Q. The following is a data sufficiency question.
A: x^2 + 6x - 40 = 0
B: x^2 + kx + j = 0
Which is larger, the sum of the roots of equation A or the sum of the roots of equation B?
1. j = k
2. k is negative
Now, I was able to solve the question correctly, but my doubt is regarding one of the statements mentioned in the solution for this question which reads the following-
Note: We cannot assume that j and k are integers as the problem does not state this. If we knew they were integers, then j = k = 2 since this is the only way for j to equal k in x^2 + jx + k = 0, and we could solve the problem.
Can you please help me understand the above bold text? Would highly appreciate a quick response.
Thanks.