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Chapter 6

Chapter 6. Radical Functions and Rational Exponents. 6-5 Solving Square Root and other Radical Equations. What you’ll learn … To solve radical equations. A radical equation is an equation that has a variable in a radicand or has a variable with a rational exponent. Radical Equation.

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Chapter 6

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  1. Chapter 6 Radical Functions and Rational Exponents

  2. 6-5 Solving Square Root and other Radical Equations What you’ll learn … • To solve radical equations

  3. A radical equation is an equation that has a variable in a radicand or has a variable with a rational exponent. Radical Equation Not a Radical Equation

  4. Steps for Solving a Radical Equation • Get radical by itself. • Raise both sides to index power. • Solve for x. • Check.

  5. Example 1 Solving Radical Equations with Index 2 Solve 2 + √3x-2 = 6 √5x+1 – 6 = 0

  6. Example 2 Solving Radical Equations with Rational Exponents Solve 2 (x – 2)2/3 = 50 3(x+1)3/5 = 24

  7. Real World Connection A company manufactures solar cells that produce 0.02 watts of power per square centimeter of surface area. A circular solar cell needs to produce at least 10 watts. What is the minimum radius?

  8. Example 4 Checking for Extraneous Solutions Solve √x – 3 + 5 = x √3x + 2 - √2x + 7 = 0

  9. Solve (2x +1)0.5 – (3x+4)0.25 = 0 Solve (x +1)2/3 – (9x+1)1/3 = 0 Example 5 Solving Equations with Two Rational Exponents

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