Find the largest integer k such that the equation
5x^2 - kx + 8 = 4x^2
has no real solutions.
5x^2 -kx + 8 = 4x^2
x^2 -kx + 8 =0
If this has no real solutions, the discriminant < 0
So
k^2 - 4*8 < 0
k^2 < 32
k < [ sqrt (32) ] =
k < 5.66
5 is the largest integer
