Question

proof there exist an integer k so that x^2 +kx +2 = 0 has an integer solution

Answer 1

solve, then make sure you have a perfect square

Answer 2

remainder theorem

Answer 3

how to do it?

Answer 4

is this for a class or personal?

Answer 5

If x^2 +kx +2 = (x-k/2)^2 where k is even and not 0, then the equation has an integer solution.

Choose such a k and u r done.