Question

1. if \\(\sqrt{2x} - 3 = 1\\), what is the value of x?

Explanation:

Step1: Isolate the square root term

Add 3 to both sides of the equation \(\sqrt{2x}-3 = 1\) to get \(\sqrt{2x}=1 + 3\).
Simplifying the right side, we have \(\sqrt{2x}=4\).

Step2: Eliminate the square root

Square both sides of the equation \(\sqrt{2x}=4\) to obtain \((\sqrt{2x})^2=4^2\).
This simplifies to \(2x = 16\).

Step3: Solve for x

Divide both sides of the equation \(2x = 16\) by 2: \(x=\frac{16}{2}\).
Simplifying the right side gives \(x = 8\).

Answer:

\(x = 8\)