$$ \begin{gathered} f(x)=R(x,\sqrt{ax^{2}+bx+c}) \Rightarrow \begin{cases} c > 0 \rightarrow tx \pm \sqrt{c} \\ a > 0 \rightarrow t \pm \sqrt{a}x \\ \Delta > 0 \rightarrow t(x-x_{1}) \end{cases} \end{gathered} $$