Question

encontrar la solución aplicando la fórmula general para ecuaciones cuadraticas x a la 2 + 7 * + 1 = 0 ​

Answer 1

SOLUCIÓN

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                                 $Sea\:la\:ecuaci\'on\:cuadr\'atica:\\\\\\ax^2+bx+c=0\\\\\\Por\:f\'ormula\:general\:tenemos\:que:\\\\\\\mathrm{\boxed{x_{1,2}=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}}}\\\\\\Del\:problema:\\\\\\a=1,b=7,c=1\\\\\\ Entonces\:reemplazamos\\\\\\x_{1,2}=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x_{1,2}=\dfrac{-(7)\pm \sqrt{(7)^2-[4(1)(1)]}}{2(1)}\\\\\\x_{1,2}=\dfrac{-7\pm \sqrt{49-(4)}}{2}\\\\\\x_{1,2}=\dfrac{-7\pm \sqrt{45}}{2}\\\\\\\Rightarrow \boxed{\boldsymbol{x_{1}=\dfrac{-7+3\sqrt{5}}{2}}}$

                                 $\Rightarrow \boxed{\boldsymbol{x_{2}=\dfrac{-7-3\sqrt{5}}{2}}}$