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

Mathematics
WAEC 2025

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

 

  • A. +5 or -1
  • B. -5 or +1
  • C. -5 or -1
  • D. +4 or +1
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Correct Answer: Option B
Explanation

A fraction is undefined when its denominator is zero, i.e. 

\(\frac{6x - 1}{x^2 + 4x - 5}\) is undefined when x\(^2\) + 4x - 5 = 0

x\(^2\) + 4x - 5 = 0

= x\(^2\) + 5x - x - 5 = 0

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

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

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

x = 1 0r -5 


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