Answer:
And the correct solution would be x=2 since a negative value not have a practica interpretation on this case.
Step-by-step explanation:
For this case the surface area is given by this formula:
(1)
For this case we have that the total surface area is 192, so we need to set up equal to 192 and solve for the value of x like this:
We can set up the last equuation equal to 0 like this:
We can divide both sides of the equation by 2 and we got:
Now we can use the quadratic formula in order to solve the value of x given by:
For our equation a = 1, b = 24 and c = -52 and if we replace we got:
And the two solutions are:
And the correct solution would be x=2 since a negative value not have a practica interpretation on this case.