Respuesta :

Okay, here we have this equation:

[tex]r\cdot\sqrt[]{\frac{mx}{n}+s}=t[/tex]

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:

[tex]\sqrt[]{\frac{mx}{n}+s}=\frac{t}{r}[/tex]

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

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

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

[tex]\frac{mx}{n}=(\frac{t}{r})^2-s[/tex]

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

[tex]mx=((\frac{t}{r})^2-s)\cdot n[/tex]

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

[tex]x=\frac{(((\frac{t}{r})^2-s)\cdot n)}{m}[/tex]

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