Question

Um numero multiplicado por3,soma 3,dividi3, subrai 3, calcula a raiz cubica e o resultado final da 3 , qual e este numero ?

Answer 1

✅ Após realizar os cálculos, concluímos que o valor de "x" procurado é:

            $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf x = 29\:\:\:}}\end{gathered} }$

Montando e resolvendo equação:

       $\Large\displaystyle\text{ \begin{gathered} \sqrt[3]{\frac{3x + 3}{3} - 3} = 3\end{gathered} }$

             $\Large\displaystyle\begin{gathered} \frac{3x + 3}{3} - 3= 3^{3}\end{gathered}$

                     $\Large\displaystyle\begin{gathered} \frac{3x + 3}{3} = 27 + 3\end{gathered}$

                      $\Large\displaystyle\begin{gathered} 3x + 3 = 3\cdot30\end{gathered}$

                      $\Large\displaystyle\begin{gathered} 3x + 3 = 90\end{gathered}$

                               $\Large\displaystyle\begin{gathered} 3x = 90 - 3\end{gathered}$

                               $\Large\displaystyle\begin{gathered} 3x = 87\end{gathered}$

                                  $\Large\displaystyle\begin{gathered} x = \frac{87}{3}\end{gathered}$

                                  $\Large\displaystyle\begin{gathered} x= 29\end{gathered}$

Portanto, o valor de "x" é:

                                 $\Large\displaystyle\begin{gathered} x = 29\end{gathered}$

$\LARGE\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{\:\:\:Bons \:estudos!!\:\:\:Boa\: sorte!!\:\:\:}}}\end{gathered} }$

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