Answer:
Step-by-step explanation:
The discriminant comes from the quadratic formula. We use the discriminant to determine, before factoring, what types of solutions we can expect when we do factor. In the quadratic formula, the discriminant is under a square root sign. If the number under a square root sign is negative (meaning the discriminant is negative), we will not have real number solutions because you can't have a negative number under a square root. So a is your choice.
Answer:

Step-by-step explanation:
Given

Required
Solve:
Apply the following law of logarithm:

So, we have:

Using calculator, we have:


Approximate

So the box is rectangular prism of 8x8x8, namely a cube with all sides of 8 units long.
check the picture below, the cube is just 6 squares stacked up to each other at the edges, and each square is a 8x8.
so, just get the area of all 6 squares, sum them up and that's the surface area of the box, 6(8*8).