Solve the following quadratic equation by the square root property of equality.

(x-8) ^2=48

x = 8 ± 4√3

Step-by-step explanation:

To solve the quadratic equation, use the inverse operation to squaring. This will undo the exponent and allow x to be isolated. The inverse operation is the square root. This is called the square root property of equality.

(x - 8) ² = 48

√ (x-8) ² = √48

(x - 8) = ±√48

x = 8 ± √48

x = 8 ± 4√3