Find the largest integer k such that the equation 5x^2 - kx + 8 - 2x^2 + 25 =0 has no real solutions
Simplify as
3x^2 - kx + 33 = 0
This will have no real solutions when the discriminant is < 0
So
k^2 - 4(3) (33) < 0
k^2 - 396 < 0
k^2 < 396
k < sqrt (396)
k = 19
+497 
