what is the quadratic formula?
of this form ax^2+bx+c=0
\[\Huge x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}\]
its sooo beautiful^
x=[-b + - sqrt(b^2-4ac)]/2a
and the number under the square root: b^2-4ac is called the discriminant. When it is <0 --> there are no real solutions when it is = 0 --> there is only one real solutoin when it it >0 --> there are two real solutions when it is a perfect square --> the solutions will be rational numbers
\[\Huge \begin{array}l\color{red}{\text{T}}\color{orange}{\text{h}}\color{#9c9a2e}{\text{a}}\color{green}{\text{n}}\color{blue}{\text{k}}\color{purple}{\text{s}}\color{purple}{\text{ }}\color{red}{\text{S}}\color{orange}{\text{m}}\color{#9c9a2e}{\text{a}}\color{green}{\text{r}}\color{blue}{\text{t}}\color{purple}{\text{a}}\color{purple}{\text{s}}\color{red}{\text{s}}\color{orange}{\text{.}}\color{#9c9a2e}{\text{ }}\color{green}{\text{^}}\color{blue}{\text{_}}\color{purple}{\text{^}}\color{purple}{\text{}}\end{array} \]
FOIL !
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