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Chapter 2: Polynomial, Power, and Rational Functions

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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  1. Section 2-7: Solving Equations in One Variable Chapter 2:Polynomial, Power, and Rational Functions

  2. 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.

  3. Vocabulary • Rational Equation • Extraneous Solution

  4. Solve by clearing fractions • Solve:

  5. Solving a rational equation • Solve:

  6. Eliminating extraneous solutions • Solve the equation:

  7. Eliminating extraneous solutions • Solve the equation:

  8. 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?

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

  10. 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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