Chapter 12.6, Problem 2MRE

To determine

To calculate: The value of x .

Answer to Problem 2MRE

The value of x is 84.

Explanation of Solution

Given information:

Equation is given as, $\frac{\sqrt{x-3}}{6}=\frac{3}{2}$

Consider the given equation as, $\frac{\sqrt{x-3}}{6}=\frac{3}{2}$

Now,

  $\begin{array}{c}\frac{\sqrt{x-3}}{6}=\frac{3}{2}\\ \sqrt{x-3}=6\times \frac{3}{2}\\ =3\times 3\\ =9\end{array}$

On squaring both sides,

  $\begin{array}{c}{\left(\sqrt{x-3}\right)}^2=9^2\\ x-3=81\\ x=81+3\\ =84\end{array}$

Therefore, the value of x is 84.