Sr Examen

Otras calculadoras

(sqrt(3+x)*(x+1)^2)/16-x^2<0 desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
  _______        2         
\/ 3 + x *(x + 1)     2    
------------------ - x  < 0
        16                 
$$- x^{2} + \frac{\left(x + 1\right)^{2} \sqrt{x + 3}}{16} < 0$$
-x^2 + ((x + 1)^2*sqrt(x + 3))/16 < 0
Solución de la desigualdad en el gráfico
Respuesta rápida [src]
  /   /                    / 5        4       3       2              \\     /           / 5        4       3       2              \         / 5        4       3       2              \    \\
Or\And\-3 <= x, x < CRootOf\x  - 249*x  + 18*x  + 22*x  + 13*x + 3, 0//, And\x < CRootOf\x  - 249*x  + 18*x  + 22*x  + 13*x + 3, 2/, CRootOf\x  - 249*x  + 18*x  + 22*x  + 13*x + 3, 1/ < x//
$$\left(-3 \leq x \wedge x < \operatorname{CRootOf} {\left(x^{5} - 249 x^{4} + 18 x^{3} + 22 x^{2} + 13 x + 3, 0\right)}\right) \vee \left(x < \operatorname{CRootOf} {\left(x^{5} - 249 x^{4} + 18 x^{3} + 22 x^{2} + 13 x + 3, 2\right)} \wedge \operatorname{CRootOf} {\left(x^{5} - 249 x^{4} + 18 x^{3} + 22 x^{2} + 13 x + 3, 1\right)} < x\right)$$
((-3 <= x)∧(x < CRootOf(x^5 - 249*x^4 + 18*x^3 + 22*x^2 + 13*x + 3, 0)))∨((x < CRootOf(x^5 - 249*x^4 + 18*x^3 + 22*x^2 + 13*x + 3, 2))∧(CRootOf(x^5 - 249*x^4 + 18*x^3 + 22*x^2 + 13*x + 3, 1) < x))
Respuesta rápida 2 [src]
            / 5        4       3       2              \            / 5        4       3       2              \         / 5        4       3       2              \ 
[-3, CRootOf\x  - 249*x  + 18*x  + 22*x  + 13*x + 3, 0/) U (CRootOf\x  - 249*x  + 18*x  + 22*x  + 13*x + 3, 1/, CRootOf\x  - 249*x  + 18*x  + 22*x  + 13*x + 3, 2/)
$$x\ in\ \left[-3, \operatorname{CRootOf} {\left(x^{5} - 249 x^{4} + 18 x^{3} + 22 x^{2} + 13 x + 3, 0\right)}\right) \cup \left(\operatorname{CRootOf} {\left(x^{5} - 249 x^{4} + 18 x^{3} + 22 x^{2} + 13 x + 3, 1\right)}, \operatorname{CRootOf} {\left(x^{5} - 249 x^{4} + 18 x^{3} + 22 x^{2} + 13 x + 3, 2\right)}\right)$$
x in Union(Interval.Ropen(-3, CRootOf(x^5 - 249*x^4 + 18*x^3 + 22*x^2 + 13*x + 3, 0)), Interval.open(CRootOf(x^5 - 249*x^4 + 18*x^3 + 22*x^2 + 13*x + 3, 1), CRootOf(x^5 - 249*x^4 + 18*x^3 + 22*x^2 + 13*x + 3, 2)))