'Extraneous solution' diaporamas de présentation

Intermediate Algebra Chapter 6 - Gay

Intermediate Algebra Chapter 6 - Gay. Rational Expressions. Intermediate Algebra 6.1. Introduction to Rational Expressions. Definition: Rational Expression. Can be written as Where P and Q are polynomials and Q(x) is not 0. Determine Domain of rational function.

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Radical Expressions and Equations

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EXAMPLE 1

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1.7 Solving Absolute Value Equations & Inequalities

1.7 Solving Absolute Value Equations & Inequalities. Remember that absolute value means the distance from 0 on the number line!. Example 1. Example 1. Example 1. Example 1. Example 1. More examples!!. Check for Extraneous Solutions. If they are not true, exclude the extraneous solution.

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Solving Logarithmic Equations

Example 1:. Solve the equation . Solving Logarithmic Equations. A logarithmic equation is an equation with an expression that contains the log of a variable expression. The following examples will show how to solve this type of equation. Method A.

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How do you check for extraneous solutions?

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How do you identify extraneous solutions in radical equations?

How do you identify extraneous solutions in radical equations?. = x + 2. In this lesson you will learn to determine if a radical equation has an extraneous solution by solving. 5 is the radicand. = . -2. = x -7. 2. 2. = x -7. x-1= x 2 -14x + 49. x 2 -15x + 50 = 0. x = 5, x = 10.

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2.2 Solve Absolute Value Equations and Inequalities

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Ch 10.3 Solving Radical Equations

Ch 10.3 Solving Radical Equations. Objective: To solve equations involving square roots ( and equations involving perfect squares ). Definitions. Radical Equation: An equation involving the radical/square root symbol ? Extraneous Solution: A solution that is NOT valid.

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Solving Rational Equations

Solving Rational Equations. Students will be able to solve equations involving rational expressions and will be able to identify extraneous solutions. Answers. Warm-ups. Rational Equations contain rational expressions FACTOR EVERYTHING 1 ST ! Identify Excluded Values (12-1 stuff)

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Aim: How do we solve radical equations?

Aim: How do we solve radical equations?. Do Now : Solve for x : 1. x + 1 = 5 2. x + 1 = -5 3. 4. Radical Equations. An equation in which a variable occurs in the radicand is called a radical equation . It should be noted, that when solving a radical equation algebraically,

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Objective 1.4.1

Objective 1.4.1. Radical Equations. To solve an equation with a radical. First isolate the radical. + 3. + 3. This means to get any terms not under the square root on the other side of the equal sign. 2. 2. Now square both sides.

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10-6 Solving Rational Equations

10-6 Solving Rational Equations. Standard 13.0: Solve both computationally and conceptually challenging problems using rational expressions. Rational Equation Extraneous Solution. An equation containing one or more rational expressions.

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10. 7 Solving Rational Equations

10. 7 Solving Rational Equations. Standard: ALG. 15.0. Main Idea & Vocabulary. Today, we will solve rational equations. Like working with fractions, be sure to find a common denominator. Rational equation : an equation with one or more rational expression.

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Section 7-10: Fractional Equations and Extraneous Solutions

CHAPTER SEVEN: RATIONAL ALGEBRAIC FUNCTIONS. Section 7-10: Fractional Equations and Extraneous Solutions . Objective:. Given a fractional equation, be able to solve it. Fractional Equation. A fractional equation is an equation that has a variable in a denominator. For example:.

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7.6 Solving Radical Equations

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Objectives: Be able to determine if an equation is a rational equation. Be able to solve various rational equations and

Objectives: Be able to determine if an equation is a rational equation. Be able to solve various rational equations and exclude any extraneous solutions. . Critical Vocabulary: Rational Function, Extraneous solution. I. Rational Functions.

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Eric Fang Period 2

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Slope Intercept Review Extraneous Solutions

Slope Intercept Review Extraneous Solutions. Slope Intercept Form Review. y- i ntercept f orm / slope intercept form Slope Intercept form y = mx + b The y-intercept value is immediately seen when the equation is in y intercept form -- making it easy to sketch on a graph .

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Extraneous Solutions

Extraneous Solutions. Extraneous Solutions. A proposed solution that is not a solution of the original equation. These solutions arise from the solution method, but do not satisfy the original equation. Example One: Solve . Always check your answer(s):.

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