Question

Atividades: Resolva as equações comple a) 36y² - 13y + 1 =0​

Answer 1

$\Large\mathsf\displaystyle{} {36y}^{2} - 13y + 1 = 0 \\\\ \Large\mathsf\displaystyle{} {36y}^{2} - 4y - 9y + 1 = 0 \\\Large\mathsf\displaystyle{}4y\cdot \left(9y - 1\right) - \left(9y - 1\right) = 0 \\ \Large\mathsf\displaystyle{}\left(9y - 1\right)\cdot\left(4y - 1\right) = 0 \\ \Large\mathsf\displaystyle{}9y - 1 = 0 \\ \Large\mathsf\displaystyle{}4y - 1 = 0 \\\\\\ \Large\mathsf\displaystyle{}y = \dfrac{1}{9} \\\\ \Large\mathsf\displaystyle{}y = \dfrac{1}{4}$

Solução:

$\Large\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{ y_{1} = \dfrac{1}{9} }}}\end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{ y_{2} = \dfrac{1}{4} }}}\end{gathered} }$

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