Question

c) 6x² = 24

d) 7x² - 14 = 0​

Answer 1

C)

$\Large\mathsf\displaystyle{} {6x}^{2} = 24 \\\Large\mathsf\displaystyle{} {x}^{2} = 4 \\\Large\mathsf\displaystyle{}x = \pm \sqrt{4} \\\Large\mathsf\displaystyle{}x = \pm2 \\\\ \Large\mathsf\displaystyle{}x = - 2 \\ \Large\mathsf\displaystyle{}x = 2$

Solução:

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

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

D)

$\Large\mathsf\displaystyle{} {7x}^{2} - 14 = 0 \\ \Large\mathsf\displaystyle{} {x}^{2} - 2 = 0 \\\Large\mathsf\displaystyle{} {x}^{2} = 2 \\ \Large\mathsf\displaystyle{}x = \pm \sqrt{2} \\ \Large\mathsf\displaystyle{}x = - \sqrt{2} \\ \Large\mathsf\displaystyle{} x = \sqrt{2}$

Solução:

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

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

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