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x^2+3*x+1/x-10>0

x^2+3*x+1/x-10>0 desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
 2         1         
x  + 3*x + - - 10 > 0
           x         
$$\left(\left(x^{2} + 3 x\right) + \frac{1}{x}\right) - 10 > 0$$
x^2 + 3*x + 1/x - 10 > 0
Solución de la desigualdad en el gráfico
Respuesta rápida 2 [src]
             / 3      2              \               / 3      2              \            / 3      2              \     
(-oo, CRootOf\x  + 3*x  - 10*x + 1, 0/) U (0, CRootOf\x  + 3*x  - 10*x + 1, 1/) U (CRootOf\x  + 3*x  - 10*x + 1, 2/, oo)
$$x\ in\ \left(-\infty, \operatorname{CRootOf} {\left(x^{3} + 3 x^{2} - 10 x + 1, 0\right)}\right) \cup \left(0, \operatorname{CRootOf} {\left(x^{3} + 3 x^{2} - 10 x + 1, 1\right)}\right) \cup \left(\operatorname{CRootOf} {\left(x^{3} + 3 x^{2} - 10 x + 1, 2\right)}, \infty\right)$$
x in Union(Interval.open(-oo, CRootOf(x^3 + 3*x^2 - 10*x + 1, 0)), Interval.open(0, CRootOf(x^3 + 3*x^2 - 10*x + 1, 1)), Interval.open(CRootOf(x^3 + 3*x^2 - 10*x + 1, 2), oo))
Respuesta rápida [src]
  /   /                    / 3      2              \\     /                  / 3      2              \\         / 3      2              \    \
Or\And\-oo < x, x < CRootOf\x  + 3*x  - 10*x + 1, 0//, And\0 < x, x < CRootOf\x  + 3*x  - 10*x + 1, 1//, CRootOf\x  + 3*x  - 10*x + 1, 2/ < x/
$$\left(-\infty < x \wedge x < \operatorname{CRootOf} {\left(x^{3} + 3 x^{2} - 10 x + 1, 0\right)}\right) \vee \left(0 < x \wedge x < \operatorname{CRootOf} {\left(x^{3} + 3 x^{2} - 10 x + 1, 1\right)}\right) \vee \operatorname{CRootOf} {\left(x^{3} + 3 x^{2} - 10 x + 1, 2\right)} < x$$
(CRootOf(x^3 + 3*x^2 - 10*x + 1, 2) < x)∨((-oo < x)∧(x < CRootOf(x^3 + 3*x^2 - 10*x + 1, 0)))∨((0 < x)∧(x < CRootOf(x^3 + 3*x^2 - 10*x + 1, 1)))
Gráfico
x^2+3*x+1/x-10>0 desigualdades