For what values of x is \(\frac{x^{2} - 9x + 18}{x^{2} + 2x - 35}\)
FURTHER MATHEMATICS
WAEC 2010
For what values of x is \(\frac{x^{2} - 9x + 18}{x^{2} + 2x - 35}\) undefined?
- A. 6 or 3
- B. -18 or -9
- C. -7 or 5
- D. -5 or 7
Correct Answer: C. -7 or 5
Explanation
An fraction is undefined when the denominator has value = 0.
\(\frac{x^{2} - 9x + 18}{x^{2} + 2x - 35}\) is undefined when \(x^{2} + 2x - 35 = 0\)
\(x^2 + 7x - 5x - 35 = 0 \implies (x + 7)(x - 5) = 0\)
\(x = \text{-7 or 5}\)
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