Question

x^2+x-6=0 formula general​

Answer 1

Respuesta:

$\boxed{\mathbf{x^{2}+x-6=0\,\,,x_{1}=2\,\,,x_{2}=-3}}$

Explicación paso a paso:

$x^{2}+x-6=0$

$\textbf{Identificamos los coeficientes:}\\a=1\,,b=1\,\,,c=-6$

$\texttt{Aplicamos la f\'ormula general}\\x=\frac{-1\pm\sqrt{(1)^{2}-4(1)(-6)}}{2(1)}\\\\x=\frac{-1\pm\sqrt{1+24}}{2}\\\\x=\frac{-1\pm\sqrt{25}}{2}\\\\x=\frac{-1\pm 5}{2}\\\\x_{1}=\frac{-1+5}{2}=\frac{4}{2}=2\\\\x_{2}=\frac{-1-5}{2}=\frac{-6}{2}=-3$