Question

Solve the following quadratic equation by the square root property of equality.
(x-8)^2=48

Answer 1

x = 8 ± 4√3

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