Question

What is the solution to the equation below? 13 - 2% (4% 2

Answer 1

Given:

`\frac{\sqrt[]{3-2x}}{\sqrt[]{4x}}=2`

To find: The value of x

Step-by-step explanation:

Squaring on both sides, we get

`\begin{gathered} (\frac{\sqrt[]{3-2x}}{\sqrt[]{4x}})^2=2^2 \\ (3-2x)/(4x)=4 \end{gathered}`

Solving we get,

`\begin{gathered} 3-2x=16x \\ 16x+2x=3 \\ 18x=3 \\ x=(3)/(18) \\ x=(1)/(6) \end{gathered}`

Final answer: Option C

`x=(1)/(6)`