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Solve for a positive number x such that \(2^{(x^3 - x^2 - 2x)} = 1\)

Mathematics
JAMB 1989

Solve for a positive number x such that \(2^{(x^3 - x^2 - 2x)} = 1\)

  • A. 4
  • B. 3
  • C. 2
  • D. 1
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Correct Answer: Option C
Explanation

\(2^{(x^3 - x^2 - 2x)} = 1\)

\(x^3 - x^2 - 2x = 0\)

\(x(x^2 - x - 2) = 0\)

\(x^2 - x - 2 = 0\)

\((x + 1)(x - 2) = 0\)

x = 2 is the positive answer.


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