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答案：D
解析：
Choice D is correct. Solve the equation by first isolating √k:
1/6√k-3=1-√k
1/6√k+√k=4
√k(1+1/6)=4
√k=24/7
Squaring both sides results in:
k=(24/7)^2=576/49
Next, substitute k=(24/7)^2 into the original equation:
1/6√[(24/7)^2]-3=1-√[(24/7)^2]
-17/7=-17/7
The solution to the equation is k=576/49≈11.8, rounded to the nearest tenth.
The solution is approximately 11.8.
