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

Fabricemarcelin asked Jul 4, 2023

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Fabricemarcelin asked Jul 4, 2023

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28 votes

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

Farhan Tahir answered Jul 11, 2023

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