Find the largest integer $k$ such that the equation \[5x^2 - kx + 8 = 0.\]has no real solutions.
For no real solutions, the discriminant needs to be NEGATIVE
b^2 - 4ac <0 b = k a = 5 c = 8
k^2 - 4(5)(8) <0
k^2 < 160
k < 12.65 so the largest INTEGER would be 12