Question

The formula represents the surface area S of a cube with side lengths x.
(choices in photo)

Answer 1

We have the following expression:
S = 6x ^ 2
We must clear x from the equation.
For this, we follow the following steps:
Step 1)
Pass 6 to divide:
S / 6 = x ^ 2
Step 2)
Square root on both sides:
+/- root (S / 6) = x
Step 3)
Multiply numerator and denominator by 6:
x = + / - root (6S / 6 * 6)
Step 4)
Rewrite expression:
x = + / - root (6S / 36)
Step 5)
Take root to denominator:
x = + / - (root (6S)) / 6
Answer:
x = + / - (root (6S)) / 6
(option 2)