TeX source:
\begin{array}{rclcl} 0 &=& 4x^2+3x-5 & \vert & :4 \cr 0 &=& x^2+\dfrac{3}{4}x-\dfrac{5}{4} \cr\cr x_{3,4} &=& -\dfrac{3}{8} \pm\sqrt{\left(\dfrac{3}{8}\right)^2+\dfrac{5}{4}} \cr\cr &=& -\dfrac{3}{8} \pm\sqrt{\dfrac{89}{64}} \cr\cr x_3 &=& -\dfrac{3+\sqrt{89}}{8} \approx 0{,}80 & & \rightarrow \quad P_3\left(-\dfrac{3+\sqrt{89}}{8} \mid 0\right) \cr\cr x_4 &=& -\dfrac{3-\sqrt{89}}{8} \approx -1{,}55 & & \rightarrow \quad P_4\left(-\dfrac{3-\sqrt{89}}{8} \mid 0\right) \end{array}