Question

3x²+2x+1=0 es por fórmula general

Answer 1

SOLUCIÓN

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                     $Sea\:la\:ecuaci\'on\:cuadr\'atica:\\\\ax^2+bx+c=0\\\\\\Por\:f\'ormula\:general\:tenemos\:que:\\\\\mathrm{\boxed{x_{1,2}=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}}}\\\\\\Del\:problema:\\\\a=3,b=2,c=1\\\\\\ Entonces\:reemplazamos\\\\x_{1,2}=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x_{1,2}=\dfrac{-(2)\pm \sqrt{(2)^2-[4(3)(1)]}}{2(3)}\\\\\\x_{1,2}=\dfrac{-2\pm \sqrt{4-(12)}}{6}\\\\\\x_{1,2}=\dfrac{-2\pm \sqrt{-8}}{6}\\\\\\x_{1,2}=\dfrac{-2\pm2\sqrt{2}i}{6}$

                    $\boxed{\boxed{\boldsymbol{x_1=\dfrac{-1+\sqrt{2}i}{3}}}}\\\\\\\boxed{\boxed{\boldsymbol{x_2=\dfrac{-1-\sqrt{2}i}{3}}}}$