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

x^2-2x-1/x-2+2/x-3<=x desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
 2         1       2         
x  - 2*x - - - 2 + - - 3 <= x
           x       x         
$$\left(\left(\left(\left(x^{2} - 2 x\right) - \frac{1}{x}\right) - 2\right) + \frac{2}{x}\right) - 3 \leq x$$
x^2 - 2*x - 1/x - 2 + 2/x - 3 <= x
Solución de la desigualdad en el gráfico
Respuesta rápida [src]
  /   /            / 3      2             \         / 3      2             \     \     /       / 3      2             \            \\
Or\And\x <= CRootOf\x  - 3*x  - 5*x + 1, 2/, CRootOf\x  - 3*x  - 5*x + 1, 1/ <= x/, And\CRootOf\x  - 3*x  - 5*x + 1, 0/ <= x, x < 0//
$$\left(x \leq \operatorname{CRootOf} {\left(x^{3} - 3 x^{2} - 5 x + 1, 2\right)} \wedge \operatorname{CRootOf} {\left(x^{3} - 3 x^{2} - 5 x + 1, 1\right)} \leq x\right) \vee \left(\operatorname{CRootOf} {\left(x^{3} - 3 x^{2} - 5 x + 1, 0\right)} \leq x \wedge x < 0\right)$$
((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))
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.Ropen(CRootOf(x^3 - 3*x^2 - 5*x + 1, 0), 0), Interval(CRootOf(x^3 - 3*x^2 - 5*x + 1, 1), CRootOf(x^3 - 3*x^2 - 5*x + 1, 2)))
Gráfico
x^2-2x-1/x-2+2/x-3<=x desigualdades