Question

4) Dada a equação 3x² - 10x +3=0, determinar a soma e o produto das suas raízes. Verifique a resposta encontrada.

preciso rapido, me ajudem
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Answer 1

${3x}^{2} - 10x + 3 = 0 \\ a = 3 \\ b = - 10 \\ c = 3 \\ ( - 10) ^{2} - 4 \times 3 \times 3 \\ 64 \\ duas \: solucoes \: reais \: \:$

Answer 2

$\Large\mathsf\displaystyle{} {3x}^{2} - 10x + 3 = 0 \\ \Large\mathsf\displaystyle{}\begin{cases}a = 3 \\ b = - 10 \\ c = 3\end{cases} \\\\\\ \Large\mathsf\displaystyle{}x = \dfrac{ - \left( - 10\right) \pm \sqrt{\left( - 10\right)^{2} - 4\cdot3\cdot3} }{2\cdot3} \\\\\\ \Large\mathsf\displaystyle{}x = \dfrac{10 \pm \sqrt{100 - 36} }{2\cdot3} \\\\ \\ \Large\mathsf\displaystyle{}x = \dfrac{10 \pm \sqrt{64} }{6} \\\\ \\ \Large\mathsf\displaystyle{}x = \dfrac{10 \pm8}{6} \\\\ \Large\mathsf\displaystyle{}x = \dfrac{10 + 8}{6} \\ \\ \Large\mathsf\displaystyle{}x = \dfrac{10 - 8}{6} \\\\\\ \Large\mathsf\displaystyle{}x = 3 \\ \\ \\ \Large\mathsf\displaystyle{}x = \dfrac{1}{3}$

Solução:

$\Large\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{ x_{1} = \dfrac{1}{3} }}}\end{gathered} } \\ \Large\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{ x_{2} = 3 }}}\end{gathered} }$

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