Solving Radical Equations Extraneous Solutions

• 1

• -1

• 0

• -2

• 3

• 2

• -3

• -2

• x = - 9, x = 7

• x = 7

• x = 9

• x = 9, x = - 7

• n = 5 and -6

• n = -6

• n = 5

• No Solution

x = 5

x = -6

x = 14

x = -1

• x = 5

• x = -6

• x = 14

• x = -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.  Remember to check for extraneous solutions. 

• {-3}

• {6}

• {-5,6}

• {-5}

Solve

• -14

• 14

• no solution

• 28

Solve.

• 8

• -8

• 0

• no solution

• 4

• -4

• 2

• -2