Find the values of x for which \( \frac{1}{2x^2 - 13x +15} \) is not
MATHEMATICS
WAEC 2004
Find the values of x for which \( \frac{1}{2x^2 - 13x +15} \) is not defined,
- A. 5 or \( \frac{3}{2} \)
- B. 1 or \( \frac{15}{13} \)
- C. 2 or 15
- D. 13 or 15
Correct Answer: A. 5 or \( \frac{3}{2} \)
Explanation
The fraction is undefined when the denominator is equal to zero
\(2x^2 - 13x + 15 = 0\\
2x^2 - 3x - 10x + 15\\
x(2x-3)-5(2x-3) = 0\\
(2x-3)(x-5)=0\\
x = \frac{3}{2} or x = 5\)
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