In the following exercises, solve.5x-6=8

Q. 287 - Intermediate Algebra

In the following exercises, solve.

$\sqrt{5 x - 6} = 8$

Verified

Answer

The solution of the given equation is $x = 14$ .

1Step 1. Given information.

The given equation is:

$\sqrt{5 x - 6} = 8$

2Step 2. Solve the equation.

Take square on both sides.

$\begin{array}{rcl} (\sqrt{5 x - 6})^{2} & = & 8^{2} \\ 5 x - 6 & = & 64 \\ 5 x & = & 64 + 6 \\ 5 x & = & 70 \end{array}$

DIvide both sides by 5.

$\begin{array}{rcl} \frac{5 x}{5} & = & \frac{70}{5} \\ x & = & 14 \end{array}$

3Step 3. Conclusion.

The solution of the given equation is $x = 14$ .