Solve. \( \sqrt{4 x-17}=1 \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There is no solution.

To solve the equation √(4x - 17) = 1, follow these steps: 1. Since the square root function is defined only for nonnegative values, first set the expression inside the square root to be at least zero:   4x - 17 ≥ 0 ⟹ x ≥ 17/4. 2. Now, square both sides of the equation to eliminate the square root:   (√(4x - 17))² = 1² ⟹ 4x - 17 = 1. 3. Solve for x:   4x = 1 + 17 ⟹ 4x = 18,   x = 18/4 ⟹ x = 9/2. 4. Verify that the solution satisfies the original equation and the constraint x ≥ 17/4:   x = 9/2 (= 4.5) satisfies the inequality, and √(4*(9/2) - 17) = √(18 - 17) = √1 = 1, which is correct. Therefore, the correct choice is: A. The solution(s) is/are 9/2.