MODULE 8

• Discipline

  Good Taste
• Writer: Michelle A. Catalan
• Cover Illustrator: Joel J. Estudillo
• Radical equation


  An equation in which the variable appears in a radicand
• Steps in Solving Radical Equation

  1. Arrange the terms so one term with radical is by itself

  2. Remove the radical sign by raising both sides to the index of the radical

  3. Combine similar terms

  4. Repeat steps if radical remains

  5. Solve for the variable by applying properties of equalities

  6. Check the answer using the original equation
• Examples of radical equations

  • √x = 7
  • √x - 2 = 10
  • √(x + 2)^3 = 3
  • x - 6 = √x
• Extraneous roots are numbers obtained when solving equations that are not original equations
• • Fact or Bluff: √2x + 1 = 3, x = 4 (Bluff, correct value is x = 4)
  • 3 - √x + 1 = 0, x = 5 (Bluff, correct value is x = 4)
  • t = 2√t - 1, t = 2 (Fact)
  • √x^2 + 3x - 2 - x = 1, x = 6 (Bluff, correct value is x = 2)
  • a - 4 = 2√a - 5, a = 7 (Bluff, correct value is a = 9)</b>
• Solve: √x + 9 = 7


  1. √x + 9 = 7

  2. √x + 9 = 12

  3. √x = 3

  4. (√x)^2 = (3)^2

  5. x = 9
• 5√5x + 2 = 10
• Solve the radical equations

  1. Apply properties of equality

  2. Simplify

  3. Checking
• Rubrics for the Performance Task