Question

5 + \sqrt{4x} = 7

Explanation:

Step1: Isolate the square root term

Subtract 5 from both sides of the equation \(5 + \sqrt{4x}=7\).
\(5 + \sqrt{4x}-5 = 7 - 5\)
Simplify to get \(\sqrt{4x}=2\).

Step2: Eliminate the square root

Square both sides of the equation \(\sqrt{4x}=2\).
\((\sqrt{4x})^2 = 2^2\)
Which gives \(4x = 4\).

Step3: Solve for x

Divide both sides of the equation \(4x = 4\) by 4.
\(\frac{4x}{4}=\frac{4}{4}\)
Simplify to get \(x = 1\).

Answer:

\(x = 1\)