Slove: Check for extraneous solutions.

√a  - 4 = -10   add  4 to both sides

√a  =  -6      there is no real solution to this.....we cannot get a negative from a positive square root

18 = 2√(x - 3)   + 4       subtract 4 from both sides

14  = 2√(x - 3)      divide both sides by 2

7  = √(x - 3)     square both sides

49   = x  - 3     add 3 to both sides

52   = x

√(3x - 4)  = √(5x - 12)   square both sides

3x  - 4  = 5x  - 12      add 12 to both sides, subtract 3x from both sides

8 = 2x     divide both sides by 2

4 = x