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

Question

UpStudy AI · Accepted Answer

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.
There is no solution to the equation.

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