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Find the value(s) of x for which the expression is undefined: \(\frac{6x - 1}{x^2 +...

Mathematics
WAEC 1995

Find the value(s) of x for which the expression is undefined: \(\frac{6x - 1}{x^2 + 4x - 5}\)

  • A. +4 or+1
  • B. -5 or +1
  • C. -5 or -1
  • D. +5 or -1
  • E. \(\frac{1}{6}\)
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Correct Answer: Option B
Explanation

\(\frac{6x - 1}{x^2 + 4x - 5}\)

The expression is undefined when \(x^2 + 4x - 5 = 0\)

\(x^2 + 5x - x - 5 = 0\)

\(x(x + 5) - 1(x + 5) = 0\)

\((x - 1)(x + 5) = 0\)

The expression is undefined when x = 1 or -5.


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