Solve the square root equation. \[ \begin{array}{l}5-2 \sqrt{x}=11 \\ \text { no solution } \\ x=9 \\ x=3 \\ x=9, x=3\end{array} \]

We start with the equation:   5 - 2√x = 11. Step 1. Isolate the term with the square root.   Subtract 5 from both sides:     5 - 2√x - 5 = 11 - 5,   which simplifies to:     -2√x = 6. Step 2. Divide both sides by -2:   √x = 6 / (-2) = -3. Step 3. Since the square root of any non-negative number (by definition) is non-negative, √x cannot equal -3. Thus, there is no solution to the equation.