Question

What is the solution to the equation below? 3* 3 O A. X= 12 OB. X= 18 C. X= 6 O D. x=9

Answer 1

`x=9`

Here, we want to solve the given equation

What we have to do here is to square both sides of the equation

We have this as follows;

`\begin{gathered} \frac{\sqrt[]{3x}}{\sqrt[]{x-6}\text{ }}\text{ = 3} \\ \text{Squaring both sides will remove the roots on the left and we have;} \\ (3x)/(x-6)\text{ = }3^2 \\ \\ 3x\text{ = 9(x-6)} \\ 3x\text{ = }9x-54 \\ 9x-3x\text{ = 54} \\ 6x\text{ = 54} \\ \text{ x= }(54)/(6) \\ x\text{ = 9} \end{gathered}`