Chapter 11.10, Problem 25WE

To determine

To find: The solution the given equation.

Answer to Problem 25WE

The solution the given equation is $a=80$

Explanation of Solution

Given,

The given equation is,

  $8=\sqrt{\frac{5a}{4}}-2$

Calculation:

Solve the given equation.

  $\begin{array}{c}8=\sqrt{\frac{5a}{4}}-2\\ 8+2=\sqrt{\frac{5a}{4}}\\ 10=\sqrt{\frac{5a}{4}}\end{array}$

Square both sides.

  $\begin{array}{l}{10}^2={\left(\sqrt{\frac{5a}{4}}\right)}^2\\ 100=\frac{5a}{4}\\ 400=5a\\ a=\frac{400}{5}\end{array}$

Solve further as,

  $a=80$

Thus, the solution the given equation is $a=80$