Solving multi-step problems using non-linear equations in one variable

• 7

• 5

• -7

• -5

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

• nth root
• extraneous solution
• radical equation 
• identity function

Solve

• 45

• 15

• -15

• -45

Solve for x. Identify extraneous solutions, if any.

• x = 2

• x = 14

• x = 5

• x = 1

Solve the radical equation. Don't forget to check your answers!

• 2

• 1

• -1

• 8

• 8

• -20

• -8

• 20

What is the extraneous solution for Problem 11?

•  $x=2$ 

•  $x=0$ 

•  $x=\pm2$ 

• There isn't one.

• Solution: x=2

  Extraneous Solution: x=-5

• Solution: x=-5

  Extraneous Solution: x=2

• Solutions: x=2 and x=-5

• No Solutions

  Extraneous Solutions: x=2 and x=-5

• No Solution

• x = 61

• x = 4

• x = 1

• x = 48