Question

resolva os sistemas de equações 2x + 2y= 6 xy=2

Answer 1

$2x + 2y= 6 \\2x=6-2y \\x= \frac{6-2y}{2} \\ \\xy=2 \\(\frac{6-2y}{2}).y=2 \\\frac{6y-2y^2}{2}=2 \\-2y^2 +6y=4 \\-2y^2 +6y-4=0 \\BASKARA \\ y= \frac{-b+- \sqrt{b^2-4ac} }{2a} \\ y= \frac{-(6)+- \sqrt{(6)^2-4.(-2).(-4)} }{2.(-2)} \\y=\frac{-(6)+- \sqrt{4} }{-4} \left \{ {{y'= \frac{-6+2}{-4}=1 } \atop {y''= \frac{-6-2}{-4}=2 }}} \right. \\ \\x= \frac{6-2y}{2} \\x'= \frac{6-2.1}{2} = 2 \\ou \\x''= \frac{6-2.2}{2}= 1$

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