Radical Equations with Extraneous Solutions

Solve the equation.

• 36

• 18

• -18

• 27

Solve

• -5

• 5

• 10

• 25

• x = -6

• x = 3

• x = -3

• x = 5±

• 35/3

• 35

• 3

• 7/3

• 9/5

• 17

• 17/5

• 5

Solve and check your solution.

• -2

• 2

• no real solution

• -1

What is the first step to solving Radical Equations?

• Check for extraneous solutions.

• Raise each side of the equation to the power of the index.

• Isolate the radical on one side of equations.

• Solve the remaining equation.

• Convert from radical form to rational exponent form

Solve the equation.

• n = 27

• n = 18

• n = -18

• n = 36

• n = 12

Solve for m

• m=2

• m=-2 and m=18

• m=2 and m=-18

• m=-2 and m=-18

• m=2 and m=18

Solve the equation.

• 25

• -29

• -3

• 3

• 9^2/3