Solving Radical Equations Extraneous

• x = 7

  -8 is extraneous

• x = -8

  7 is extraneous

• x = 4

  14 is extraneous

• no solution

Choose the STEPS that are NOT involved with solving RADICAL equations.

• Isolate the radical on one side or both sides of the equation.

• Square all problems involving radicals.

• Square root problem? Square BOTH sides to rid the radical.

• Always take the reciprocal of the square root first before solving.

• Check for EXTRANEOUS roots/solutions.

Challenge: SELECT ALL THAT APPLY - When solving the following Radical Equations, which equations will have EXTRANEOUS solutions.

• No Solution

• 10

• 30

• 3

• -3

• 3

• 6

• No Solution

• 14

• 13

• 70

• No Solution

Solve for x.

• 13

• 169

• 26

• 3.61

• No Solution

• -6

• 6

• 1/7

• 9

• 8.12

• No Solution

• 2