A) 2
B) 3
C) 4
D) 5
E) 6
Correct Answer: A
Solution :
A quadratic equation \[{{x}^{2}}+bx-16=0\]have integer roots, when it has following conditions. I. b must be even integer. II. its discriminant is a perfect square of an even number. So, \[D={{b}^{2}}+4.16={{b}^{2}}+64\] Here, 0 and 6 only the even integers value of b, on which the discriminant of given quadratic equation have perfect square of an even number. So, the number of integral values of b is 2.
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