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La ecuación:
Ecuación (x-3)*(x+2)=0
Ecuación (11x+14)-(5x-8)=25
Ecuación z^2-6*z+10=0
Ecuación 4/(x-4)=-5
Expresar {x} en función de y en la ecuación:
-7*x-13*y=5
15*x+1*y=19
7*x-1*y=-7
-11*x-14*y=-3
Expresiones idénticas
(sqrt(x)^ dos - dos *x)+(uno /sqrt(x- dos)*(x- tres)*(x- cuatro))= cero
( raíz cuadrada de (x) al cuadrado menos 2 multiplicar por x) más (1 dividir por raíz cuadrada de (x menos 2) multiplicar por (x menos 3) multiplicar por (x menos 4)) es igual a 0
( raíz cuadrada de (x) en el grado dos menos dos multiplicar por x) más (uno dividir por raíz cuadrada de (x menos dos) multiplicar por (x menos tres) multiplicar por (x menos cuatro)) es igual a cero
(√(x)^2-2*x)+(1/√(x-2)*(x-3)*(x-4))=0
(sqrt(x)2-2*x)+(1/sqrt(x-2)*(x-3)*(x-4))=0
sqrtx2-2*x+1/sqrtx-2*x-3*x-4=0
(sqrt(x)²-2*x)+(1/sqrt(x-2)*(x-3)*(x-4))=0
(sqrt(x) en el grado 2-2*x)+(1/sqrt(x-2)*(x-3)*(x-4))=0
(sqrt(x)^2-2x)+(1/sqrt(x-2)(x-3)(x-4))=0
(sqrt(x)2-2x)+(1/sqrt(x-2)(x-3)(x-4))=0
sqrtx2-2x+1/sqrtx-2x-3x-4=0
sqrtx^2-2x+1/sqrtx-2x-3x-4=0
(sqrt(x)^2-2*x)+(1/sqrt(x-2)*(x-3)*(x-4))=O
(sqrt(x)^2-2*x)+(1 dividir por sqrt(x-2)*(x-3)*(x-4))=0
Expresiones semejantes
(sqrt(x)^2-2*x)-(1/sqrt(x-2)*(x-3)*(x-4))=0
(sqrt(x)^2-2*x)+(1/sqrt(x-2)*(x+3)*(x-4))=0
(sqrt(x)^2+2*x)+(1/sqrt(x-2)*(x-3)*(x-4))=0
(sqrt(x)^2-2*x)+(1/sqrt(x+2)*(x-3)*(x-4))=0
(sqrt(x)^2-2*x)+(1/sqrt(x-2)*(x-3)*(x+4))=0
Expresiones con funciones
Raíz cuadrada sqrt
sqrt(x)=1
sqrt(x-2)+sqrt(y-2)=2
sqrt(x^2+9)=2*x-3
sqrt(x)=-2
sqrt(2-x)+sqrt(-x-1)=sqrt(-5*x-7)
Raíz cuadrada sqrt
sqrt(x)=1
sqrt(x-2)+sqrt(y-2)=2
sqrt(x^2+9)=2*x-3
sqrt(x)=-2
sqrt(2-x)+sqrt(-x-1)=sqrt(-5*x-7)

(sqrt(x)^2-2x)+(1/sqrt(x-2)(x-3)*(x-4))=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

     2                              
  ___            x - 3              
\/ x   - 2*x + ---------*(x - 4) = 0
                 _______            
               \/ x - 2

$$\frac{x - 3}{\sqrt{x - 2}} \left(x - 4\right) + \left(\left(\sqrt{x}\right)^{2} - 2 x\right) = 0$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

                                                                                            ___________________________________________________________________________________________________________________________
                                                                                           /             _______________                                                                                               
                                                                                          /             /          ____                                                                                                
                                                                                         /   25        /  37   3*\/ 94               23                                            219                                 
                                                                                        /    -- - 2*3 /   -- + --------  + ---------------------- + ------------------------------------------------------------------ 
                    ______________________________________________________             /     2      \/    8       2               _______________               ______________________________________________________ 
                   /             _______________                                      /                                          /          ____               /             _______________                           
                  /             /          ____                                      /                                          /  37   3*\/ 94               /             /          ____                            
                 /   25        /  37   3*\/ 94               23                     /                                      2*3 /   -- + --------             /   25        /  37   3*\/ 94               23            
                /    -- + 2*3 /   -- + --------  - ----------------------          /                                         \/    8       2        4*      /    -- + 2*3 /   -- + --------  - ----------------------  
               /     4      \/    8       2               _______________         /                                                                        /     4      \/    8       2               _______________  
              /                                          /          ____         /                                                                        /                                          /          ____   
             /                                          /  37   3*\/ 94         /                                                                        /                                          /  37   3*\/ 94    
            /                                      2*3 /   -- + --------       /                                                                        /                                      2*3 /   -- + --------   
     15   \/                                         \/    8       2         \/                                                                       \/                                         \/    8       2       
x1 = -- + ---------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------
     4                                   2                                                                                                       2

$$x_{1} = \frac{\sqrt{- \frac{23}{2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}}} + 2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}} + \frac{25}{4}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}} + \frac{23}{2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}}} + \frac{25}{2} + \frac{219}{4 \sqrt{- \frac{23}{2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}}} + 2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}} + \frac{25}{4}}}}}{2} + \frac{15}{4}$$

                                                                                            ___________________________________________________________________________________________________________________________
                                                                                           /             _______________                                                                                               
                                                                                          /             /          ____                                                                                                
                                                                                         /   25        /  37   3*\/ 94               23                                            219                                 
                                                                                        /    -- - 2*3 /   -- + --------  + ---------------------- + ------------------------------------------------------------------ 
                    ______________________________________________________             /     2      \/    8       2               _______________               ______________________________________________________ 
                   /             _______________                                      /                                          /          ____               /             _______________                           
                  /             /          ____                                      /                                          /  37   3*\/ 94               /             /          ____                            
                 /   25        /  37   3*\/ 94               23                     /                                      2*3 /   -- + --------             /   25        /  37   3*\/ 94               23            
                /    -- + 2*3 /   -- + --------  - ----------------------          /                                         \/    8       2        4*      /    -- + 2*3 /   -- + --------  - ----------------------  
               /     4      \/    8       2               _______________         /                                                                        /     4      \/    8       2               _______________  
              /                                          /          ____         /                                                                        /                                          /          ____   
             /                                          /  37   3*\/ 94         /                                                                        /                                          /  37   3*\/ 94    
            /                                      2*3 /   -- + --------       /                                                                        /                                      2*3 /   -- + --------   
     15   \/                                         \/    8       2         \/                                                                       \/                                         \/    8       2       
x2 = -- + ---------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------
     4                                   2                                                                                                       2

$$x_{2} = - \frac{\sqrt{- 2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}} + \frac{23}{2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}}} + \frac{25}{2} + \frac{219}{4 \sqrt{- \frac{23}{2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}}} + 2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}} + \frac{25}{4}}}}}{2} + \frac{\sqrt{- \frac{23}{2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}}} + 2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}} + \frac{25}{4}}}{2} + \frac{15}{4}$$

x2 = -sqrt(-2*(37/8 + 3*sqrt(94)/2)^(1/3) + 23/(2*(37/8 + 3*sqrt(94)/2)^(1/3)) + 25/2 + 219/(4*sqrt(-23/(2*(37/8 + 3*sqrt(94)/2)^(1/3)) + 2*(37/8 + 3*sqrt(94)/2)^(1/3) + 25/4)))/2 + sqrt(-23/(2*(37/8 + 3*sqrt(94)/2)^(1/3)) + 2*(37/8 + 3*sqrt(94)/2)^(1/3) + 25/4)/2 + 15/4

Suma y producto de raíces [src]

suma

                                                                                       ___________________________________________________________________________________________________________________________                                                                                          ___________________________________________________________________________________________________________________________
                                                                                      /             _______________                                                                                                                                                                                        /             _______________                                                                                               
                                                                                     /             /          ____                                                                                                                                                                                        /             /          ____                                                                                                
                                                                                    /   25        /  37   3*\/ 94               23                                            219                                                                                                                        /   25        /  37   3*\/ 94               23                                            219                                 
                                                                                   /    -- - 2*3 /   -- + --------  + ---------------------- + ------------------------------------------------------------------                                                                                       /    -- - 2*3 /   -- + --------  + ---------------------- + ------------------------------------------------------------------ 
               ______________________________________________________             /     2      \/    8       2               _______________               ______________________________________________________                   ______________________________________________________             /     2      \/    8       2               _______________               ______________________________________________________ 
              /             _______________                                      /                                          /          ____               /             _______________                                            /             _______________                                      /                                          /          ____               /             _______________                           
             /             /          ____                                      /                                          /  37   3*\/ 94               /             /          ____                                            /             /          ____                                      /                                          /  37   3*\/ 94               /             /          ____                            
            /   25        /  37   3*\/ 94               23                     /                                      2*3 /   -- + --------             /   25        /  37   3*\/ 94               23                           /   25        /  37   3*\/ 94               23                     /                                      2*3 /   -- + --------             /   25        /  37   3*\/ 94               23            
           /    -- + 2*3 /   -- + --------  - ----------------------          /                                         \/    8       2        4*      /    -- + 2*3 /   -- + --------  - ----------------------                /    -- + 2*3 /   -- + --------  - ----------------------          /                                         \/    8       2        4*      /    -- + 2*3 /   -- + --------  - ----------------------  
          /     4      \/    8       2               _______________         /                                                                        /     4      \/    8       2               _______________               /     4      \/    8       2               _______________         /                                                                        /     4      \/    8       2               _______________  
         /                                          /          ____         /                                                                        /                                          /          ____               /                                          /          ____         /                                                                        /                                          /          ____   
        /                                          /  37   3*\/ 94         /                                                                        /                                          /  37   3*\/ 94               /                                          /  37   3*\/ 94         /                                                                        /                                          /  37   3*\/ 94    
       /                                      2*3 /   -- + --------       /                                                                        /                                      2*3 /   -- + --------             /                                      2*3 /   -- + --------       /                                                                        /                                      2*3 /   -- + --------   
15   \/                                         \/    8       2         \/                                                                       \/                                         \/    8       2          15   \/                                         \/    8       2         \/                                                                       \/                                         \/    8       2       
-- + ---------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------ + -- + ---------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------
4                                   2                                                                                                       2                                                                        4                                   2                                                                                                       2

$$\left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}} + \frac{23}{2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}}} + \frac{25}{2} + \frac{219}{4 \sqrt{- \frac{23}{2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}}} + 2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}} + \frac{25}{4}}}}}{2} + \frac{\sqrt{- \frac{23}{2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}}} + 2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}} + \frac{25}{4}}}{2} + \frac{15}{4}\right) + \left(\frac{\sqrt{- \frac{23}{2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}}} + 2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}} + \frac{25}{4}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}} + \frac{23}{2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}}} + \frac{25}{2} + \frac{219}{4 \sqrt{- \frac{23}{2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}}} + 2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}} + \frac{25}{4}}}}}{2} + \frac{15}{4}\right)$$

               ______________________________________________________
              /             _______________                          
             /             /          ____                           
15          /   25        /  37   3*\/ 94               23           
-- +       /    -- + 2*3 /   -- + --------  - ---------------------- 
2         /     4      \/    8       2               _______________ 
         /                                          /          ____  
        /                                          /  37   3*\/ 94   
       /                                      2*3 /   -- + --------  
     \/                                         \/    8       2

$$\sqrt{- \frac{23}{2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}}} + 2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}} + \frac{25}{4}} + \frac{15}{2}$$

producto

/                                                                                       ___________________________________________________________________________________________________________________________\ /                                                                                       ___________________________________________________________________________________________________________________________\
|                                                                                      /             _______________                                                                                               | |                                                                                      /             _______________                                                                                               |
|                                                                                     /             /          ____                                                                                                | |                                                                                     /             /          ____                                                                                                |
|                                                                                    /   25        /  37   3*\/ 94               23                                            219                                 | |                                                                                    /   25        /  37   3*\/ 94               23                                            219                                 |
|                                                                                   /    -- - 2*3 /   -- + --------  + ---------------------- + ------------------------------------------------------------------ | |                                                                                   /    -- - 2*3 /   -- + --------  + ---------------------- + ------------------------------------------------------------------ |
|               ______________________________________________________             /     2      \/    8       2               _______________               ______________________________________________________ | |               ______________________________________________________             /     2      \/    8       2               _______________               ______________________________________________________ |
|              /             _______________                                      /                                          /          ____               /             _______________                           | |              /             _______________                                      /                                          /          ____               /             _______________                           |
|             /             /          ____                                      /                                          /  37   3*\/ 94               /             /          ____                            | |             /             /          ____                                      /                                          /  37   3*\/ 94               /             /          ____                            |
|            /   25        /  37   3*\/ 94               23                     /                                      2*3 /   -- + --------             /   25        /  37   3*\/ 94               23            | |            /   25        /  37   3*\/ 94               23                     /                                      2*3 /   -- + --------             /   25        /  37   3*\/ 94               23            |
|           /    -- + 2*3 /   -- + --------  - ----------------------          /                                         \/    8       2        4*      /    -- + 2*3 /   -- + --------  - ----------------------  | |           /    -- + 2*3 /   -- + --------  - ----------------------          /                                         \/    8       2        4*      /    -- + 2*3 /   -- + --------  - ----------------------  |
|          /     4      \/    8       2               _______________         /                                                                        /     4      \/    8       2               _______________  | |          /     4      \/    8       2               _______________         /                                                                        /     4      \/    8       2               _______________  |
|         /                                          /          ____         /                                                                        /                                          /          ____   | |         /                                          /          ____         /                                                                        /                                          /          ____   |
|        /                                          /  37   3*\/ 94         /                                                                        /                                          /  37   3*\/ 94    | |        /                                          /  37   3*\/ 94         /                                                                        /                                          /  37   3*\/ 94    |
|       /                                      2*3 /   -- + --------       /                                                                        /                                      2*3 /   -- + --------   | |       /                                      2*3 /   -- + --------       /                                                                        /                                      2*3 /   -- + --------   |
|15   \/                                         \/    8       2         \/                                                                       \/                                         \/    8       2       | |15   \/                                         \/    8       2         \/                                                                       \/                                         \/    8       2       |
|-- + ---------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------|*|-- + ---------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------|
\4                                   2                                                                                                       2                                                                     / \4                                   2                                                                                                       2                                                                     /

$$\left(\frac{\sqrt{- \frac{23}{2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}}} + 2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}} + \frac{25}{4}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}} + \frac{23}{2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}}} + \frac{25}{2} + \frac{219}{4 \sqrt{- \frac{23}{2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}}} + 2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}} + \frac{25}{4}}}}}{2} + \frac{15}{4}\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}} + \frac{23}{2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}}} + \frac{25}{2} + \frac{219}{4 \sqrt{- \frac{23}{2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}}} + 2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}} + \frac{25}{4}}}}}{2} + \frac{\sqrt{- \frac{23}{2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}}} + 2 \sqrt[3]{\frac{37}{8} + \frac{3 \sqrt{94}}{2}} + \frac{25}{4}}}{2} + \frac{15}{4}\right)$$

                                                                                                                                                                                       ________________                                                                                                                                                                                       
                                                               ____                                                                                                                 6 /           ____                                                                                                                                                 ____                                   
25             23                      37                  6*\/ 94                                               345                                                             39*\/  37 + 12*\/ 94                                                              555                                                                            90*\/ 94                                    
-- - --------------------- + --------------------- + ------------------- - -------------------------------------------------------------------------------- + ------------------------------------------------------------ + -------------------------------------------------------------------------------- + ------------------------------------------------------------------------------
2         ________________                     2/3                   2/3                             ______________________________________________________         ______________________________________________________                             ______________________________________________________                           ______________________________________________________
       3 /           ____      /          ____\      /          ____\           ________________    /                         2/3         ________________         /                         2/3         ________________         ________________    /                         2/3         ________________       ________________    /                         2/3         ________________ 
     2*\/  37 + 12*\/ 94     2*\37 + 12*\/ 94 /      \37 + 12*\/ 94 /        6 /           ____    /          /          ____\         3 /           ____         /          /          ____\         3 /           ____         /           ____    /          /          ____\         3 /           ____       /           ____    /          /          ____\         3 /           ____  
                                                                           2*\/  37 + 12*\/ 94  *\/   -92 + 4*\37 + 12*\/ 94 /    + 25*\/  37 + 12*\/ 94      2*\/   -92 + 4*\37 + 12*\/ 94 /    + 25*\/  37 + 12*\/ 94      2*\/  37 + 12*\/ 94  *\/   -92 + 4*\37 + 12*\/ 94 /    + 25*\/  37 + 12*\/ 94      \/  37 + 12*\/ 94  *\/   -92 + 4*\37 + 12*\/ 94 /    + 25*\/  37 + 12*\/ 94

$$- \frac{345}{2 \sqrt[6]{37 + 12 \sqrt{94}} \sqrt{-92 + 4 \left(37 + 12 \sqrt{94}\right)^{\frac{2}{3}} + 25 \sqrt[3]{37 + 12 \sqrt{94}}}} - \frac{23}{2 \sqrt[3]{37 + 12 \sqrt{94}}} + \frac{37}{2 \left(37 + 12 \sqrt{94}\right)^{\frac{2}{3}}} + \frac{555}{2 \sqrt{37 + 12 \sqrt{94}} \sqrt{-92 + 4 \left(37 + 12 \sqrt{94}\right)^{\frac{2}{3}} + 25 \sqrt[3]{37 + 12 \sqrt{94}}}} + \frac{6 \sqrt{94}}{\left(37 + 12 \sqrt{94}\right)^{\frac{2}{3}}} + \frac{39 \sqrt[6]{37 + 12 \sqrt{94}}}{2 \sqrt{-92 + 4 \left(37 + 12 \sqrt{94}\right)^{\frac{2}{3}} + 25 \sqrt[3]{37 + 12 \sqrt{94}}}} + \frac{90 \sqrt{94}}{\sqrt{37 + 12 \sqrt{94}} \sqrt{-92 + 4 \left(37 + 12 \sqrt{94}\right)^{\frac{2}{3}} + 25 \sqrt[3]{37 + 12 \sqrt{94}}}} + \frac{25}{2}$$

25/2 - 23/(2*(37 + 12*sqrt(94))^(1/3)) + 37/(2*(37 + 12*sqrt(94))^(2/3)) + 6*sqrt(94)/(37 + 12*sqrt(94))^(2/3) - 345/(2*(37 + 12*sqrt(94))^(1/6)*sqrt(-92 + 4*(37 + 12*sqrt(94))^(2/3) + 25*(37 + 12*sqrt(94))^(1/3))) + 39*(37 + 12*sqrt(94))^(1/6)/(2*sqrt(-92 + 4*(37 + 12*sqrt(94))^(2/3) + 25*(37 + 12*sqrt(94))^(1/3))) + 555/(2*sqrt(37 + 12*sqrt(94))*sqrt(-92 + 4*(37 + 12*sqrt(94))^(2/3) + 25*(37 + 12*sqrt(94))^(1/3))) + 90*sqrt(94)/(sqrt(37 + 12*sqrt(94))*sqrt(-92 + 4*(37 + 12*sqrt(94))^(2/3) + 25*(37 + 12*sqrt(94))^(1/3)))

Respuesta numérica [src]

x1 = 7.91660659690067

x2 = 2.2862484108244

x3 = 7.91660659690067 + 1.27393483887575e-18*i

x4 = 7.91660659690067 + 2.17453114965409e-16*i

x4 = 7.91660659690067 + 2.17453114965409e-16*i

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Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

(sqrt(x)^2-2*x)+(1/sqrt(x-2)*(x-3)*(x-4))=0 la ecuación

Solución numérica:

Solución

(sqrt(x)^2-2x)+(1/sqrt(x-2)(x-3)*(x-4))=0 la ecuación