SOLVING RADICAL EQATIONS WITH EXTRANEOUS SOLUTIONS WORKSHEET

Find the extraneous solution for the radical equations given below.

1) √(x + 4) = x - 2 Solution

2) √(10x + 9) = x + 3 Solution

3) √(2x + 5) = √(x + 7) Solution

4) √(x + 6) – 2 = √(x – 2) Solution

5) x+1 = √(7x+15) Solution

6) √(x + 2) + 1= √(3 – x) Solution

7) √(10 - x) = x + 2 Solution

Answer Key

1) 0 is solution, 5 is extraneous

2) 0 and 4 are solutions. No extraneous solution

3) 2 is a solution. No extraneous solution

4) 3 is a solution. No extraneous solution.

5) 7 is a solution. -2 is extraneous solution.

6) -1 is solution and 2 is extraneous

7) 1 is solution, -6 is extraneous