Question

rezolva ecuatia. ײ-6 supra lui ×-3 = × supra lui ×-3​

Answer 1

$\it Condi\c{\it t}ia\ de\ existen\c{\it t}\breve a\ a\ ecua\c{\it t}iei\ este \ x-3\ne0 \Rightarrow x\ne3\\ \\ \\ \dfrac{x^2-6}{x-3}=\dfrac{x}{x-3}\bigg|_{\cdot(x-3)} \Rightarrow x^2-6=x \Rightarrow x^2-x=6 \Rightarrow \\ \\ \\ \Rightarrow x(x-1)=6=(-2)\cdot(-3)=3\cdot2 \Rightarrow \begin{cases} \it x_1=-2\\ \\ \it x_2=3\ \ (nu\ \ convine)\end{cases}\\ \\ Ecua\c{\it t}ia\ admite\ solu\c{\it t}ia\ \ unic\breve a\ \ x=-2$