Ans: $k>49$
Since the equation has no real roots, then $\Delta<0$.
Since the equation has no real roots, then $\Delta<0$.
$\begin{array}{rcl}
(14)^2 – 4(1)(k) & < & 0 \\
196 -4k & < & 0 \\
-4k & < & -196 \\
k & > & 49
\end{array}$