Question

Solve the quadratic equation using square root property.

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

Short answer

The solutions are$u=-2,14$.

Step-by-step solution

Given Information.  

The Given equation is$(u-6{)}^2=64$.

Use square root property.

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

Solve radical.

$u-6=\pm 8$

Solve for u.

$u=6\pm 8$

Rewrite to show two solutions.

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

Thus, the solutions are $u=-2,14$.