Question

Write a verbal description for each step of the equation solving process used to solve the following equations for x.

Answer 1

Okay, here we have this equation:

`r\cdot\sqrt[]{(mx)/(n)+s}=t`

And we need write the verbal description to solve for x, let's do it:

We first move on to dividing the "r" on the right side of the equation, the equation remains like this for now:

`\sqrt[]{(mx)/(n)+s}=(t)/(r)`

The second step is to square both sides to cancel the radical on the left, the equation remains like this for now:

`\begin{gathered} \sqrt[]{(mx)/(n)+s}^2=((t)/(r))^2 \\ (mx)/(n)+s=((t)/(r))^2 \end{gathered}`

The third step is to go on to subtract the s from the right side, and the equation looks like this:

`(mx)/(n)=((t)/(r))^2-s`

The fourth step is to multiply the "n" on the right side of the equation:

`mx=(((t)/(r))^2-s)\cdot n`

And the last step is to divide the "m" on the right side of the equation, and we finally get this:

`x=(((((t)/(r))^2-s)\cdot n))/(m)`