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(3(x^3-9x^2+27x-27))/((x-2)^2*(x+5))>=(2x(x-3)^3)/(x^2-4x+4)*(x+5) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
  / 3      2            \               3        
3*\x  - 9*x  + 27*x - 27/    2*x*(x - 3)         
------------------------- >= ------------*(x + 5)
            2                 2                  
     (x - 2) *(x + 5)        x  - 4*x + 4        
$$\frac{3 \left(\left(27 x + \left(x^{3} - 9 x^{2}\right)\right) - 27\right)}{\left(x - 2\right)^{2} \left(x + 5\right)} \geq \frac{2 x \left(x - 3\right)^{3}}{\left(x^{2} - 4 x\right) + 4} \left(x + 5\right)$$
(3*(27*x + x^3 - 9*x^2 - 27))/(((x - 2)^2*(x + 5))) >= (((2*x)*(x - 3)^3)/(x^2 - 4*x + 4))*(x + 5)
Respuesta rápida [src]
  /                                             /       /   3       2              \            \\
Or\And(x <= 3, 2 < x), And(-oo < x, x < -5), And\CRootOf\2*x  + 20*x  + 50*x - 3, 0/ <= x, x < 2//
$$\left(x \leq 3 \wedge 2 < x\right) \vee \left(-\infty < x \wedge x < -5\right) \vee \left(\operatorname{CRootOf} {\left(2 x^{3} + 20 x^{2} + 50 x - 3, 0\right)} \leq x \wedge x < 2\right)$$
((x <= 3)∧(2 < x))∨((-oo < x)∧(x < -5))∨((x < 2)∧(CRootOf(2*x^3 + 20*x^2 + 50*x - 3, 0) <= x))
Respuesta rápida 2 [src]
                    /   3       2              \             
(-oo, -5) U [CRootOf\2*x  + 20*x  + 50*x - 3, 0/, 2) U (2, 3]
$$x\ in\ \left(-\infty, -5\right) \cup \left[\operatorname{CRootOf} {\left(2 x^{3} + 20 x^{2} + 50 x - 3, 0\right)}, 2\right) \cup \left(2, 3\right]$$
x in Union(Interval.open(-oo, -5), Interval.Lopen(2, 3), Interval.Ropen(CRootOf(2*x^3 + 20*x^2 + 50*x - 3, 0), 2))