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# Chapter 2: Polynomial, Power, and Rational Functions PowerPoint PPT Presentation

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?

Chapter 2: Polynomial, Power, and Rational Functions

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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?

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

### Vocabulary

• Rational Equation

• Extraneous Solution

• Solve:

• Solve:

### Eliminating extraneous solutions

• Solve the equation:

### Eliminating extraneous solutions

• Solve the equation:

### 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

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

### 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.