1. The problem statement, all variables and given/known data Find the number of integral values of 'k' for which the quadratic equation 2x^2 +kx - 4=0 will have two rational solutions. 2. Relevant equations d=(b^2- 4ac)^(1/2) 3. The attempt at a solution If discriminant is a perfect square, then the roots will be rational and unequal. but for how many values of 'k' starting from 2 itself will I check th discriminant to be a perfect square????