Question

Escreva as equações que são do 2° grau com uma incógnita:

a) 3x²​ - 5x +1 = 0​

Answer 1

$\Large\mathsf\displaystyle{} {3x}^{2} - 5x + 1 = 0 \\\\\Large\mathsf\displaystyle{}\begin{cases}a = 3 \\ b = - 5 \\ c = 1\end{cases} \\\\ \Large\mathsf\displaystyle{}x = \dfrac{ - \left( - 5\right) \pm \sqrt{\left( - 5\right)^{2} - 4\cdot3\cdot1 } }{2\cdot3} \\\\\\ \Large\mathsf\displaystyle{}x = \dfrac{5 \pm \sqrt{25 - 12} }{6} \\\\\\ \Large\mathsf\displaystyle{}x = \dfrac{5 \pm \sqrt{13} }{6} \\\\ \\ \Large\mathsf\displaystyle{}x = \dfrac{5 + \sqrt{13} }{6} \\ \\ \\ \Large\mathsf\displaystyle{}x = \dfrac{5 - \sqrt{13} }{6}$

Solução:

$\Large\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{ x_{1} = \dfrac{5 - \sqrt{13} }{6} }}}\end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{ x_{2} = \dfrac{5 + \sqrt{13} }{6} }}}\end{gathered} }$

$\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{{ \red{Bons}} \blue{\:Estudos}}}}\end{gathered} }$