Final answer:
The solution to the given equation has infinitely many solutions.
Step-by-step explanation:
The solution to the equation x = 2 + √(x - 2) can be found by isolating the square root on one side of the equation and squaring both sides:
x - 2 = (√(x - 2))^2
Simplifying further:
x - 2 = x - 2
Since the equation is already satisfied by both sides being equal, the solution is any value of x that satisfies the equation. In other words, there are infinitely many solutions to the equation.
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