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  • La ecuación:
  • Ecuación 3^x=27 Ecuación 3^x=27
  • Ecuación 2x^2-x-1=x^2-5x-(-1-x^2) Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
  • Ecuación x(x^2+2x+1)=6(x+1) Ecuación x(x^2+2x+1)=6(x+1)
  • Ecuación 4x+1=-3x+15 Ecuación 4x+1=-3x+15
  • Expresar {x} en función de y en la ecuación:
  • -6*x-20*y=8
  • 7*x-1*y=0
  • 2*x-8*y=4
  • 2*x-15*y=-1

  • Expresiones idénticas

  • (trece , nueve * mil *cos dos 7* uno ,3x)/2,2 nueve x^ cuatro +(trece ,9* mil *sin27* cero ,8x)/ cero ,8 cuatro x^4= doce * diez ^ seis
  • (13,9 multiplicar por 1000 multiplicar por coseno de 27 multiplicar por 1,3x) dividir por 2,29x en el grado 4 más (13,9 multiplicar por 1000 multiplicar por seno de 27 multiplicar por 0,8x) dividir por 0,84x en el grado 4 es igual a 12 multiplicar por 10 en el grado 6
  • (trece , nueve multiplicar por mil multiplicar por coseno de dos 7 multiplicar por uno ,3x) dividir por 2,2 nueve x en el grado cuatro más (trece ,9 multiplicar por mil multiplicar por seno de 27 multiplicar por cero ,8x) dividir por cero ,8 cuatro x en el grado 4 es igual a doce multiplicar por diez en el grado seis
  • (13,9*1000*cos27*1,3x)/2,29x4+(13,9*1000*sin27*0,8x)/0,84x4=12*106
  • 13,9*1000*cos27*1,3x/2,29x4+13,9*1000*sin27*0,8x/0,84x4=12*106
  • (13,9*1000*cos27*1,3x)/2,29x⁴+(13,9*1000*sin27*0,8x)/0,84x⁴=12*10⁶
  • (13,91000cos271,3x)/2,29x^4+(13,91000sin270,8x)/0,84x^4=1210^6
  • (13,91000cos271,3x)/2,29x4+(13,91000sin270,8x)/0,84x4=12106
  • 13,91000cos271,3x/2,29x4+13,91000sin270,8x/0,84x4=12106
  • 13,91000cos271,3x/2,29x^4+13,91000sin270,8x/0,84x^4=1210^6
  • (13,9*1000*cos27*1,3x) dividir por 2,29x^4+(13,9*1000*sin27*0,8x) dividir por 0,84x^4=12*10^6

  • Expresiones semejantes

  • (13,9*1000*cos27*1,3x)/2,29x^4-(13,9*1000*sin27*0,8x)/0,84x^4=12*10^6

(13,9*1000*cos27*1,3x)/2,29x^4+(13,9*1000*sin27*0,8x)/0,84x^4=12*10^6 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src] 
139*1000                   139*1000                          
--------*cos(27)*13        --------*sin(27)*4                
   10                         10                             
-------------------*x      ------------------*x              
         10            4           5             4           
---------------------*x  + --------------------*x  = 12000000
        /229\                      /21\                      
        |---|                      |--|                      
        \100/                      \25/
x4x4139⋅100010sin⁡(27)52125+x4x13139⋅100010cos⁡(27)10229100=12000000x^{4} \frac{x \frac{4 \frac{139 \cdot 1000}{10} \sin{\left(27 \right)}}{5}}{\frac{21}{25}} + x^{4} \frac{x \frac{13 \frac{139 \cdot 1000}{10} \cos{\left(27 \right)}}{10}}{\frac{229}{100}} = 12000000
Simplificar
Gráfica
0-80-60-40-2020406080-100100-200000000000000200000000000000
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
                 5 _________          
               2*\/ 1803375           
x1 = ---------------------------------
     5 _______________________________
     \/ 37947*cos(27) + 63662*sin(27)
x1=21803375537947cos⁡(27)+63662sin⁡(27)5x_{1} = \frac{2 \sqrt[5]{1803375}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} 
                                                                                                         ___________
                                                                                                        /       ___ 
                                                                                        5 _________    /  5   \/ 5  
                   5 _________                          10___ 5 _______             2*I*\/ 1803375 *  /   - + ----- 
                   \/ 1803375                         5*\/ 5 *\/ 14427                              \/    8     8   
x2 = - ----------------------------------- + ----------------------------------- - ---------------------------------
         5 _______________________________     5 _______________________________   5 _______________________________
       2*\/ 37947*cos(27) + 63662*sin(27)    2*\/ 37947*cos(27) + 63662*sin(27)    \/ 37947*cos(27) + 63662*sin(27)
x2=−18033755237947cos⁡(27)+63662sin⁡(27)5+5144275510237947cos⁡(27)+63662sin⁡(27)5−218033755i58+5837947cos⁡(27)+63662sin⁡(27)5x_{2} = - \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} 
                                                                                                         ___________
                                                                                                        /       ___ 
                                                                                        5 _________    /  5   \/ 5  
                   5 _________                          10___ 5 _______             2*I*\/ 1803375 *  /   - + ----- 
                   \/ 1803375                         5*\/ 5 *\/ 14427                              \/    8     8   
x3 = - ----------------------------------- + ----------------------------------- + ---------------------------------
         5 _______________________________     5 _______________________________   5 _______________________________
       2*\/ 37947*cos(27) + 63662*sin(27)    2*\/ 37947*cos(27) + 63662*sin(27)    \/ 37947*cos(27) + 63662*sin(27)
x3=−18033755237947cos⁡(27)+63662sin⁡(27)5+5144275510237947cos⁡(27)+63662sin⁡(27)5+218033755i58+5837947cos⁡(27)+63662sin⁡(27)5x_{3} = - \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} 
                                                                                                         ___________
                                                                                                        /       ___ 
                                                                                        5 _________    /  5   \/ 5  
                   5 _________                          10___ 5 _______             2*I*\/ 1803375 *  /   - - ----- 
                   \/ 1803375                         5*\/ 5 *\/ 14427                              \/    8     8   
x4 = - ----------------------------------- - ----------------------------------- - ---------------------------------
         5 _______________________________     5 _______________________________   5 _______________________________
       2*\/ 37947*cos(27) + 63662*sin(27)    2*\/ 37947*cos(27) + 63662*sin(27)    \/ 37947*cos(27) + 63662*sin(27)
x4=−5144275510237947cos⁡(27)+63662sin⁡(27)5−18033755237947cos⁡(27)+63662sin⁡(27)5−218033755i58−5837947cos⁡(27)+63662sin⁡(27)5x_{4} = - \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} 
                                                                                                         ___________
                                                                                                        /       ___ 
                                                                                        5 _________    /  5   \/ 5  
                   5 _________                          10___ 5 _______             2*I*\/ 1803375 *  /   - - ----- 
                   \/ 1803375                         5*\/ 5 *\/ 14427                              \/    8     8   
x5 = - ----------------------------------- - ----------------------------------- + ---------------------------------
         5 _______________________________     5 _______________________________   5 _______________________________
       2*\/ 37947*cos(27) + 63662*sin(27)    2*\/ 37947*cos(27) + 63662*sin(27)    \/ 37947*cos(27) + 63662*sin(27)
x5=−5144275510237947cos⁡(27)+63662sin⁡(27)5−18033755237947cos⁡(27)+63662sin⁡(27)5+218033755i58−5837947cos⁡(27)+63662sin⁡(27)5x_{5} = - \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} 
x5 = -5*14427^(1/5)*5^(1/10)/(2*(37947*cos(27) + 63662*sin(27))^(1/5)) - 1803375^(1/5)/(2*(37947*cos(27) + 63662*sin(27))^(1/5)) + 2*1803375^(1/5)*i*sqrt(5/8 - sqrt(5)/8)/(37947*cos(27) + 63662*sin(27))^(1/5)
Suma y producto de raíces [src] 
suma
                                                                                                                                        ___________                                                                                                       ___________                                                                                                       ___________                                                                                                       ___________
                                                                                                                                       /       ___                                                                                                       /       ___                                                                                                       /       ___                                                                                                       /       ___ 
                                                                                                                       5 _________    /  5   \/ 5                                                                                        5 _________    /  5   \/ 5                                                                                        5 _________    /  5   \/ 5                                                                                        5 _________    /  5   \/ 5  
            5 _________                           5 _________                          10___ 5 _______             2*I*\/ 1803375 *  /   - + -----                  5 _________                          10___ 5 _______             2*I*\/ 1803375 *  /   - + -----                  5 _________                          10___ 5 _______             2*I*\/ 1803375 *  /   - - -----                  5 _________                          10___ 5 _______             2*I*\/ 1803375 *  /   - - ----- 
          2*\/ 1803375                            \/ 1803375                         5*\/ 5 *\/ 14427                              \/    8     8                    \/ 1803375                         5*\/ 5 *\/ 14427                              \/    8     8                    \/ 1803375                         5*\/ 5 *\/ 14427                              \/    8     8                    \/ 1803375                         5*\/ 5 *\/ 14427                              \/    8     8   
--------------------------------- + - ----------------------------------- + ----------------------------------- - --------------------------------- + - ----------------------------------- + ----------------------------------- + --------------------------------- + - ----------------------------------- - ----------------------------------- - --------------------------------- + - ----------------------------------- - ----------------------------------- + ---------------------------------
5 _______________________________       5 _______________________________     5 _______________________________   5 _______________________________       5 _______________________________     5 _______________________________   5 _______________________________       5 _______________________________     5 _______________________________   5 _______________________________       5 _______________________________     5 _______________________________   5 _______________________________
\/ 37947*cos(27) + 63662*sin(27)      2*\/ 37947*cos(27) + 63662*sin(27)    2*\/ 37947*cos(27) + 63662*sin(27)    \/ 37947*cos(27) + 63662*sin(27)      2*\/ 37947*cos(27) + 63662*sin(27)    2*\/ 37947*cos(27) + 63662*sin(27)    \/ 37947*cos(27) + 63662*sin(27)      2*\/ 37947*cos(27) + 63662*sin(27)    2*\/ 37947*cos(27) + 63662*sin(27)    \/ 37947*cos(27) + 63662*sin(27)      2*\/ 37947*cos(27) + 63662*sin(27)    2*\/ 37947*cos(27) + 63662*sin(27)    \/ 37947*cos(27) + 63662*sin(27)
((−5144275510237947cos⁡(27)+63662sin⁡(27)5−18033755237947cos⁡(27)+63662sin⁡(27)5−218033755i58−5837947cos⁡(27)+63662sin⁡(27)5)+((21803375537947cos⁡(27)+63662sin⁡(27)5+(−18033755237947cos⁡(27)+63662sin⁡(27)5+5144275510237947cos⁡(27)+63662sin⁡(27)5−218033755i58+5837947cos⁡(27)+63662sin⁡(27)5))+(−18033755237947cos⁡(27)+63662sin⁡(27)5+5144275510237947cos⁡(27)+63662sin⁡(27)5+218033755i58+5837947cos⁡(27)+63662sin⁡(27)5)))+(−5144275510237947cos⁡(27)+63662sin⁡(27)5−18033755237947cos⁡(27)+63662sin⁡(27)5+218033755i58−5837947cos⁡(27)+63662sin⁡(27)5)\left(\left(- \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}\right) + \left(\left(\frac{2 \sqrt[5]{1803375}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \left(- \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}\right)\right) + \left(- \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}\right)\right)\right) + \left(- \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}\right) 
=
0
00 
producto
                                  /                                                                                                    ___________\ /                                                                                                    ___________\ /                                                                                                    ___________\ /                                                                                                    ___________\
                                  |                                                                                                   /       ___ | |                                                                                                   /       ___ | |                                                                                                   /       ___ | |                                                                                                   /       ___ |
                                  |                                                                                   5 _________    /  5   \/ 5  | |                                                                                   5 _________    /  5   \/ 5  | |                                                                                   5 _________    /  5   \/ 5  | |                                                                                   5 _________    /  5   \/ 5  |
            5 _________           |              5 _________                          10___ 5 _______             2*I*\/ 1803375 *  /   - + ----- | |              5 _________                          10___ 5 _______             2*I*\/ 1803375 *  /   - + ----- | |              5 _________                          10___ 5 _______             2*I*\/ 1803375 *  /   - - ----- | |              5 _________                          10___ 5 _______             2*I*\/ 1803375 *  /   - - ----- |
          2*\/ 1803375            |              \/ 1803375                         5*\/ 5 *\/ 14427                              \/    8     8   | |              \/ 1803375                         5*\/ 5 *\/ 14427                              \/    8     8   | |              \/ 1803375                         5*\/ 5 *\/ 14427                              \/    8     8   | |              \/ 1803375                         5*\/ 5 *\/ 14427                              \/    8     8   |
---------------------------------*|- ----------------------------------- + ----------------------------------- - ---------------------------------|*|- ----------------------------------- + ----------------------------------- + ---------------------------------|*|- ----------------------------------- - ----------------------------------- - ---------------------------------|*|- ----------------------------------- - ----------------------------------- + ---------------------------------|
5 _______________________________ |    5 _______________________________     5 _______________________________   5 _______________________________| |    5 _______________________________     5 _______________________________   5 _______________________________| |    5 _______________________________     5 _______________________________   5 _______________________________| |    5 _______________________________     5 _______________________________   5 _______________________________|
\/ 37947*cos(27) + 63662*sin(27)  \  2*\/ 37947*cos(27) + 63662*sin(27)    2*\/ 37947*cos(27) + 63662*sin(27)    \/ 37947*cos(27) + 63662*sin(27) / \  2*\/ 37947*cos(27) + 63662*sin(27)    2*\/ 37947*cos(27) + 63662*sin(27)    \/ 37947*cos(27) + 63662*sin(27) / \  2*\/ 37947*cos(27) + 63662*sin(27)    2*\/ 37947*cos(27) + 63662*sin(27)    \/ 37947*cos(27) + 63662*sin(27) / \  2*\/ 37947*cos(27) + 63662*sin(27)    2*\/ 37947*cos(27) + 63662*sin(27)    \/ 37947*cos(27) + 63662*sin(27) /
21803375537947cos⁡(27)+63662sin⁡(27)5(−18033755237947cos⁡(27)+63662sin⁡(27)5+5144275510237947cos⁡(27)+63662sin⁡(27)5−218033755i58+5837947cos⁡(27)+63662sin⁡(27)5)(−18033755237947cos⁡(27)+63662sin⁡(27)5+5144275510237947cos⁡(27)+63662sin⁡(27)5+218033755i58+5837947cos⁡(27)+63662sin⁡(27)5)(−5144275510237947cos⁡(27)+63662sin⁡(27)5−18033755237947cos⁡(27)+63662sin⁡(27)5−218033755i58−5837947cos⁡(27)+63662sin⁡(27)5)(−5144275510237947cos⁡(27)+63662sin⁡(27)5−18033755237947cos⁡(27)+63662sin⁡(27)5+218033755i58−5837947cos⁡(27)+63662sin⁡(27)5)\frac{2 \sqrt[5]{1803375}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} \left(- \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}\right) \left(- \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}\right) \left(- \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}\right) \left(- \frac{5 \sqrt[5]{14427} \sqrt[10]{5}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} - \frac{\sqrt[5]{1803375}}{2 \sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}} + \frac{2 \sqrt[5]{1803375} i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{\sqrt[5]{37947 \cos{\left(27 \right)} + 63662 \sin{\left(27 \right)}}}\right) 
=
            57708000           
-------------------------------
139*(273*cos(27) + 458*sin(27))
57708000139(273cos⁡(27)+458sin⁡(27))\frac{57708000}{139 \left(273 \cos{\left(27 \right)} + 458 \sin{\left(27 \right)}\right)} 
57708000/(139*(273*cos(27) + 458*sin(27)))
Respuesta numérica [src] 
x1 = 1.26702569302782 - 3.8995041166098*i
x2 = -3.31711632896623 + 2.41002608333499*i
x3 = 4.10018127187682
x4 = 1.26702569302782 + 3.8995041166098*i
x5 = -3.31711632896623 - 2.41002608333499*i
x5 = -3.31711632896623 - 2.41002608333499*i
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