Question

In the following exercises, solve.
$\sqrt{12u+1}-11=0$

Short answer

The solution of the given equation is $u=10$.

Step-by-step solution

Step 1. Given information.

The given equation is:

$\sqrt{12u+1}-11=0$

Step 2. Solve the equation.

The given equation can be written as:

$\sqrt{12u+1}=11$

Take square on both sides.

$\begin{array}{rcl}(\sqrt{12u+1}{)}^2& =& (11{)}^2\\ 12u+1& =& 121\\ 12u& =& 121-1\\ 12u& =& 120\end{array}$

Divide both sides by 12.

$\begin{array}{rcl}\frac{12u}{12}& =& \frac{120}{12}\\ u& =& 10\end{array}$

Step 3. Conclusion.

The solution of the given equation is $u=10$.