Solving Radical Equations Extraneous Solutions

Solve

• 0

• -4

• 0, -4

• no solution

Solve

• -9

• -2,3

• 5

• 0

Challenge: SELECT ALL THAT APPLY -

When solving the following Radical Equations, which equations will have EXTRANEOUS solutions.

Challenge: SELECT ALL THAT APPLY - Consider the following: \(\sqrt[]{5x+11}-1=x\) After solving, which solution(s) will be solved EXTRANEOUS.

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.

• 3

• -3

• 2

• 0

• 9

• -9

• 7

• -7

• 6

• 9

• -6

• -9

• 1

• -1

• 2

• -2

• 7

• 5

• -7

• -5