algebra 2.
A radical equation is an equation that contains a radical. BACK.
Warm Up  Solve the equation or inequality.  1.) 3x + 15 = -42  2.) 5x – 8 ≤ 7  3.) 2x
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.
NUMBER SENTENCES 6.7.
Write in logarithmic form Write in exponential form Write in exponential form Math
Algebra 2 Chapter 1 Review.
Equations and Inequalities. Unit 8 – Solving Inequalities.
Absolute Value Equations and Inequalities
Copyright © 2011 Pearson Education, Inc.
Absolute Value Equations
SOLVING ABSOLUTE-VALUE EQUATIONS
Solving and Graphing Absolute Value Inequalities
5.8 Radical Equations and Inequalities
Checking Possible Solutions
2.4 & 2.5 Absolute Value Inequalities and Equations
1-6 Absolute Value Equations and Inequalities
3-2: Solving Systems of Equations using Substitution
Solving Radical Equations
Solving Equations by Factoring and Problem Solving
Solve inequalities containing radicals
3-2: Solving Systems of Equations using Substitution
Solving Systems of Equations using Substitution
Warmups Simplify 1+ 2
What is an equation? An equation is a mathematical statement that two expressions are equal. For example, = 7 is an equation. Note: An equation.
3-2: Solving Systems of Equations using Substitution
Warm-ups: Simplify or Evaluate the following
Section 7.3 Solving Absolute Value Equations
SOLVING ABSOLUTE-VALUE EQUATIONS
Algebra 1 Section 13.6.
Solving Radical Equations
8.5 Solving Rational Equations
Quick Review.
8.5 Solving Rational Equations
Solving a Radical Equation
Inequalities When comparing the numbers 7 and 4
3-2: Solving Systems of Equations using Substitution
Solving Equations Containing Rational Expressions § 6.5 Solving Equations Containing Rational Expressions.
Solving Linear Inequalities
Example 5A: Solving Simple Rational Equations
3-2: Solving Systems of Equations using Substitution
3-2: Solving Systems of Equations using Substitution
Inequalities When comparing the numbers 7 and 4
L1-5 Algebra 2.
Example 1: Solving Rational Equations
3-2: Solving Systems of Equations using Substitution
3-2: Solving Systems of Equations using Substitution
11-5 Solving Rational Equations
1.6 Absolute Value Equations and Inequalities
Presentation transcript:

Example

Example 2 - Extraneous Solution

Check both solutions to verify that they are solutions to the original equation.

Example 2 - Extraneous Solution Check both solutions to verify that they are solutions to the original equation.

Example 2 - Extraneous Solution Check both solutions to verify that they are solutions to the original equation.

Example 2 - Extraneous Solution Check both solutions to verify that they are solutions to the original equation.

Example 2 - Extraneous Solution Check both solutions to verify that they are solutions to the original equation.

Example 2 - Extraneous Solution Check both solutions to verify that they are solutions to the original equation.

Example 2 - Extraneous Solution Check both solutions to verify that they are solutions to the original equation.

Example 2 - Extraneous Solution Check both solutions to verify that they are solutions to the original equation. Since the expression is undefined the solution x=-1 is extraneous

Assignment – change inequality symbols to equality signs