Question

cuanto sale
x²-x-3=0

Answer 1

Respuesta:

$\texttt{\sl{Las ra\'ices son:}}\\\\x_{1}=\frac{1}{2}+\frac{\sqrt{13}}{2}\\\\x_{2}=\frac{1}{2}-\frac{\sqrt{13}}{2}$

Explicación paso a paso:

$\texttt{\sl{La expresi\'on es}}\\\\x^{2}-x+3=0\\\\\texttt{\sl{Usaremos la f\'ormula general para hallar las}}\\\texttt{\sl{ra\'ices, entonces identificando a=1, b=-1 y c=-3; nos queda:}}\\\\x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}\\\\x=\frac{1\pm\sqrt{(-1)^{2}-4(1)(-3)}}{2(1)}\\\\x=\frac{1\pm\sqrt{1+12}}{2}\\\\x=\frac{1\pm\sqrt{13}}{2}\\\\x_{1}=\frac{1}{2}+\frac{\sqrt{13}}{2}\\\\x_{2}=\frac{1}{2}-\frac{\sqrt{13}}{2}\\\\\texttt{SALUDOS}$