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La ecuación:
Ecuación (3x−36)⋅(x+8)=0
Ecuación x+y-4=0
Ecuación 4-x/7=x/9
Ecuación z^4=1
Expresar {x} en función de y en la ecuación:
4*x-1*y=-3
9*x+17*y=13
-2*x-19*y=3
6*x+17*y=-11
Expresiones idénticas
dos * setenta y cinco * cero ,3x- dos 5 cero cero x*0, nueve *sqrt(uno -x^2)+ cincuenta =0
2 multiplicar por 75 multiplicar por 0,3x menos 2500x multiplicar por 0,09 multiplicar por raíz cuadrada de (1 menos x al cuadrado ) más 50 es igual a 0
dos multiplicar por setenta y cinco multiplicar por cero ,3x menos dos 5 cero cero x multiplicar por 0, nueve multiplicar por raíz cuadrada de (uno menos x al cuadrado ) más cincuenta es igual a 0
2*75*0,3x-2500x*0,09*√(1-x^2)+50=0
2*75*0,3x-2500x*0,09*sqrt(1-x2)+50=0
2*75*0,3x-2500x*0,09*sqrt1-x2+50=0
2*75*0,3x-2500x*0,09*sqrt(1-x²)+50=0
2*75*0,3x-2500x*0,09*sqrt(1-x en el grado 2)+50=0
2750,3x-2500x0,09sqrt(1-x^2)+50=0
2750,3x-2500x0,09sqrt(1-x2)+50=0
2750,3x-2500x0,09sqrt1-x2+50=0
2750,3x-2500x0,09sqrt1-x^2+50=0
2*75*0,3x-2500x*0,09*sqrt(1-x^2)+50=O
Expresiones semejantes
2*75*0,3x+2500x*0,09*sqrt(1-x^2)+50=0
2*75*0,3x-2500x*0,09*sqrt(1+x^2)+50=0
2*75*0,3x-2500x*0,09*sqrt(1-x^2)-50=0
Expresiones con funciones
Raíz cuadrada sqrt
sqrt(x+2)-sqrt(x-6)=2
sqrt(4+2x−x^2)=x−2.
sqrt((a-b*w^2)^2+(c*w)^2)=(19/10)*w
sqrt(5+2*x)=8+-sqrt(x-1)
sqrt(2x^2-5x+1)=x-1

2750,3x-2500x0,09sqrt(1-x^2)+50=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

                      ________         
3*150     2500*x*9   /      2          
-----*x - --------*\/  1 - x   + 50 = 0
  10        100

\left(\frac{3 \cdot 150}{10} x - \frac{9 \cdot 2500 x}{100} \sqrt{1 - x^{2}}\right) + 50 = 0

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

                                                                                                                  __________________________________________________________________________________________________________________________________________________________________________________
                                                                                                                 /             __________________________                                                                                                                                           
                                                                                                                /             /               __________                                                                                                                                            
                                                                                                               /   32        /    5441    I*\/ 37618023                     12776                                                                  8                                                
                                                                                                              /    -- - 2*3 /   ------- + --------------  - -------------------------------------- - ---------------------------------------------------------------------------------------------- 
               _________________________________________________________________________________             /     25     \/    1265625       820125                    __________________________                _________________________________________________________________________________ 
              /             __________________________                                                      /                                                          /               __________                /             __________________________                                           
             /             /               __________                                                      /                                                          /    5441    I*\/ 37618023                /             /               __________                                            
            /   16        /    5441    I*\/ 37618023                     12776                            /                                                 151875*3 /   ------- + --------------              /   16        /    5441    I*\/ 37618023                     12776                   
           /    -- + 2*3 /   ------- + --------------  + --------------------------------------          /                                                         \/    1265625       820125        45*      /    -- + 2*3 /   ------- + --------------  + --------------------------------------  
          /     25     \/    1265625       820125                    __________________________         /                                                                                                    /     25     \/    1265625       820125                    __________________________  
         /                                                          /               __________         /                                                                                                    /                                                          /               __________   
        /                                                          /    5441    I*\/ 37618023         /                                                                                                    /                                                          /    5441    I*\/ 37618023    
       /                                                 151875*3 /   ------- + --------------       /                                                                                                    /                                                 151875*3 /   ------- + --------------   
     \/                                                         \/    1265625       820125         \/                                                                                                   \/                                                         \/    1265625       820125       
x1 = ------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                  2                                                                                                                                                2

x_{1} = \frac{\sqrt{\frac{16}{25} + \frac{12776}{151875 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}} + 2 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}}}{2} - \frac{\sqrt{\frac{32}{25} - 2 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}} - \frac{8}{45 \sqrt{\frac{16}{25} + \frac{12776}{151875 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}} + 2 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}}} - \frac{12776}{151875 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}}}}{2}

                                                                                                                  __________________________________________________________________________________________________________________________________________________________________________________
                                                                                                                 /             __________________________                                                                                                                                           
                                                                                                                /             /               __________                                                                                                                                            
                                                                                                               /   32        /    5441    I*\/ 37618023                     12776                                                                  8                                                
                                                                                                              /    -- - 2*3 /   ------- + --------------  - -------------------------------------- - ---------------------------------------------------------------------------------------------- 
               _________________________________________________________________________________             /     25     \/    1265625       820125                    __________________________                _________________________________________________________________________________ 
              /             __________________________                                                      /                                                          /               __________                /             __________________________                                           
             /             /               __________                                                      /                                                          /    5441    I*\/ 37618023                /             /               __________                                            
            /   16        /    5441    I*\/ 37618023                     12776                            /                                                 151875*3 /   ------- + --------------              /   16        /    5441    I*\/ 37618023                     12776                   
           /    -- + 2*3 /   ------- + --------------  + --------------------------------------          /                                                         \/    1265625       820125        45*      /    -- + 2*3 /   ------- + --------------  + --------------------------------------  
          /     25     \/    1265625       820125                    __________________________         /                                                                                                    /     25     \/    1265625       820125                    __________________________  
         /                                                          /               __________         /                                                                                                    /                                                          /               __________   
        /                                                          /    5441    I*\/ 37618023         /                                                                                                    /                                                          /    5441    I*\/ 37618023    
       /                                                 151875*3 /   ------- + --------------       /                                                                                                    /                                                 151875*3 /   ------- + --------------   
     \/                                                         \/    1265625       820125         \/                                                                                                   \/                                                         \/    1265625       820125       
x2 = ------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                  2                                                                                                                                                2

x_{2} = \frac{\sqrt{\frac{32}{25} - 2 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}} - \frac{8}{45 \sqrt{\frac{16}{25} + \frac{12776}{151875 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}} + 2 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}}} - \frac{12776}{151875 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}}}}{2} + \frac{\sqrt{\frac{16}{25} + \frac{12776}{151875 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}} + 2 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}}}{2}

x2 = sqrt(32/25 - 2*(5441/1265625 + sqrt(37618023)*i/820125)^(1/3) - 8/(45*sqrt(16/25 + 12776/(151875*(5441/1265625 + sqrt(37618023)*i/820125)^(1/3)) + 2*(5441/1265625 + sqrt(37618023)*i/820125)^(1/3))) - 12776/(151875*(5441/1265625 + sqrt(37618023)*i/820125)^(1/3)))/2 + sqrt(16/25 + 12776/(151875*(5441/1265625 + sqrt(37618023)*i/820125)^(1/3)) + 2*(5441/1265625 + sqrt(37618023)*i/820125)^(1/3))/2

Suma y producto de raíces [src]

suma

                                                                                                             __________________________________________________________________________________________________________________________________________________________________________________                                                                                                                __________________________________________________________________________________________________________________________________________________________________________________
                                                                                                            /             __________________________                                                                                                                                                                                                                                                          /             __________________________                                                                                                                                           
                                                                                                           /             /               __________                                                                                                                                                                                                                                                          /             /               __________                                                                                                                                            
                                                                                                          /   32        /    5441    I*\/ 37618023                     12776                                                                  8                                                                                                                                                             /   32        /    5441    I*\/ 37618023                     12776                                                                  8                                                
                                                                                                         /    -- - 2*3 /   ------- + --------------  - -------------------------------------- - ----------------------------------------------------------------------------------------------                                                                                                             /    -- - 2*3 /   ------- + --------------  - -------------------------------------- - ---------------------------------------------------------------------------------------------- 
          _________________________________________________________________________________             /     25     \/    1265625       820125                    __________________________                _________________________________________________________________________________              _________________________________________________________________________________             /     25     \/    1265625       820125                    __________________________                _________________________________________________________________________________ 
         /             __________________________                                                      /                                                          /               __________                /             __________________________                                                       /             __________________________                                                      /                                                          /               __________                /             __________________________                                           
        /             /               __________                                                      /                                                          /    5441    I*\/ 37618023                /             /               __________                                                       /             /               __________                                                      /                                                          /    5441    I*\/ 37618023                /             /               __________                                            
       /   16        /    5441    I*\/ 37618023                     12776                            /                                                 151875*3 /   ------- + --------------              /   16        /    5441    I*\/ 37618023                     12776                             /   16        /    5441    I*\/ 37618023                     12776                            /                                                 151875*3 /   ------- + --------------              /   16        /    5441    I*\/ 37618023                     12776                   
      /    -- + 2*3 /   ------- + --------------  + --------------------------------------          /                                                         \/    1265625       820125        45*      /    -- + 2*3 /   ------- + --------------  + --------------------------------------           /    -- + 2*3 /   ------- + --------------  + --------------------------------------          /                                                         \/    1265625       820125        45*      /    -- + 2*3 /   ------- + --------------  + --------------------------------------  
     /     25     \/    1265625       820125                    __________________________         /                                                                                                    /     25     \/    1265625       820125                    __________________________          /     25     \/    1265625       820125                    __________________________         /                                                                                                    /     25     \/    1265625       820125                    __________________________  
    /                                                          /               __________         /                                                                                                    /                                                          /               __________          /                                                          /               __________         /                                                                                                    /                                                          /               __________   
   /                                                          /    5441    I*\/ 37618023         /                                                                                                    /                                                          /    5441    I*\/ 37618023          /                                                          /    5441    I*\/ 37618023         /                                                                                                    /                                                          /    5441    I*\/ 37618023    
  /                                                 151875*3 /   ------- + --------------       /                                                                                                    /                                                 151875*3 /   ------- + --------------        /                                                 151875*3 /   ------- + --------------       /                                                                                                    /                                                 151875*3 /   ------- + --------------   
\/                                                         \/    1265625       820125         \/                                                                                                   \/                                                         \/    1265625       820125          \/                                                         \/    1265625       820125         \/                                                                                                   \/                                                         \/    1265625       820125       
------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                             2                                                                                                                                                2                                                                                                                                                2                                                                                                                                                2

\left(\frac{\sqrt{\frac{32}{25} - 2 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}} - \frac{8}{45 \sqrt{\frac{16}{25} + \frac{12776}{151875 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}} + 2 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}}} - \frac{12776}{151875 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}}}}{2} + \frac{\sqrt{\frac{16}{25} + \frac{12776}{151875 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}} + 2 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}}}{2}\right) + \left(\frac{\sqrt{\frac{16}{25} + \frac{12776}{151875 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}} + 2 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}}}{2} - \frac{\sqrt{\frac{32}{25} - 2 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}} - \frac{8}{45 \sqrt{\frac{16}{25} + \frac{12776}{151875 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}} + 2 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}}} - \frac{12776}{151875 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}}}}{2}\right)

          _________________________________________________________________________________
         /             __________________________                                          
        /             /               __________                                           
       /   16        /    5441    I*\/ 37618023                     12776                  
      /    -- + 2*3 /   ------- + --------------  + -------------------------------------- 
     /     25     \/    1265625       820125                    __________________________ 
    /                                                          /               __________  
   /                                                          /    5441    I*\/ 37618023   
  /                                                 151875*3 /   ------- + --------------  
\/                                                         \/    1265625       820125

\sqrt{\frac{16}{25} + \frac{12776}{151875 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}} + 2 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}}

producto

/                                                                                                             __________________________________________________________________________________________________________________________________________________________________________________\ /                                                                                                             __________________________________________________________________________________________________________________________________________________________________________________\
|                                                                                                            /             __________________________                                                                                                                                           | |                                                                                                            /             __________________________                                                                                                                                           |
|                                                                                                           /             /               __________                                                                                                                                            | |                                                                                                           /             /               __________                                                                                                                                            |
|                                                                                                          /   32        /    5441    I*\/ 37618023                     12776                                                                  8                                                | |                                                                                                          /   32        /    5441    I*\/ 37618023                     12776                                                                  8                                                |
|                                                                                                         /    -- - 2*3 /   ------- + --------------  - -------------------------------------- - ---------------------------------------------------------------------------------------------- | |                                                                                                         /    -- - 2*3 /   ------- + --------------  - -------------------------------------- - ---------------------------------------------------------------------------------------------- |
|          _________________________________________________________________________________             /     25     \/    1265625       820125                    __________________________                _________________________________________________________________________________ | |          _________________________________________________________________________________             /     25     \/    1265625       820125                    __________________________                _________________________________________________________________________________ |
|         /             __________________________                                                      /                                                          /               __________                /             __________________________                                           | |         /             __________________________                                                      /                                                          /               __________                /             __________________________                                           |
|        /             /               __________                                                      /                                                          /    5441    I*\/ 37618023                /             /               __________                                            | |        /             /               __________                                                      /                                                          /    5441    I*\/ 37618023                /             /               __________                                            |
|       /   16        /    5441    I*\/ 37618023                     12776                            /                                                 151875*3 /   ------- + --------------              /   16        /    5441    I*\/ 37618023                     12776                   | |       /   16        /    5441    I*\/ 37618023                     12776                            /                                                 151875*3 /   ------- + --------------              /   16        /    5441    I*\/ 37618023                     12776                   |
|      /    -- + 2*3 /   ------- + --------------  + --------------------------------------          /                                                         \/    1265625       820125        45*      /    -- + 2*3 /   ------- + --------------  + --------------------------------------  | |      /    -- + 2*3 /   ------- + --------------  + --------------------------------------          /                                                         \/    1265625       820125        45*      /    -- + 2*3 /   ------- + --------------  + --------------------------------------  |
|     /     25     \/    1265625       820125                    __________________________         /                                                                                                    /     25     \/    1265625       820125                    __________________________  | |     /     25     \/    1265625       820125                    __________________________         /                                                                                                    /     25     \/    1265625       820125                    __________________________  |
|    /                                                          /               __________         /                                                                                                    /                                                          /               __________   | |    /                                                          /               __________         /                                                                                                    /                                                          /               __________   |
|   /                                                          /    5441    I*\/ 37618023         /                                                                                                    /                                                          /    5441    I*\/ 37618023    | |   /                                                          /    5441    I*\/ 37618023         /                                                                                                    /                                                          /    5441    I*\/ 37618023    |
|  /                                                 151875*3 /   ------- + --------------       /                                                                                                    /                                                 151875*3 /   ------- + --------------   | |  /                                                 151875*3 /   ------- + --------------       /                                                                                                    /                                                 151875*3 /   ------- + --------------   |
|\/                                                         \/    1265625       820125         \/                                                                                                   \/                                                         \/    1265625       820125       | |\/                                                         \/    1265625       820125         \/                                                                                                   \/                                                         \/    1265625       820125       |
|------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\                                             2                                                                                                                                                2                                                                                                / \                                             2                                                                                                                                                2                                                                                                /

\left(\frac{\sqrt{\frac{16}{25} + \frac{12776}{151875 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}} + 2 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}}}{2} - \frac{\sqrt{\frac{32}{25} - 2 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}} - \frac{8}{45 \sqrt{\frac{16}{25} + \frac{12776}{151875 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}} + 2 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}}} - \frac{12776}{151875 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}}}}{2}\right) \left(\frac{\sqrt{\frac{32}{25} - 2 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}} - \frac{8}{45 \sqrt{\frac{16}{25} + \frac{12776}{151875 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}} + 2 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}}} - \frac{12776}{151875 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}}}}{2} + \frac{\sqrt{\frac{16}{25} + \frac{12776}{151875 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}} + 2 \sqrt[3]{\frac{5441}{1265625} + \frac{\sqrt{37618023} i}{820125}}}}{2}\right)

          ______________________________                                                                                                                                    
       3 /                   __________                                                ___                                                                 2/3              
  4    \/  1322163 + 375*I*\/ 37618023                                               \/ 6                                                            6388*3                 
- -- + --------------------------------- + ------------------------------------------------------------------------------------------ + ------------------------------------
  25                  675                           _________________________________________________________________________________          _____________________________
                                                   /                _____________________________                    2/3                    3 /                  __________ 
                                                  /        3 ___ 3 /                  __________               6388*3                   675*\/  440721 + 125*I*\/ 37618023  
                                           3*    /   216 + \/ 3 *\/  440721 + 125*I*\/ 37618023   + --------------------------------                                        
                                                /                                                      _____________________________                                        
                                               /                                                    3 /                  __________                                         
                                             \/                                                     \/  440721 + 125*I*\/ 37618023

- \frac{4}{25} + \frac{6388 \cdot 3^{\frac{2}{3}}}{675 \sqrt[3]{440721 + 125 \sqrt{37618023} i}} + \frac{\sqrt{6}}{3 \sqrt{216 + \frac{6388 \cdot 3^{\frac{2}{3}}}{\sqrt[3]{440721 + 125 \sqrt{37618023} i}} + \sqrt[3]{3} \sqrt[3]{440721 + 125 \sqrt{37618023} i}}} + \frac{\sqrt[3]{1322163 + 375 \sqrt{37618023} i}}{675}

-4/25 + (1322163 + 375*i*sqrt(37618023))^(1/3)/675 + sqrt(6)/(3*sqrt(216 + 3^(1/3)*(440721 + 125*i*sqrt(37618023))^(1/3) + 6388*3^(2/3)/(440721 + 125*i*sqrt(37618023))^(1/3))) + 6388*3^(2/3)/(675*(440721 + 125*i*sqrt(37618023))^(1/3))

Respuesta numérica [src]

x1 = 0.893706343868358

x2 = 0.294023188710263

x2 = 0.294023188710263

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

2*75*0,3x-2500x*0,09*sqrt(1-x^2)+50=0 la ecuación

Solución numérica:

Solución

2750,3x-2500x0,09sqrt(1-x^2)+50=0 la ecuación