Q. 323 - Intermediate Algebra

Question

In the following exercises, solve.

$\sqrt{3u+7}=\sqrt{5u+1}$

Step-by-Step Solution

Answer

The solution of the given equation is $u=3$.

Step 1. Given information.

The given equation is:

$\sqrt{3u+7}=\sqrt{5u+1}$

Step 2. Solve the equation.

Take square on both sides.

$\begin{array}{rcl}(\sqrt{3u+7}{)}^2& =& (\sqrt{5u+1}{)}^2\\ 3u+7& =& 5u+1\\ 7-1& =& 5u-3u\\ 6& =& 2u\end{array}$

Divide both sides by 2.

$\begin{array}{rcl}\frac{6}{2}& =& \frac{2u}{2}\\ 3& =& u\end{array}$

Step 3. Conclusion.

The solution of the given equation is $u=3$.