Radical Equations with Extraneous Solutions

• x = 0

  5 is extraneous

• x = 5

  0 is extraneous

• x = -2

  3 is extraneous

• x = 3

  -2 is extraneous

Solve the equation. Make sure to check for extraneous solutions.

• x = 1

  9 is extraneous

• x = 3

  -2 is extraneous

• x = 9

  1 is extraneous

• x = -2

  3 is extraneous

• x = 7

  -8 is extraneous

• x = -8

  7 is extraneous

• x = 4

  14 is extraneous

• no solution

Solve the radical equation

• 25

• 50

• 125

• 5

Solve for x. Check for extraneous solutions.

• x = 1

• x = -2

• x = 1 & x = -2

• both extraneous (no solution)

Solve the radical equation and check for extraneous solutions:

• A

• B

• C

• D

Which is the extraneous solution of the equation above?

Solve the radical equation and check for extraneous solutions:

• A

• B

• C

• D

Solve for x. Check for extraneous solutions.

• both are extraneous (no solution)

• x = 6 & x = -7

• x = 6

• x = -7

If you square both sides of a radical equation and obtain a solution that does not satisfy the original equation, you have found what?

• n^th root

• radical equation

• extraneous solution

• radical function