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Resolver desigualdades/ (-1/2(x-1)(x-2.5)(x-(19-sqrt(271))/6))(x-(19+sqrt(271))/6)/((x-(5-sqrt(15)/2))(x-(5+sqrt(15)/2))(2x^2-6x+5))>=0

(-1/2(x-1)(x-2.5)(x-(19-sqrt(271))/6))(x-(19+sqrt(271))/6)/((x-(5-sqrt(15)/2))(x-(5+sqrt(15)/2))(2x^2-6x+5))>=0 desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src] 
                    /           _____\ /           _____\     
-(x - 1)            |    19 - \/ 271 | |    19 + \/ 271 |     
---------*(x - 5/2)*|x - ------------|*|x - ------------|     
    2               \         6      / \         6      /     
--------------------------------------------------------- >= 0
   /           ____\ /           ____\                        
   |         \/ 15 | |         \/ 15 | /   2          \       
   |x + -5 + ------|*|x + -5 - ------|*\2*x  - 6*x + 5/       
   \           2   / \           2   /
(x−52)(−x−12)(x−19−2716)(x−271+196)(x+(−5−152))(x+(−5+152))((2x2−6x)+5)≥0\frac{\left(x - \frac{5}{2}\right) \left(- \frac{x - 1}{2}\right) \left(x - \frac{19 - \sqrt{271}}{6}\right) \left(x - \frac{\sqrt{271} + 19}{6}\right)}{\left(x + \left(-5 - \frac{\sqrt{15}}{2}\right)\right) \left(x + \left(-5 + \frac{\sqrt{15}}{2}\right)\right) \left(\left(2 x^{2} - 6 x\right) + 5\right)} \geq 0 
((((x - 5/2)*(-(x - 1)/2))*(x - (19 - sqrt(271))/6))*(x - (sqrt(271) + 19)/6))/((((x - 5 - sqrt(15)/2)*(x - 5 + sqrt(15)/2))*(2*x^2 - 6*x + 5))) >= 0
Solución de la desigualdad en el gráfico
05-25-20-15-10-5101520252000-1000
Respuesta rápida 2 [src] 
        _____                   ____            _____        ____ 
 19   \/ 271                  \/ 15      19   \/ 271       \/ 15  
[-- - -------, 1] U [5/2, 5 - ------) U [-- + -------, 5 + ------)
 6       6                      2        6       6           2
x in [196−2716,1]∪[52,5−152)∪[2716+196,152+5)x\ in\ \left[\frac{19}{6} - \frac{\sqrt{271}}{6}, 1\right] \cup \left[\frac{5}{2}, 5 - \frac{\sqrt{15}}{2}\right) \cup \left[\frac{\sqrt{271}}{6} + \frac{19}{6}, \frac{\sqrt{15}}{2} + 5\right) 
x in Union(Interval.Ropen(5/2, 5 - sqrt(15)/2), Interval(19/6 - sqrt(271)/6, 1), Interval.Ropen(sqrt(271)/6 + 19/6, sqrt(15)/2 + 5))
Respuesta rápida [src] 
  /   /                    ____\     /               _____     \     /       _____                 ____\\
  |   |                  \/ 15 |     |        19   \/ 271      |     |19   \/ 271                \/ 15 ||
Or|And|5/2 <= x, x < 5 - ------|, And|x <= 1, -- - ------- <= x|, And|-- + ------- <= x, x < 5 + ------||
  \   \                    2   /     \        6       6        /     \6       6                    2   //
(52≤x∧x<5−152)∨(x≤1∧196−2716≤x)∨(2716+196≤x∧x<152+5)\left(\frac{5}{2} \leq x \wedge x < 5 - \frac{\sqrt{15}}{2}\right) \vee \left(x \leq 1 \wedge \frac{19}{6} - \frac{\sqrt{271}}{6} \leq x\right) \vee \left(\frac{\sqrt{271}}{6} + \frac{19}{6} \leq x \wedge x < \frac{\sqrt{15}}{2} + 5\right) 
((5/2 <= x)∧(x < 5 - sqrt(15)/2))∨((x <= 1)∧(19/6 - sqrt(271)/6 <= x))∨((19/6 + sqrt(271)/6 <= x)∧(x < 5 + sqrt(15)/2))
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