Question

Resolva graficamente a inequação de 2º grau com duas incógnitas:
x² + y² - 2x – 2y + 1 > 0

Answer 1

Resposta:

• $\left\{\begin{matrix}x\neq 1\text{, }&y=2\text{ or }y=0\\x\in \mathrm{R}\text{, }&y<0\text{ or }y>2\\x\in \left(\sqrt{y\left(2-y\right)}+1,\infty\right)\cup \left(-\infty,-\sqrt{y\left(2-y\right)}+1\right)\text{, }&y>0\text{ and }y<2\end{matrix}\right.$
• $\left\{\begin{matrix}y\neq 1\text{, }&x=2\text{ or }x=0\\y\in \mathrm{R}\text{, }&x<0\text{ or }x>2\\y\in \left(\sqrt{x\left(2-x\right)}+1,\infty\right)\cup \left(-\infty,-\sqrt{x\left(2-x\right)}+1\right)\text{, }&x>0\text{ and }x<2\end{matrix}\right.$