Question

what is the solution of \\(\sqrt{2x + 4} = 16\\)?\
\\(x = 6\\)\
\\(x = 72\\)\
\\(x = 126\\)\
no solution

Explanation:

Step1: Square both sides

To eliminate the square root, square both sides of the equation \(\sqrt{2x + 4}=16\). This gives \((\sqrt{2x + 4})^2 = 16^2\), which simplifies to \(2x + 4 = 256\).

Step2: Solve for x

Subtract 4 from both sides: \(2x = 256 - 4 = 252\). Then divide both sides by 2: \(x=\frac{252}{2}=126\).

Answer:

\(x = 126\)