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
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
The fraction is undefined when the denominator is equal to zero
\(2x^2 - 13x + 15 = 0\\
2x^2 - 3x - 10x + 15\\
x(2x-3)-5(2x-3) = 0\\
(2x-3)(x-5)=0\\
x = \frac{3}{2} or x = 5\)
Source: Myschool Past Questions Archive (Record #26594)