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?

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Section 2-7: Solving Equations in One Variable

Chapter 2:Polynomial, Power, and Rational Functions

Objectives
• 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
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.