Q. 23 - Intermediate Algebra

Question

In the following exercises, solve each equation.

${(u-6)}^2=64$

Step-by-Step Solution

Answer

The solution of the equation is $u=14,-2$

Step 1. Given information

In the given question we have to solve given equation. 

${(u-6)}^2=64$

Step 2. The given equation is ( u − 6 ) 2 = 64

Use the Square Root Property.

$u-6=\pm \sqrt{64}$

Step 3. Simplify the radical.

$u-6=\pm 8$

Add 6 on both side

$$\begin{gathered} u-6+6=6\pm 8 \\ u=6\pm 8 \end{gathered}$$

Step 4. Solve for u .

$$\begin{gathered} u=6+8 u=6-8 \\ u=14 u=-2 \end{gathered}$$