If $\mathrm{p},\mathrm{q}\in \{1,2,3,4,5\}$, then number of equations of the form ${\mathrm{p}}^2{\mathrm{x}}^2+{\mathrm{q}}^2\mathrm{x}+1=0$ having real roots is

$\text{For real roots we get }{\mathrm{q}}^4-4{\mathrm{p}}^2\ge 0\Rightarrow {\mathrm{q}}^4\ge 2\mathrm{p}$
$\begin{array}{l}\text{If }\mathrm{p}=1\Rightarrow \mathrm{q}=2,3,4,5\\ \begin{array}{l}\mathrm{p}=2\Rightarrow \mathrm{q}=2,3,4,5\\ \mathrm{p}=3\Rightarrow \mathrm{q}=3,4,5\end{array}\\ \mathrm{p}=4\Rightarrow \mathrm{q}=3,4,5;\mathrm{p}=5\Rightarrow \mathrm{q}=4,5\end{array}$
Total number of different posibilities = 16