Q. 294 - Intermediate Algebra

Question

In the following exercises, solve.

$\sqrt{2n-1}-3=0$

Step-by-Step Solution

Answer

The solution of the given equation is $n=5$.

Step 1. Given information.

The given equation is:

$\sqrt{2n-1}-3=0$

Step 2. Solve the equation.

The given equation can be written as:

$\sqrt{2n-1}=3$

Take square on both sides.

$\begin{array}{rcl}(\sqrt{2n-1}{)}^2& =& 3^2\\ 2n-1& =& 9\\ 2n& =& 9+1\\ 2n& =& 10\end{array}$

Divide both sides by 2.

$\begin{array}{rcl}\frac{2n}{2}& =& \frac{10}{2}\\ n& =& 5\end{array}$

Step 3. Conclusion.

The solution of the given equation is $n=5$.