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((2)/(25x^2-10x-8)+(25x^2-10x-8)/(2))^2>=4

((2)/(25x^2-10x-8)+(25x^2-10x-8)/(2))^2>=4 desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
                                     2     
/                       2           \      
|       2           25*x  - 10*x - 8|      
|---------------- + ----------------|  >= 4
|    2                     2        |      
\25*x  - 10*x - 8                   /      
$$\left(\frac{\left(25 x^{2} - 10 x\right) - 8}{2} + \frac{2}{\left(25 x^{2} - 10 x\right) - 8}\right)^{2} \geq 4$$
((25*x^2 - 10*x - 8)/2 + 2/(25*x^2 - 10*x - 8))^2 >= 4
Solución de la desigualdad en el gráfico
Respuesta rápida [src]
Or(And(-2/5 < x, x < 4/5), And(4/5 < x, x < oo), x < -2/5)
$$\left(- \frac{2}{5} < x \wedge x < \frac{4}{5}\right) \vee \left(\frac{4}{5} < x \wedge x < \infty\right) \vee x < - \frac{2}{5}$$
(x < -2/5)∨((-2/5 < x)∧(x < 4/5))∨((4/5 < x)∧(x < oo))
Respuesta rápida 2 [src]
(-oo, -2/5) U (-2/5, 4/5) U (4/5, oo)
$$x\ in\ \left(-\infty, - \frac{2}{5}\right) \cup \left(- \frac{2}{5}, \frac{4}{5}\right) \cup \left(\frac{4}{5}, \infty\right)$$
x in Union(Interval.open(-oo, -2/5), Interval.open(-2/5, 4/5), Interval.open(4/5, oo))
Gráfico
((2)/(25x^2-10x-8)+(25x^2-10x-8)/(2))^2>=4 desigualdades