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3.1 Ecuación cuadrática

Resuelve (2x^2-5x+2=0).

Solución (fórmula cuadrática):

[ x=\frac5\pm\sqrt(-5)^2-4\cdot2\cdot22\cdot2 = \frac5\pm\sqrt25-164 = \frac5\pm34. ]

[ \Rightarrow x_1=2,\qquad x_2= \frac12. ]

3.2 Inecuación de segundo grado

(\displaystyle x^2-4x-5>0).

Solución:

Factorizamos: ((x-5)(x+1)>0).
Los signos cambian en los puntos críticos (x=-1) y (x=5).

[ \boxed(-\infty,-1)\cup(5,\infty). ]

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