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x^2-3*x+1>sqrt(3*x-4) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
 2               _________
x  - 3*x + 1 > \/ 3*x - 4 
$$\left(x^{2} - 3 x\right) + 1 > \sqrt{3 x - 4}$$
x^2 - 3*x + 1 > sqrt(3*x - 4)
Solución de la desigualdad en el gráfico
Respuesta rápida [src]
   /                                                                                                        ________________________________________________________________________________________________________________________________    \
   |                                                                                                       /              ___________________             3 ___                                            ___                                  |
   |                                                                                         ___          /        2/3 3 /           _______           38*\/ 2                                        36*\/ 6                                   |
   |                                                                                       \/ 6 *        /   20 - 2   *\/  403 + 3*\/ 14997   - ---------------------- + ------------------------------------------------------------------     |
   |                         ___________________________________________________________                /                                          ___________________          ___________________________________________________________     |
   |                        /              ___________________             3 ___                       /                                        3 /           _______          /              ___________________             3 ___             |
   |              ___      /        2/3 3 /           _______           38*\/ 2                       /                                         \/  403 + 3*\/ 14997          /        2/3 3 /           _______           38*\/ 2              |
   |            \/ 6 *    /   10 + 2   *\/  403 + 3*\/ 14997   + ----------------------              /                                                                       /   10 + 2   *\/  403 + 3*\/ 14997   + ----------------------      |
   |                     /                                          ___________________             /                                                                       /                                          ___________________      |
   |                    /                                        3 /           _______             /                                                                       /                                        3 /           _______       |
   |        3         \/                                         \/  403 + 3*\/ 14997            \/                                                                      \/                                         \/  403 + 3*\/ 14997        |
And|x < oo, - + ------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------- < x|
   \        2                                      12                                                                                                              12                                                                           /
$$x < \infty \wedge \frac{\sqrt{6} \sqrt{- 2^{\frac{2}{3}} \sqrt[3]{3 \sqrt{14997} + 403} - \frac{38 \sqrt[3]{2}}{\sqrt[3]{3 \sqrt{14997} + 403}} + \frac{36 \sqrt{6}}{\sqrt{\frac{38 \sqrt[3]{2}}{\sqrt[3]{3 \sqrt{14997} + 403}} + 10 + 2^{\frac{2}{3}} \sqrt[3]{3 \sqrt{14997} + 403}}} + 20}}{12} + \frac{\sqrt{6} \sqrt{\frac{38 \sqrt[3]{2}}{\sqrt[3]{3 \sqrt{14997} + 403}} + 10 + 2^{\frac{2}{3}} \sqrt[3]{3 \sqrt{14997} + 403}}}{12} + \frac{3}{2} < x$$
(x < oo)∧(3/2 + sqrt(6)*sqrt(10 + 2^(2/3)*(403 + 3*sqrt(14997))^(1/3) + 38*2^(1/3)/(403 + 3*sqrt(14997))^(1/3))/12 + sqrt(6)*sqrt(20 - 2^(2/3)*(403 + 3*sqrt(14997))^(1/3) - 38*2^(1/3)/(403 + 3*sqrt(14997))^(1/3) + 36*sqrt(6)/sqrt(10 + 2^(2/3)*(403 + 3*sqrt(14997))^(1/3) + 38*2^(1/3)/(403 + 3*sqrt(14997))^(1/3)))/12 < x)
Respuesta rápida 2 [src]
                                                                                                 ________________________________________________________________________________________________________________________________     
                                                                                                /              ___________________             3 ___                                            ___                                   
                                                                                  ___          /        2/3 3 /           _______           38*\/ 2                                        36*\/ 6                                    
                                                                                \/ 6 *        /   20 - 2   *\/  403 + 3*\/ 14997   - ---------------------- + ------------------------------------------------------------------      
                  ___________________________________________________________                /                                          ___________________          ___________________________________________________________      
                 /              ___________________             3 ___                       /                                        3 /           _______          /              ___________________             3 ___              
       ___      /        2/3 3 /           _______           38*\/ 2                       /                                         \/  403 + 3*\/ 14997          /        2/3 3 /           _______           38*\/ 2               
     \/ 6 *    /   10 + 2   *\/  403 + 3*\/ 14997   + ----------------------              /                                                                       /   10 + 2   *\/  403 + 3*\/ 14997   + ----------------------       
              /                                          ___________________             /                                                                       /                                          ___________________       
             /                                        3 /           _______             /                                                                       /                                        3 /           _______        
 3         \/                                         \/  403 + 3*\/ 14997            \/                                                                      \/                                         \/  403 + 3*\/ 14997         
(- + ------------------------------------------------------------------------ + -------------------------------------------------------------------------------------------------------------------------------------------------, oo)
 2                                      12                                                                                                              12                                                                            
$$x\ in\ \left(\frac{\sqrt{6} \sqrt{- 2^{\frac{2}{3}} \sqrt[3]{3 \sqrt{14997} + 403} - \frac{38 \sqrt[3]{2}}{\sqrt[3]{3 \sqrt{14997} + 403}} + \frac{36 \sqrt{6}}{\sqrt{\frac{38 \sqrt[3]{2}}{\sqrt[3]{3 \sqrt{14997} + 403}} + 10 + 2^{\frac{2}{3}} \sqrt[3]{3 \sqrt{14997} + 403}}} + 20}}{12} + \frac{\sqrt{6} \sqrt{\frac{38 \sqrt[3]{2}}{\sqrt[3]{3 \sqrt{14997} + 403}} + 10 + 2^{\frac{2}{3}} \sqrt[3]{3 \sqrt{14997} + 403}}}{12} + \frac{3}{2}, \infty\right)$$
x in Interval.open(sqrt(6)*sqrt(-2^(2/3)*(3*sqrt(14997) + 403)^(1/3) - 38*2^(1/3)/(3*sqrt(14997) + 403)^(1/3) + 36*sqrt(6)/sqrt(38*2^(1/3)/(3*sqrt(14997) + 403)^(1/3) + 10 + 2^(2/3)*(3*sqrt(14997) + 403)^(1/3)) + 20)/12 + sqrt(6)*sqrt(38*2^(1/3)/(3*sqrt(14997) + 403)^(1/3) + 10 + 2^(2/3)*(3*sqrt(14997) + 403)^(1/3))/12 + 3/2, oo)