Section 2 7 solving equations in one variable
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Chapter 2: Polynomial, Power, and Rational Functions PowerPoint PPT Presentation


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Section 2-7: Solving Equations in One Variable. Chapter 2: Polynomial, Power, and Rational Functions. Objectives. You will learn about: Solving rational equations Extraneous solutions Applications Why?

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Chapter 2: Polynomial, Power, and Rational Functions

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Section 2 7 solving equations in one variable

Section 2-7: Solving Equations in One Variable

Chapter 2:Polynomial, Power, and Rational Functions


Objectives

Objectives

  • You will learn about:

    • Solving rational equations

    • Extraneous solutions

    • Applications

  • Why?

    • Applications involving rational functions as models often require that an equation involving fractions be solved.


Vocabulary

Vocabulary

  • Rational Equation

  • Extraneous Solution


Solve by clearing fractions

Solve by clearing fractions

  • Solve:


Solving a rational equation

Solving a rational equation

  • Solve:


Eliminating extraneous solutions

Eliminating extraneous solutions

  • Solve the equation:


Eliminating extraneous solutions1

Eliminating extraneous solutions

  • Solve the equation:


Calculating acid mixtures

Calculating Acid Mixtures

  • How much pure acid must be added to 50 mL of a 35% acid solution to produce a mixure that is 75% acid?


Finding a minimum perimeter

Finding a Minimum Perimeter

  • Find the dimensions of the rectangle with a minimum perimeter if its area is 200 square meters.


Designing a juice can

Designing a Juice Can

  • Stewart Cannery will package tomato juice in 2-liter cylindrical cans. Find the radius and height of the cans if the cans have a surface area of 1000 cm2.


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