The surface area of the box of cereal displayed below is 2x^2+48x+88. What is the value of x if the box of cereal has an area of 192in^2?

Value of x is 2

Step-by-step explanation:

Surface area is given by 2x²+48x+88

We need to find x when surface area is 192.

A = 2x²+48x+88

2x²+48x+88 = 192

2x²+48x - 104 = 0

x² + 24x - 52 = 0

(x - 2) (x + 26) = 0

x = 2 or x = - 26 not possible

Value of x is 2