Q. 324 - Intermediate Algebra

Question

In the following exercises, solve.
$\sqrt{4v+1}=\sqrt{3v+3}$

Step-by-Step Solution

Answer

The solution of the given equation is $v=2$.

Step 1. Given information.

The given equation is:

$\sqrt{4v+1}=\sqrt{3v+3}$

Step 2. Solve the equation.

Take square on both sides.

$\begin{array}{rcl}(\sqrt{4v+1}{)}^2& =& (\sqrt{3v+3}{)}^2\\ 4v+1& =& 3v+3\\ 4v-3v& =& 3-1\\ v& =& 2\end{array}$

Step 3. Conclusion.

The solution of the given equation is $v=2$.