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[tex]\large\boxed{\begin{array}{l}\sf Denomina-se~equac_{\!\!,}\tilde ao~de~2^{\underline o}~grau~toda~equac_{\!\!,}\tilde ao~que~assume\\\sf a~forma~ax^2+bx+c=0~onde~a,b,e~c\in\mathbb{R},a\ne0.\\\sf a~soluc_{\!\!,}\tilde ao~\acute e~dada~por\\\sf x=\dfrac{-b\pm\sqrt{\Delta}}{2a}~onde~\Delta=b^2-4ac\end{array}}[/tex]
[tex]\large\boxed{\begin{array}{l}\sf 10x^2+72x-64=0\div2\\\sf 5x^2+36x-32=0\\\sf\Delta=b^2-4ac\\\sf\Delta=36^2-4\cdot5\cdot(-32)\\\sf\Delta=1296+640\\\sf\Delta=1936\\\sf x=\dfrac{-b\pm\sqrt{\Delta}}{2a}\\\sf x=\dfrac{-36\pm\sqrt{1936}}{2\cdot5}\\\sf x=\dfrac{-36\pm44}{10}\begin{cases}\sf x_1=\dfrac{-36+44}{10}=\dfrac{8\div2}{10\div2}=\dfrac{4}{5}\\\sf x_2=\dfrac{-36-44}{10}=-\dfrac{80}{10}=-8\end{cases}\\\sf S=\bigg\{-8,\dfrac{4}{5}\bigg\}\end{array}}[/tex]
