Question

2-) Qual a solução da equação
[ x 2] [6 3]
[ -1 x] =[2 x]​

Answer 1

$\mathsf{\begin{bmatrix}x&2\\-1&x\end{bmatrix}=\begin{bmatrix}6&3\\2&x\end{bmatrix}}$

$\mathsf{\begin{bmatrix}x&2\\-1&x\end{bmatrix}=\begin{bmatrix}6&3\\2&x\end{bmatrix}}$

$\mathsf{{x}^{2}+2=6x-6}\\\mathsf{{x}^{2}-6x+2+6=0}\\\mathsf{{x}^{2}-6x+8=0}$

$\mathsf{\Delta=36-32=4}\\\mathsf{x=\dfrac{6\pm2}{2}}\\\mathsf{x_{1}=4~~x_{2}=2}$

$\huge\boxed{\boxed{\mathsf{s=\{2,4\}}}}$