Final answer:
To solve the equation √(x + 7) - 11 = 2 for x, add 11 to both sides, square both sides, and then solve for x by subtracting 7 from both sides.
Step-by-step explanation:
To solve the equation √(x + 7) - 11 = 2 for x, we need to isolate x on one side of the equation. First, we can add 11 to both sides to get √(x + 7) = 13. Next, we can square both sides of the equation to eliminate the square root: x + 7 = 169.
Finally, subtracting 7 from both sides gives us the solution x = 162.