1 / 17

Unit: Radical Functions 7-5: Solving Radical Equations

Unit: Radical Functions 7-5: Solving Radical Equations. Essential Question: Describe the procedure for solving a radical equation. 7-5: Solving Radical Equations. A radical equation is an equation that has a variable in a radicand or a variable with a rational exponent. radical equation

aneko
Download Presentation

Unit: Radical Functions 7-5: Solving Radical Equations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Unit: Radical Functions7-5: Solving Radical Equations Essential Question: Describe the procedure for solving a radical equation

  2. 7-5: Solving Radical Equations • A radical equation is an equation that has a variable in a radicand or a variable with a rational exponent. • radical equation • radical equation • not a radical equation • To solve a radical equation, isolate the radical on one side of the equation and then raise both sides of the equation to the inverse power.

  3. 7-5: Solving Radical Equations • Example: • Goal is to get by itself • Subtract 2 from both sides • Inverse of square root? • Square each side • Add 2 to both sides • Divide both sides by 3

  4. 7-5: Solving Radical Equations • Your Turn

  5. 7-5: Solving Radical Equations • Example: • Goal is to get by itself • Divide both sides by 2 • Inverse of 2/3 power? • Take each side to 3/2 power Use absolute values only when taking an even root • Make two equations • Add 2 to both sides

  6. 7-5: Solving Radical Equations • Example:

  7. 7-5: Solving Radical Equations • Assignment • Page 394 • 1 – 12 • All problems • Show work

  8. Unit: Radical Functions7-5: Solving Radical EquationsDay 2 Essential Question: Describe the procedure for solving a radical equation

  9. 7-5: Solving Radical Equations • Much like with absolute value equations, you’ll have to check for extraneous solutions. • Part 1 – Solving the problem • Get by itself • Subtract 5, both sides • Square both sides • FOIL right side • Subtract x & add 3 • Factor • Solve each parenthesis

  10. 7-5: Solving Radical Equations • Part 2 – Checking for extraneous solutions • Original Problem • Two solutions • The only solution is x = 7

  11. 7-5: Solving Radical Equations • Your Turn

  12. 7-5: Solving Radical Equations • Part 2 – Checking for extraneous solutions • Original Problem • Two solutions Real Solution Extraneous Solution The only solution is x = 10

  13. 7-5: Solving Radical Equations • Get the two equations on opposite sides • Raise both sides to eliminate the smallest power • FOIL the left side Get equation = 0 • Subtract 3x on both sides Subtract 4 on both sides • Factor the equation • Solve each parenthesis

  14. 7-5: Solving Radical Equations • Part 2 – Checking for extraneous solutions • Original Problem • Two solutions • Let’s check x = -1

  15. 7-5: Solving Radical Equations • Part 2 – Checking for extraneous solutions • Original Problem • Two solutions • ¾ is the only real solution (-1)0.5 is not a real number

  16. 7-5: Solving Radical Equations • Your Turn

  17. 7-5: Solving Radical Equations • Assignment • Page 394 - 395 • 15 – 29 • Odd problems • Show work • Note: All problems have at least one real solution. Some will also have one extraneous solution & the book will not give you the extraneous solution, but I want both.

More Related