Question

In the following exercises, solve.

$\sqrt{6v-2}-10=0$

Short answer

The solution of the given equation is $v=17$.

Step-by-step solution

Step 1. Given information.

The given equation is:

$\sqrt{6v-2}-10=0$

Step 2. Solve the equation.

The given equation can be written as:

$\sqrt{6v-2}=10$

Take square on both sides.

$\begin{array}{rcl}(\sqrt{6v-2}{)}^2& =& (10{)}^2\\ 6v-2& =& 100\\ 6v& =& 100+2\\ 6v& =& 102\end{array}$

Divide both sides by 6.

$\begin{array}{rcl}\frac{6v}{6}& =& \frac{102}{6}\\ v& =& 17\end{array}$

Step 3. Conclusion.

The solution of the given equation is $v=17$.