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: Option A
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)