Find the values of x for which \( \frac{1}{2x^2 - 13x +15} \) is not defined,
Answer Details
The expression \( \frac{1}{2x^2 - 13x +15} \) is undefined when the denominator is equal to zero. Thus, we need to solve the equation:
$$2x^2 - 13x + 15 = 0$$
We can factorize the quadratic as follows:
$$2x^2 - 10x - 3x + 15 = 0$$
$$2x(x-5) - 3(x-5) = 0$$
$$(2x-3)(x-5) = 0$$
Thus, the values of x for which the denominator is zero (and the expression is undefined) are 3/2 and 5. Therefore, the correct answer is option A: 5 or 3/2.