x^2-2x-1/x-2+2/x-3

+ desigualdades

¡Resolver la desigualdad!

En la desigualdad la incógnita

Solución

Ha introducido [src]

 2         1       2        
x  - 2*x - - - 2 + - - 3 < x
           x       x        

$$\left(\left(\left(\left(x^{2} - 2 x\right) - \frac{1}{x}\right) - 2\right) + \frac{2}{x}\right) - 3 < x$$

x^2 - 2*x - 1/x - 2 + 2/x - 3 < x

Solución de la desigualdad en el gráfico

Respuesta rápida 2 [src]

        / 3      2             \               / 3      2             \         / 3      2             \ 
(CRootOf\x  - 3*x  - 5*x + 1, 0/, 0) U (CRootOf\x  - 3*x  - 5*x + 1, 1/, CRootOf\x  - 3*x  - 5*x + 1, 2/)

$$x\ in\ \left(\operatorname{CRootOf} {\left(x^{3} - 3 x^{2} - 5 x + 1, 0\right)}, 0\right) \cup \left(\operatorname{CRootOf} {\left(x^{3} - 3 x^{2} - 5 x + 1, 1\right)}, \operatorname{CRootOf} {\left(x^{3} - 3 x^{2} - 5 x + 1, 2\right)}\right)$$

x in Union(Interval.open(CRootOf(x^3 - 3*x^2 - 5*x + 1, 0), 0), Interval.open(CRootOf(x^3 - 3*x^2 - 5*x + 1, 1), CRootOf(x^3 - 3*x^2 - 5*x + 1, 2)))

Respuesta rápida [src]

  /   /              / 3      2             \    \     /           / 3      2             \         / 3      2             \    \\
Or\And\x < 0, CRootOf\x  - 3*x  - 5*x + 1, 0/ < x/, And\x < CRootOf\x  - 3*x  - 5*x + 1, 2/, CRootOf\x  - 3*x  - 5*x + 1, 1/ < x//

$$\left(x < 0 \wedge \operatorname{CRootOf} {\left(x^{3} - 3 x^{2} - 5 x + 1, 0\right)} < x\right) \vee \left(x < \operatorname{CRootOf} {\left(x^{3} - 3 x^{2} - 5 x + 1, 2\right)} \wedge \operatorname{CRootOf} {\left(x^{3} - 3 x^{2} - 5 x + 1, 1\right)} < x\right)$$

((x < 0)∧(CRootOf(x^3 - 3*x^2 - 5*x + 1, 0) < x))∨((x < CRootOf(x^3 - 3*x^2 - 5*x + 1, 2))∧(CRootOf(x^3 - 3*x^2 - 5*x + 1, 1) < x))

Gráfico