Basically to find solutions of the equation. Find the x intercept points.
Equation: x² - 4x + 2
when solved using quadratic formula:
[tex]\dashrightarrow \sf x_{1,2}= \dfrac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4\cdot \:1\cdot \:2}}{2\cdot \:1}[/tex]
[tex]\dashrightarrow \sf x_1 \dfrac{-\left(-4\right)+2\sqrt{2}}{2\cdot \:1},\:x_2=\dfrac{-\left(-4\right)-2\sqrt{2}}{2\cdot \:1}[/tex]
[tex]\dashrightarrow \sf x=2+\sqrt{2}, \ 2-\sqrt{2}[/tex]
[tex]\dashrightarrow \sf x=3.414, \ 0.586[/tex]
These are the solutions to the quadratic equation.
