Question

3 + 2√x = 9

Explanation:

Step1: Isolate the radical term

Subtract 3 from both sides of the equation \(3 + 2\sqrt{x}=9\).
\(3 + 2\sqrt{x}-3 = 9 - 3\)
Simplifying, we get \(2\sqrt{x}=6\).

Step2: Solve for the square root term

Divide both sides of the equation \(2\sqrt{x}=6\) by 2.
\(\frac{2\sqrt{x}}{2}=\frac{6}{2}\)
Simplifying, we get \(\sqrt{x}=3\).

Step3: Solve for \(x\)

Square both sides of the equation \(\sqrt{x}=3\) to eliminate the square root.
\((\sqrt{x})^2 = 3^2\)
Simplifying, we get \(x = 9\).

Answer:

\(x = 9\)