For what values of p the curves y = 2px + 1 and y = (p - 6)x² - 2 do not intersect?

Clearly, 2px + l = (p - 6) x² - 2

(p - 6) x² - 2px - 3 = 0 Obviously, D < 0

$\begin{array}{l}4p^2+12(p-6)<0\\ p^2+3(p-6)<0\\ p^2+3p-18<0\\ (p+6)(p-3)<0\\ -6<p<3\end{array}$