Question

$2x + y = 5 \\ x2 - {y}^{2} = 8$
Resolva os siguiente sistema

Answer 1

$2x+y=5 \Rightarrow y=5-2x$
Ao mesmo tempo:
$x^{2}+y^{2}=8 \Rightarrow x^{2}+(5-2x)^2=8 \Rightarrow x^2+25-20x+4x^2=8$
$5x^2-20x+17=0$
$\Delta=400-340=60$
$x_{1}=\frac{20+\sqrt{60}}{10} \simeq 2,7746 \Rightarrow y_{1}=-0,54919$
$x_{2}=\frac{20-\sqrt{60}}{10}\simeq 1,2254 \Rightarrow y_{2}=2,5492$