Question

How do i put this in a quadratic formula

Answer 1

`\bf ~~~~~~~~~~~~\textit{quadratic formula} \\\\ \begin{array}{lcccl} y=& 7 x^2& +2 x& +8\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x=\cfrac{-2\pm√(2^2~-~4(7)(8))}{2(7)}\implies x=\cfrac{-2\pm√(4-224)}{14} \\\\\\ x=\cfrac{-2\pm√(-220)}{14}\implies x=\cfrac{-2\pm√(2^2\cdot -55)}{14}`


`\bf x=\cfrac{-2\pm 2√(-55)}{14}\implies x=\cfrac{-1\pm 1√(-55)}{7} \\\\\\ x=\cfrac{-1\pm √(55\cdot -1)}{7}\implies x=\cfrac{-1\pm √(55)\cdot √(-1)}{7} \\\\\\ x=\cfrac{-1\pm √(55)~i}{7}\implies x= \begin{cases} -(1)/(7)+(i√(55))/(7)\\\\ -(1)/(7)-(i√(55))/(7) \end{cases}`