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25x^3-245x^2+184x-36/(x-8)(x-3)>=0 desigualdades

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Solución

Ha introducido [src]
    3        2             36              
25*x  - 245*x  + 184*x - -----*(x - 3) >= 0
                         x - 8             
$$- \frac{36}{x - 8} \left(x - 3\right) + \left(184 x + \left(25 x^{3} - 245 x^{2}\right)\right) \geq 0$$
-36/(x - 8)*(x - 3) + 184*x + 25*x^3 - 245*x^2 >= 0
Respuesta rápida [src]
  /   /            /    4        3         2                  \         /    4        3         2                  \     \     /       /    4        3         2                  \            \     /       /    4        3         2                  \             \\
Or\And\x <= CRootOf\25*x  - 445*x  + 2144*x  - 1508*x + 108, 1/, CRootOf\25*x  - 445*x  + 2144*x  - 1508*x + 108, 0/ <= x/, And\CRootOf\25*x  - 445*x  + 2144*x  - 1508*x + 108, 2/ <= x, x < 8/, And\CRootOf\25*x  - 445*x  + 2144*x  - 1508*x + 108, 3/ <= x, x < oo//
$$\left(x \leq \operatorname{CRootOf} {\left(25 x^{4} - 445 x^{3} + 2144 x^{2} - 1508 x + 108, 1\right)} \wedge \operatorname{CRootOf} {\left(25 x^{4} - 445 x^{3} + 2144 x^{2} - 1508 x + 108, 0\right)} \leq x\right) \vee \left(\operatorname{CRootOf} {\left(25 x^{4} - 445 x^{3} + 2144 x^{2} - 1508 x + 108, 2\right)} \leq x \wedge x < 8\right) \vee \left(\operatorname{CRootOf} {\left(25 x^{4} - 445 x^{3} + 2144 x^{2} - 1508 x + 108, 3\right)} \leq x \wedge x < \infty\right)$$
((x < 8)∧(CRootOf(25*x^4 - 445*x^3 + 2144*x^2 - 1508*x + 108, 2) <= x))∨((x < oo)∧(CRootOf(25*x^4 - 445*x^3 + 2144*x^2 - 1508*x + 108, 3) <= x))∨((x <= CRootOf(25*x^4 - 445*x^3 + 2144*x^2 - 1508*x + 108, 1))∧(CRootOf(25*x^4 - 445*x^3 + 2144*x^2 - 1508*x + 108, 0) <= x))
Respuesta rápida 2 [src]
        /    4        3         2                  \         /    4        3         2                  \            /    4        3         2                  \               /    4        3         2                  \     
[CRootOf\25*x  - 445*x  + 2144*x  - 1508*x + 108, 0/, CRootOf\25*x  - 445*x  + 2144*x  - 1508*x + 108, 1/] U [CRootOf\25*x  - 445*x  + 2144*x  - 1508*x + 108, 2/, 8) U [CRootOf\25*x  - 445*x  + 2144*x  - 1508*x + 108, 3/, oo)
$$x\ in\ \left[\operatorname{CRootOf} {\left(25 x^{4} - 445 x^{3} + 2144 x^{2} - 1508 x + 108, 0\right)}, \operatorname{CRootOf} {\left(25 x^{4} - 445 x^{3} + 2144 x^{2} - 1508 x + 108, 1\right)}\right] \cup \left[\operatorname{CRootOf} {\left(25 x^{4} - 445 x^{3} + 2144 x^{2} - 1508 x + 108, 2\right)}, 8\right) \cup \left[\operatorname{CRootOf} {\left(25 x^{4} - 445 x^{3} + 2144 x^{2} - 1508 x + 108, 3\right)}, \infty\right)$$
x in Union(Interval(CRootOf(25*x^4 - 445*x^3 + 2144*x^2 - 1508*x + 108, 0), CRootOf(25*x^4 - 445*x^3 + 2144*x^2 - 1508*x + 108, 1)), Interval.Ropen(CRootOf(25*x^4 - 445*x^3 + 2144*x^2 - 1508*x + 108, 2), 8), Interval(CRootOf(25*x^4 - 445*x^3 + 2144*x^2 - 1508*x + 108, 3), oo))