Question

3xelevado a 2 +6×+2=0​

Answer 1

$3x^{2} + 6 x+2=0\\\\a=3\\b=6\\c=2\\\\\\x=\cfrac{-b\pm\sqrt{\Delta} }{2.a} \\\\\\\Delta=b^{2} -4.a.c$

$\Delta= 6^{2} -4.3.2\\\\\Delta=12\\\\\\A \ raiz \ quadrada \ de \ 12 \ n\~ao \ e\´ \ \\exata \ , \ portanto \ vou \ fatorar .$

$x = \dfrac{-b \pm \sqrt{\triangle}}{2a} \\\\\\x = \dfrac{-(6) \pm \sqrt{12}}{2.3} \\ \\ \\x = \dfrac{-(6) \pm 2\sqrt{3}}{6} \\ \\ \\x' = \dfrac{-3 - 2\sqrt{3}}{3} \\ \\ \\x'' = \dfrac{-3 + 2\sqrt{3}}{3}$

$S=\{ \dfrac{-3 + 2\sqrt{3}}{3} \ , \ \dfrac{-3 - 2\sqrt{3}}{3}\}$