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

Will have no real solutions when

k^2 - 4*3*33 < 0

k^2  - 396 < 0

k^2 < 396

k < sqrt (396)

k = 19