Solve for a positive number x such that \(2^{(x^3 - x^2 - 2x)} = 1\)
A
4
B
3
C
2
D
1
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(2^{(x^3 - x^2 - 2x)} = 1\)
\(x^3 - x^2 - 2x = 0\)
\(x(x^2 - x - 2) = 0\)
\(x^2 - x - 2 = 0\)
\((x + 1)(x - 2) = 0\)
x = 2 is the positive answer.
Source: Myschool Past Questions Archive (Record #31522)