Question

x a la 2 + 3 x + 1 = 0 en formula general cuadratica​

Answer 1

SOLUCIÓN

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                                $Sea\:la\:ecuaci\'on\:cuadr\'atica:\\\\\\ax^2+bx+c=0\\\\\\Por\:f\'ormula\:general\:tenemos\:que:\\\\\\\mathrm{\boxed{x_{1,2}=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}}}\\\\\\Del\:problema:\\\\\\a=1,b=3,c=1\\\\\\ Entonces\:reemplazamos\\\\\\x_{1,2}=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x_{1,2}=\dfrac{-(3)\pm \sqrt{(3)^2-[4(1)(1)]}}{2(1)}\\\\\\x_{1,2}=\dfrac{-3\pm \sqrt{9-(4)}}{2}\\\\\\x_{1,2}=\dfrac{-3\pm \sqrt{5}}{2}\\\\\\x_{1,2}=\dfrac{-3\pm2.23607}{2}$

                               $\Rightarrow\:x_{1}=\dfrac{-3+2.23607}{2}\\\\\\x_{1}=\dfrac{-0.763932}{2}\\\\\\\boxed{\boldsymbol{x_{1}=-0.381966}}\\\\\\\Rightarrow\:x_{2}=\dfrac{-3-2.23607}{2}\\\\\\x_{2}=\dfrac{-5.23607}{2}\\\\\\\boxed{\boldsymbol{x_{2}=-2.61803}}$