Solve {l}{x_{1}+x_{2}=-b/a}{x_{1}*x_{2}=c/a}

\left\{ \begin{array} { l } { x _ { 1 } + x _ { 2 } = - \frac { b } { a } } \\ { x _ { 1 } \cdot x _ { 2 } = \frac { c } { a } } \end{array} \right.

Solve for x_1, x_2 (complex solution)

x_{1}=-\frac{\sqrt{b^{2}-4ac}+b}{2a}\text{, }x_{2}=-\frac{-\sqrt{b^{2}-4ac}+b}{2a}

x_{1}=-\frac{-\sqrt{b^{2}-4ac}+b}{2a}\text{, }x_{2}=-\frac{\sqrt{b^{2}-4ac}+b}{2a}\text{, }a\neq 0

Solve for x_1, x_2

x_{1}=-\frac{\sqrt{b^{2}-4ac}+b}{2a}\text{, }x_{2}=-\frac{-\sqrt{b^{2}-4ac}+b}{2a}

x_{1}=-\frac{-\sqrt{b^{2}-4ac}+b}{2a}\text{, }x_{2}=-\frac{\sqrt{b^{2}-4ac}+b}{2a}\text{, }a\neq 0\text{ and }\left(c<0\text{ or }|b|\geq 2\sqrt{ac}\text{ or }a<0\right)\text{ and }\left(c>0\text{ or }|b|\geq 2\sqrt{ac}\text{ or }a>0\right)

Quiz

\left\{ \begin{array} { l } { x _ { 1 } + x _ { 2 } = - \frac { b } { a } } \\ { x _ { 1 } \cdot x _ { 2 } = \frac { c } { a } } \end{array} \right.

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