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  • La ecuación:
  • Ecuación -x/11+x=50/11 Ecuación -x/11+x=50/11
  • Ecuación 12/x=3 Ecuación 12/x=3
  • Ecuación 6-5(4x-1)=3 Ecuación 6-5(4x-1)=3
  • Ecuación 13/(x-5)=5/(x-13) Ecuación 13/(x-5)=5/(x-13)
  • Expresar {x} en función de y en la ecuación:
  • -1*x+4*y=-10
  • -11*x-19*y=14
  • 8*x+6*y=20
  • -11*x-1*y=15

  • Expresiones idénticas

  • (siete mil cuarenta y uno / doscientos)+(mil cuatrocientos cuarenta y nueve / cincuenta)*t+(mil quinientos once / quinientos)*t^ dos +(quinientos veintitrés / mil)*t^ tres =(diecinueve / veinte)/(once / diez)*((dos mil doscientos ochenta y nueve / mil)*t^ dos +(ciento once / cien)*t^ tres)
  • (7041 dividir por 200) más (1449 dividir por 50) multiplicar por t más (1511 dividir por 500) multiplicar por t al cuadrado más (523 dividir por 1000) multiplicar por t al cubo es igual a (19 dividir por 20) dividir por (11 dividir por 10) multiplicar por ((2289 dividir por 1000) multiplicar por t al cuadrado más (111 dividir por 100) multiplicar por t al cubo )
  • (siete mil cuarenta y uno dividir por doscientos) más (mil cuatrocientos cuarenta y nueve dividir por cincuenta) multiplicar por t más (mil quinientos once dividir por quinientos) multiplicar por t en el grado dos más (quinientos veintitrés dividir por mil) multiplicar por t en el grado tres es igual a (diecinueve dividir por veinte) dividir por (once dividir por diez) multiplicar por ((dos mil doscientos ochenta y nueve dividir por mil) multiplicar por t en el grado dos más (ciento once dividir por cien) multiplicar por t en el grado tres)
  • (7041/200)+(1449/50)*t+(1511/500)*t2+(523/1000)*t3=(19/20)/(11/10)*((2289/1000)*t2+(111/100)*t3)
  • 7041/200+1449/50*t+1511/500*t2+523/1000*t3=19/20/11/10*2289/1000*t2+111/100*t3
  • (7041/200)+(1449/50)*t+(1511/500)*t²+(523/1000)*t³=(19/20)/(11/10)*((2289/1000)*t²+(111/100)*t³)
  • (7041/200)+(1449/50)*t+(1511/500)*t en el grado 2+(523/1000)*t en el grado 3=(19/20)/(11/10)*((2289/1000)*t en el grado 2+(111/100)*t en el grado 3)
  • (7041/200)+(1449/50)t+(1511/500)t^2+(523/1000)t^3=(19/20)/(11/10)((2289/1000)t^2+(111/100)t^3)
  • (7041/200)+(1449/50)t+(1511/500)t2+(523/1000)t3=(19/20)/(11/10)((2289/1000)t2+(111/100)t3)
  • 7041/200+1449/50t+1511/500t2+523/1000t3=19/20/11/102289/1000t2+111/100t3
  • 7041/200+1449/50t+1511/500t^2+523/1000t^3=19/20/11/102289/1000t^2+111/100t^3
  • (7041 dividir por 200)+(1449 dividir por 50)*t+(1511 dividir por 500)*t^2+(523 dividir por 1000)*t^3=(19 dividir por 20) dividir por (11 dividir por 10)*((2289 dividir por 1000)*t^2+(111 dividir por 100)*t^3)

  • Expresiones semejantes

  • (7041/200)+(1449/50)*t+(1511/500)*t^2+(523/1000)*t^3=(19/20)/(11/10)*((2289/1000)*t^2-(111/100)*t^3)
  • (7041/200)+(1449/50)*t+(1511/500)*t^2-(523/1000)*t^3=(19/20)/(11/10)*((2289/1000)*t^2+(111/100)*t^3)
  • (7041/200)-(1449/50)*t+(1511/500)*t^2+(523/1000)*t^3=(19/20)/(11/10)*((2289/1000)*t^2+(111/100)*t^3)
  • (7041/200)+(1449/50)*t-(1511/500)*t^2+(523/1000)*t^3=(19/20)/(11/10)*((2289/1000)*t^2+(111/100)*t^3)

(7041/200)+(1449/50)*t+(1511/500)*t^2+(523/1000)*t^3=(19/20)/(11/10)*((2289/1000)*t^2+(111/100)*t^3) 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] 
                      2        3         /      2        3\
7041   1449*t   1511*t    523*t      19  |2289*t    111*t |
---- + ------ + ------- + ------ = -----*|------- + ------|
200      50       500      1000       11 \  1000     100  /
                                   20*--                   
                                      10
523t31000+(1511t2500+(1449t50+7041200))=191110⋅20(111t3100+2289t21000)\frac{523 t^{3}}{1000} + \left(\frac{1511 t^{2}}{500} + \left(\frac{1449 t}{50} + \frac{7041}{200}\right)\right) = \frac{19}{\frac{11}{10} \cdot 20} \left(\frac{111 t^{3}}{100} + \frac{2289 t^{2}}{1000}\right)
Simplificar
Teorema de Cardano-Vieta
reescribamos la ecuación
523t31000+(1511t2500+(1449t50+7041200))=191110⋅20(111t3100+2289t21000)\frac{523 t^{3}}{1000} + \left(\frac{1511 t^{2}}{500} + \left(\frac{1449 t}{50} + \frac{7041}{200}\right)\right) = \frac{19}{\frac{11}{10} \cdot 20} \left(\frac{111 t^{3}}{100} + \frac{2289 t^{2}}{1000}\right)
de
at3+bt2+ct+d=0a t^{3} + b t^{2} + c t + d = 0
como ecuación cúbica reducida
t3+bt2a+cta+da=0t^{3} + \frac{b t^{2}}{a} + \frac{c t}{a} + \frac{d}{a} = 0
t3−22993t29584−79695t1198−3872554792=0t^{3} - \frac{22993 t^{2}}{9584} - \frac{79695 t}{1198} - \frac{387255}{4792} = 0
pt2+qt+t3+v=0p t^{2} + q t + t^{3} + v = 0
donde
p=bap = \frac{b}{a}
p=−229939584p = - \frac{22993}{9584}
q=caq = \frac{c}{a}
q=−796951198q = - \frac{79695}{1198}
v=dav = \frac{d}{a}
v=−3872554792v = - \frac{387255}{4792}
Fórmulas de Cardano-Vieta
t1+t2+t3=−pt_{1} + t_{2} + t_{3} = - p
t1t2+t1t3+t2t3=qt_{1} t_{2} + t_{1} t_{3} + t_{2} t_{3} = q
t1t2t3=vt_{1} t_{2} t_{3} = v
t1+t2+t3=229939584t_{1} + t_{2} + t_{3} = \frac{22993}{9584}
t1t2+t1t3+t2t3=−796951198t_{1} t_{2} + t_{1} t_{3} + t_{2} t_{3} = - \frac{79695}{1198}
t1t2t3=−3872554792t_{1} t_{2} t_{3} = - \frac{387255}{4792}
Gráfica
05-15-10-51015-1000010000
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
                           /                                  1                                  \     /              /                                  1                                  \                                                                                                                          \                                                                                                                          
             18859803169*re|---------------------------------------------------------------------|     |18859803169*im|---------------------------------------------------------------------|                      /    /        _______________________\\                      /    /        _______________________\\|                      /    /        _______________________\\                      /    /        _______________________\\
                           |                     ________________________________________________|     |              |                     ________________________________________________|                      |    |86256*\/ 555493569244313249110 ||                      |    |86256*\/ 555493569244313249110 |||                      |    |86256*\/ 555493569244313249110 ||                      |    |86256*\/ 555493569244313249110 ||
                           |/          ___\     /                        _______________________ |     |              |/          ___\     /                        _______________________ |                      |atan|-------------------------------||                      |atan|-------------------------------|||                      |atan|-------------------------------||                      |atan|-------------------------------||
                           ||  1   I*\/ 3 |    /  1604792224641457   I*\/ 555493569244313249110  |     |              ||  1   I*\/ 3 |    /  1604792224641457   I*\/ 555493569244313249110  |     _____________    |    \        1604792224641457       /|     _____________    |    \        1604792224641457       /||     _____________    |    \        1604792224641457       /|     _____________    |    \        1604792224641457       /|
                           ||- - - -------|*3 /   ---------------- + --------------------------- |     |              ||- - - -------|*3 /   ---------------- + --------------------------- |   \/ 18859803169 *sin|-------------------------------------|   \/ 56579409507 *cos|-------------------------------------||   \/ 18859803169 *cos|-------------------------------------|   \/ 56579409507 *sin|-------------------------------------|
     22993                 \\  2      2   / \/     23768631595008             275559168          /     |              \\  2      2   / \/     23768631595008             275559168          /                      \                  3                  /                      \                  3                  /|                      \                  3                  /                      \                  3                  /
t1 = ----- + ------------------------------------------------------------------------------------- + I*|------------------------------------------------------------------------------------- - ---------------------------------------------------------- - ----------------------------------------------------------| - ---------------------------------------------------------- + ----------------------------------------------------------
     28752                                         826677504                                           \                                      826677504                                                                   57504                                                        57504                           /                             57504                                                        57504
t1=−18859803169cos⁡(atan⁡(862565554935692443132491101604792224641457)3)57504+18859803169re⁡(1(−12−3i2)160479222464145723768631595008+555493569244313249110i2755591683)826677504+2299328752+56579409507sin⁡(atan⁡(862565554935692443132491101604792224641457)3)57504+i(−56579409507cos⁡(atan⁡(862565554935692443132491101604792224641457)3)57504−18859803169sin⁡(atan⁡(862565554935692443132491101604792224641457)3)57504+18859803169im⁡(1(−12−3i2)160479222464145723768631595008+555493569244313249110i2755591683)826677504)t_{1} = - \frac{\sqrt{18859803169} \cos{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} + \frac{18859803169 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}}\right)}}{826677504} + \frac{22993}{28752} + \frac{\sqrt{56579409507} \sin{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} + i \left(- \frac{\sqrt{56579409507} \cos{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} - \frac{\sqrt{18859803169} \sin{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} + \frac{18859803169 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}}\right)}}{826677504}\right) 
                           /                                  1                                  \     /              /                                  1                                  \                                                                                                                          \                                                                                                                          
             18859803169*re|---------------------------------------------------------------------|     |18859803169*im|---------------------------------------------------------------------|                      /    /        _______________________\\                      /    /        _______________________\\|                      /    /        _______________________\\                      /    /        _______________________\\
                           |                     ________________________________________________|     |              |                     ________________________________________________|                      |    |86256*\/ 555493569244313249110 ||                      |    |86256*\/ 555493569244313249110 |||                      |    |86256*\/ 555493569244313249110 ||                      |    |86256*\/ 555493569244313249110 ||
                           |/          ___\     /                        _______________________ |     |              |/          ___\     /                        _______________________ |                      |atan|-------------------------------||                      |atan|-------------------------------|||                      |atan|-------------------------------||                      |atan|-------------------------------||
                           ||  1   I*\/ 3 |    /  1604792224641457   I*\/ 555493569244313249110  |     |              ||  1   I*\/ 3 |    /  1604792224641457   I*\/ 555493569244313249110  |     _____________    |    \        1604792224641457       /|     _____________    |    \        1604792224641457       /||     _____________    |    \        1604792224641457       /|     _____________    |    \        1604792224641457       /|
                           ||- - + -------|*3 /   ---------------- + --------------------------- |     |              ||- - + -------|*3 /   ---------------- + --------------------------- |   \/ 18859803169 *sin|-------------------------------------|   \/ 56579409507 *cos|-------------------------------------||   \/ 18859803169 *cos|-------------------------------------|   \/ 56579409507 *sin|-------------------------------------|
     22993                 \\  2      2   / \/     23768631595008             275559168          /     |              \\  2      2   / \/     23768631595008             275559168          /                      \                  3                  /                      \                  3                  /|                      \                  3                  /                      \                  3                  /
t2 = ----- + ------------------------------------------------------------------------------------- + I*|------------------------------------------------------------------------------------- - ---------------------------------------------------------- + ----------------------------------------------------------| - ---------------------------------------------------------- - ----------------------------------------------------------
     28752                                         826677504                                           \                                      826677504                                                                   57504                                                        57504                           /                             57504                                                        57504
t2=18859803169re⁡(1(−12+3i2)160479222464145723768631595008+555493569244313249110i2755591683)826677504−18859803169cos⁡(atan⁡(862565554935692443132491101604792224641457)3)57504−56579409507sin⁡(atan⁡(862565554935692443132491101604792224641457)3)57504+2299328752+i(18859803169im⁡(1(−12+3i2)160479222464145723768631595008+555493569244313249110i2755591683)826677504−18859803169sin⁡(atan⁡(862565554935692443132491101604792224641457)3)57504+56579409507cos⁡(atan⁡(862565554935692443132491101604792224641457)3)57504)t_{2} = \frac{18859803169 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}}\right)}}{826677504} - \frac{\sqrt{18859803169} \cos{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} - \frac{\sqrt{56579409507} \sin{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} + \frac{22993}{28752} + i \left(\frac{18859803169 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}}\right)}}{826677504} - \frac{\sqrt{18859803169} \sin{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} + \frac{\sqrt{56579409507} \cos{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504}\right) 
                  ________________________________________________                                                                  
                 /                        _______________________                                                                   
     22993      /  1604792224641457   I*\/ 555493569244313249110                               18859803169                          
t3 = ----- + 3 /   ---------------- + ---------------------------  + ---------------------------------------------------------------
     28752   \/     23768631595008             275559168                            ________________________________________________
                                                                                   /                        _______________________ 
                                                                                  /  1604792224641457   I*\/ 555493569244313249110  
                                                                     826677504*3 /   ---------------- + --------------------------- 
                                                                               \/     23768631595008             275559168
t3=2299328752+18859803169826677504160479222464145723768631595008+555493569244313249110i2755591683+160479222464145723768631595008+555493569244313249110i2755591683t_{3} = \frac{22993}{28752} + \frac{18859803169}{826677504 \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}} + \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}} 
t3 = 22993/28752 + 18859803169/(826677504*(1604792224641457/23768631595008 + sqrt(555493569244313249110)*i/275559168)^(1/3)) + (1604792224641457/23768631595008 + sqrt(555493569244313249110)*i/275559168)^(1/3)
Suma y producto de raíces [src] 
suma
                      /                                  1                                  \     /              /                                  1                                  \                                                                                                                          \                                                                                                                                                   /                                  1                                  \     /              /                                  1                                  \                                                                                                                          \                                                                                                                                                                                                                                                            
        18859803169*re|---------------------------------------------------------------------|     |18859803169*im|---------------------------------------------------------------------|                      /    /        _______________________\\                      /    /        _______________________\\|                      /    /        _______________________\\                      /    /        _______________________\\           18859803169*re|---------------------------------------------------------------------|     |18859803169*im|---------------------------------------------------------------------|                      /    /        _______________________\\                      /    /        _______________________\\|                      /    /        _______________________\\                      /    /        _______________________\\                                                                                                                                  
                      |                     ________________________________________________|     |              |                     ________________________________________________|                      |    |86256*\/ 555493569244313249110 ||                      |    |86256*\/ 555493569244313249110 |||                      |    |86256*\/ 555493569244313249110 ||                      |    |86256*\/ 555493569244313249110 ||                         |                     ________________________________________________|     |              |                     ________________________________________________|                      |    |86256*\/ 555493569244313249110 ||                      |    |86256*\/ 555493569244313249110 |||                      |    |86256*\/ 555493569244313249110 ||                      |    |86256*\/ 555493569244313249110 ||                                                                                                                                  
                      |/          ___\     /                        _______________________ |     |              |/          ___\     /                        _______________________ |                      |atan|-------------------------------||                      |atan|-------------------------------|||                      |atan|-------------------------------||                      |atan|-------------------------------||                         |/          ___\     /                        _______________________ |     |              |/          ___\     /                        _______________________ |                      |atan|-------------------------------||                      |atan|-------------------------------|||                      |atan|-------------------------------||                      |atan|-------------------------------||                                                                                                                                  
                      ||  1   I*\/ 3 |    /  1604792224641457   I*\/ 555493569244313249110  |     |              ||  1   I*\/ 3 |    /  1604792224641457   I*\/ 555493569244313249110  |     _____________    |    \        1604792224641457       /|     _____________    |    \        1604792224641457       /||     _____________    |    \        1604792224641457       /|     _____________    |    \        1604792224641457       /|                         ||  1   I*\/ 3 |    /  1604792224641457   I*\/ 555493569244313249110  |     |              ||  1   I*\/ 3 |    /  1604792224641457   I*\/ 555493569244313249110  |     _____________    |    \        1604792224641457       /|     _____________    |    \        1604792224641457       /||     _____________    |    \        1604792224641457       /|     _____________    |    \        1604792224641457       /|                ________________________________________________                                                                  
                      ||- - - -------|*3 /   ---------------- + --------------------------- |     |              ||- - - -------|*3 /   ---------------- + --------------------------- |   \/ 18859803169 *sin|-------------------------------------|   \/ 56579409507 *cos|-------------------------------------||   \/ 18859803169 *cos|-------------------------------------|   \/ 56579409507 *sin|-------------------------------------|                         ||- - + -------|*3 /   ---------------- + --------------------------- |     |              ||- - + -------|*3 /   ---------------- + --------------------------- |   \/ 18859803169 *sin|-------------------------------------|   \/ 56579409507 *cos|-------------------------------------||   \/ 18859803169 *cos|-------------------------------------|   \/ 56579409507 *sin|-------------------------------------|               /                        _______________________                                                                   
22993                 \\  2      2   / \/     23768631595008             275559168          /     |              \\  2      2   / \/     23768631595008             275559168          /                      \                  3                  /                      \                  3                  /|                      \                  3                  /                      \                  3                  /   22993                 \\  2      2   / \/     23768631595008             275559168          /     |              \\  2      2   / \/     23768631595008             275559168          /                      \                  3                  /                      \                  3                  /|                      \                  3                  /                      \                  3                  /   22993      /  1604792224641457   I*\/ 555493569244313249110                               18859803169                          
----- + ------------------------------------------------------------------------------------- + I*|------------------------------------------------------------------------------------- - ---------------------------------------------------------- - ----------------------------------------------------------| - ---------------------------------------------------------- + ---------------------------------------------------------- + ----- + ------------------------------------------------------------------------------------- + I*|------------------------------------------------------------------------------------- - ---------------------------------------------------------- + ----------------------------------------------------------| - ---------------------------------------------------------- - ---------------------------------------------------------- + ----- + 3 /   ---------------- + ---------------------------  + ---------------------------------------------------------------
28752                                         826677504                                           \                                      826677504                                                                   57504                                                        57504                           /                             57504                                                        57504                              28752                                         826677504                                           \                                      826677504                                                                   57504                                                        57504                           /                             57504                                                        57504                              28752   \/     23768631595008             275559168                            ________________________________________________
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              /                        _______________________ 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             /  1604792224641457   I*\/ 555493569244313249110  
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                826677504*3 /   ---------------- + --------------------------- 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          \/     23768631595008             275559168
(2299328752+18859803169826677504160479222464145723768631595008+555493569244313249110i2755591683+160479222464145723768631595008+555493569244313249110i2755591683)+((18859803169re⁡(1(−12+3i2)160479222464145723768631595008+555493569244313249110i2755591683)826677504−18859803169cos⁡(atan⁡(862565554935692443132491101604792224641457)3)57504−56579409507sin⁡(atan⁡(862565554935692443132491101604792224641457)3)57504+2299328752+i(18859803169im⁡(1(−12+3i2)160479222464145723768631595008+555493569244313249110i2755591683)826677504−18859803169sin⁡(atan⁡(862565554935692443132491101604792224641457)3)57504+56579409507cos⁡(atan⁡(862565554935692443132491101604792224641457)3)57504))+(−18859803169cos⁡(atan⁡(862565554935692443132491101604792224641457)3)57504+18859803169re⁡(1(−12−3i2)160479222464145723768631595008+555493569244313249110i2755591683)826677504+2299328752+56579409507sin⁡(atan⁡(862565554935692443132491101604792224641457)3)57504+i(−56579409507cos⁡(atan⁡(862565554935692443132491101604792224641457)3)57504−18859803169sin⁡(atan⁡(862565554935692443132491101604792224641457)3)57504+18859803169im⁡(1(−12−3i2)160479222464145723768631595008+555493569244313249110i2755591683)826677504)))\left(\frac{22993}{28752} + \frac{18859803169}{826677504 \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}} + \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}\right) + \left(\left(\frac{18859803169 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}}\right)}}{826677504} - \frac{\sqrt{18859803169} \cos{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} - \frac{\sqrt{56579409507} \sin{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} + \frac{22993}{28752} + i \left(\frac{18859803169 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}}\right)}}{826677504} - \frac{\sqrt{18859803169} \sin{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} + \frac{\sqrt{56579409507} \cos{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504}\right)\right) + \left(- \frac{\sqrt{18859803169} \cos{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} + \frac{18859803169 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}}\right)}}{826677504} + \frac{22993}{28752} + \frac{\sqrt{56579409507} \sin{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} + i \left(- \frac{\sqrt{56579409507} \cos{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} - \frac{\sqrt{18859803169} \sin{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} + \frac{18859803169 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}}\right)}}{826677504}\right)\right)\right) 
=
                                                                                                                                                /                                  1                                  \                 /                                  1                                  \     /              /                                  1                                  \                                                                                                                          \     /              /                                  1                                  \                                                                                                                          \                                                             
                                                                                                                                  18859803169*re|---------------------------------------------------------------------|   18859803169*re|---------------------------------------------------------------------|     |18859803169*im|---------------------------------------------------------------------|                      /    /        _______________________\\                      /    /        _______________________\\|     |18859803169*im|---------------------------------------------------------------------|                      /    /        _______________________\\                      /    /        _______________________\\|                      /    /        _______________________\\
                                                                                                                                                |                     ________________________________________________|                 |                     ________________________________________________|     |              |                     ________________________________________________|                      |    |86256*\/ 555493569244313249110 ||                      |    |86256*\/ 555493569244313249110 |||     |              |                     ________________________________________________|                      |    |86256*\/ 555493569244313249110 ||                      |    |86256*\/ 555493569244313249110 |||                      |    |86256*\/ 555493569244313249110 ||
                                                                                                                                                |/          ___\     /                        _______________________ |                 |/          ___\     /                        _______________________ |     |              |/          ___\     /                        _______________________ |                      |atan|-------------------------------||                      |atan|-------------------------------|||     |              |/          ___\     /                        _______________________ |                      |atan|-------------------------------||                      |atan|-------------------------------|||                      |atan|-------------------------------||
             ________________________________________________                                                                                   ||  1   I*\/ 3 |    /  1604792224641457   I*\/ 555493569244313249110  |                 ||  1   I*\/ 3 |    /  1604792224641457   I*\/ 555493569244313249110  |     |              ||  1   I*\/ 3 |    /  1604792224641457   I*\/ 555493569244313249110  |     _____________    |    \        1604792224641457       /|     _____________    |    \        1604792224641457       /||     |              ||  1   I*\/ 3 |    /  1604792224641457   I*\/ 555493569244313249110  |     _____________    |    \        1604792224641457       /|     _____________    |    \        1604792224641457       /||     _____________    |    \        1604792224641457       /|
            /                        _______________________                                                                                    ||- - + -------|*3 /   ---------------- + --------------------------- |                 ||- - - -------|*3 /   ---------------- + --------------------------- |     |              ||- - + -------|*3 /   ---------------- + --------------------------- |   \/ 18859803169 *sin|-------------------------------------|   \/ 56579409507 *cos|-------------------------------------||     |              ||- - - -------|*3 /   ---------------- + --------------------------- |   \/ 18859803169 *sin|-------------------------------------|   \/ 56579409507 *cos|-------------------------------------||   \/ 18859803169 *cos|-------------------------------------|
22993      /  1604792224641457   I*\/ 555493569244313249110                               18859803169                                           \\  2      2   / \/     23768631595008             275559168          /                 \\  2      2   / \/     23768631595008             275559168          /     |              \\  2      2   / \/     23768631595008             275559168          /                      \                  3                  /                      \                  3                  /|     |              \\  2      2   / \/     23768631595008             275559168          /                      \                  3                  /                      \                  3                  /|                      \                  3                  /
----- + 3 /   ---------------- + ---------------------------  + --------------------------------------------------------------- + ------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------- + I*|------------------------------------------------------------------------------------- - ---------------------------------------------------------- + ----------------------------------------------------------| + I*|------------------------------------------------------------------------------------- - ---------------------------------------------------------- - ----------------------------------------------------------| - ----------------------------------------------------------
 9584   \/     23768631595008             275559168                            ________________________________________________                                         826677504                                                                               826677504                                           \                                      826677504                                                                   57504                                                        57504                           /     \                                      826677504                                                                   57504                                                        57504                           /                             28752                           
                                                                              /                        _______________________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
                                                                             /  1604792224641457   I*\/ 555493569244313249110                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           
                                                                826677504*3 /   ---------------- + ---------------------------                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
                                                                          \/     23768631595008             275559168
−18859803169cos⁡(atan⁡(862565554935692443132491101604792224641457)3)28752+18859803169re⁡(1(−12+3i2)160479222464145723768631595008+555493569244313249110i2755591683)826677504+18859803169re⁡(1(−12−3i2)160479222464145723768631595008+555493569244313249110i2755591683)826677504+229939584+18859803169826677504160479222464145723768631595008+555493569244313249110i2755591683+i(18859803169im⁡(1(−12+3i2)160479222464145723768631595008+555493569244313249110i2755591683)826677504−18859803169sin⁡(atan⁡(862565554935692443132491101604792224641457)3)57504+56579409507cos⁡(atan⁡(862565554935692443132491101604792224641457)3)57504)+i(−56579409507cos⁡(atan⁡(862565554935692443132491101604792224641457)3)57504−18859803169sin⁡(atan⁡(862565554935692443132491101604792224641457)3)57504+18859803169im⁡(1(−12−3i2)160479222464145723768631595008+555493569244313249110i2755591683)826677504)+160479222464145723768631595008+555493569244313249110i2755591683- \frac{\sqrt{18859803169} \cos{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{28752} + \frac{18859803169 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}}\right)}}{826677504} + \frac{18859803169 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}}\right)}}{826677504} + \frac{22993}{9584} + \frac{18859803169}{826677504 \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}} + i \left(\frac{18859803169 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}}\right)}}{826677504} - \frac{\sqrt{18859803169} \sin{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} + \frac{\sqrt{56579409507} \cos{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504}\right) + i \left(- \frac{\sqrt{56579409507} \cos{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} - \frac{\sqrt{18859803169} \sin{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} + \frac{18859803169 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}}\right)}}{826677504}\right) + \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}} 
producto
/                      /                                  1                                  \     /              /                                  1                                  \                                                                                                                          \                                                                                                                          \ /                      /                                  1                                  \     /              /                                  1                                  \                                                                                                                          \                                                                                                                          \                                                                                                                                  
|        18859803169*re|---------------------------------------------------------------------|     |18859803169*im|---------------------------------------------------------------------|                      /    /        _______________________\\                      /    /        _______________________\\|                      /    /        _______________________\\                      /    /        _______________________\\| |        18859803169*re|---------------------------------------------------------------------|     |18859803169*im|---------------------------------------------------------------------|                      /    /        _______________________\\                      /    /        _______________________\\|                      /    /        _______________________\\                      /    /        _______________________\\|                                                                                                                                  
|                      |                     ________________________________________________|     |              |                     ________________________________________________|                      |    |86256*\/ 555493569244313249110 ||                      |    |86256*\/ 555493569244313249110 |||                      |    |86256*\/ 555493569244313249110 ||                      |    |86256*\/ 555493569244313249110 ||| |                      |                     ________________________________________________|     |              |                     ________________________________________________|                      |    |86256*\/ 555493569244313249110 ||                      |    |86256*\/ 555493569244313249110 |||                      |    |86256*\/ 555493569244313249110 ||                      |    |86256*\/ 555493569244313249110 |||                                                                                                                                  
|                      |/          ___\     /                        _______________________ |     |              |/          ___\     /                        _______________________ |                      |atan|-------------------------------||                      |atan|-------------------------------|||                      |atan|-------------------------------||                      |atan|-------------------------------||| |                      |/          ___\     /                        _______________________ |     |              |/          ___\     /                        _______________________ |                      |atan|-------------------------------||                      |atan|-------------------------------|||                      |atan|-------------------------------||                      |atan|-------------------------------|||                                                                                                                                  
|                      ||  1   I*\/ 3 |    /  1604792224641457   I*\/ 555493569244313249110  |     |              ||  1   I*\/ 3 |    /  1604792224641457   I*\/ 555493569244313249110  |     _____________    |    \        1604792224641457       /|     _____________    |    \        1604792224641457       /||     _____________    |    \        1604792224641457       /|     _____________    |    \        1604792224641457       /|| |                      ||  1   I*\/ 3 |    /  1604792224641457   I*\/ 555493569244313249110  |     |              ||  1   I*\/ 3 |    /  1604792224641457   I*\/ 555493569244313249110  |     _____________    |    \        1604792224641457       /|     _____________    |    \        1604792224641457       /||     _____________    |    \        1604792224641457       /|     _____________    |    \        1604792224641457       /|| /             ________________________________________________                                                                  \
|                      ||- - - -------|*3 /   ---------------- + --------------------------- |     |              ||- - - -------|*3 /   ---------------- + --------------------------- |   \/ 18859803169 *sin|-------------------------------------|   \/ 56579409507 *cos|-------------------------------------||   \/ 18859803169 *cos|-------------------------------------|   \/ 56579409507 *sin|-------------------------------------|| |                      ||- - + -------|*3 /   ---------------- + --------------------------- |     |              ||- - + -------|*3 /   ---------------- + --------------------------- |   \/ 18859803169 *sin|-------------------------------------|   \/ 56579409507 *cos|-------------------------------------||   \/ 18859803169 *cos|-------------------------------------|   \/ 56579409507 *sin|-------------------------------------|| |            /                        _______________________                                                                   |
|22993                 \\  2      2   / \/     23768631595008             275559168          /     |              \\  2      2   / \/     23768631595008             275559168          /                      \                  3                  /                      \                  3                  /|                      \                  3                  /                      \                  3                  /| |22993                 \\  2      2   / \/     23768631595008             275559168          /     |              \\  2      2   / \/     23768631595008             275559168          /                      \                  3                  /                      \                  3                  /|                      \                  3                  /                      \                  3                  /| |22993      /  1604792224641457   I*\/ 555493569244313249110                               18859803169                          |
|----- + ------------------------------------------------------------------------------------- + I*|------------------------------------------------------------------------------------- - ---------------------------------------------------------- - ----------------------------------------------------------| - ---------------------------------------------------------- + ----------------------------------------------------------|*|----- + ------------------------------------------------------------------------------------- + I*|------------------------------------------------------------------------------------- - ---------------------------------------------------------- + ----------------------------------------------------------| - ---------------------------------------------------------- - ----------------------------------------------------------|*|----- + 3 /   ---------------- + ---------------------------  + ---------------------------------------------------------------|
\28752                                         826677504                                           \                                      826677504                                                                   57504                                                        57504                           /                             57504                                                        57504                           / \28752                                         826677504                                           \                                      826677504                                                                   57504                                                        57504                           /                             57504                                                        57504                           / |28752   \/     23768631595008             275559168                            ________________________________________________|
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                |                                                                              /                        _______________________ |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                |                                                                             /  1604792224641457   I*\/ 555493569244313249110  |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                |                                                                826677504*3 /   ---------------- + --------------------------- |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                \                                                                          \/     23768631595008             275559168          /
(−18859803169cos⁡(atan⁡(862565554935692443132491101604792224641457)3)57504+18859803169re⁡(1(−12−3i2)160479222464145723768631595008+555493569244313249110i2755591683)826677504+2299328752+56579409507sin⁡(atan⁡(862565554935692443132491101604792224641457)3)57504+i(−56579409507cos⁡(atan⁡(862565554935692443132491101604792224641457)3)57504−18859803169sin⁡(atan⁡(862565554935692443132491101604792224641457)3)57504+18859803169im⁡(1(−12−3i2)160479222464145723768631595008+555493569244313249110i2755591683)826677504))(18859803169re⁡(1(−12+3i2)160479222464145723768631595008+555493569244313249110i2755591683)826677504−18859803169cos⁡(atan⁡(862565554935692443132491101604792224641457)3)57504−56579409507sin⁡(atan⁡(862565554935692443132491101604792224641457)3)57504+2299328752+i(18859803169im⁡(1(−12+3i2)160479222464145723768631595008+555493569244313249110i2755591683)826677504−18859803169sin⁡(atan⁡(862565554935692443132491101604792224641457)3)57504+56579409507cos⁡(atan⁡(862565554935692443132491101604792224641457)3)57504))(2299328752+18859803169826677504160479222464145723768631595008+555493569244313249110i2755591683+160479222464145723768631595008+555493569244313249110i2755591683)\left(- \frac{\sqrt{18859803169} \cos{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} + \frac{18859803169 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}}\right)}}{826677504} + \frac{22993}{28752} + \frac{\sqrt{56579409507} \sin{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} + i \left(- \frac{\sqrt{56579409507} \cos{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} - \frac{\sqrt{18859803169} \sin{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} + \frac{18859803169 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}}\right)}}{826677504}\right)\right) \left(\frac{18859803169 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}}\right)}}{826677504} - \frac{\sqrt{18859803169} \cos{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} - \frac{\sqrt{56579409507} \sin{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} + \frac{22993}{28752} + i \left(\frac{18859803169 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}}\right)}}{826677504} - \frac{\sqrt{18859803169} \sin{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504} + \frac{\sqrt{56579409507} \cos{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}}{57504}\right)\right) \left(\frac{22993}{28752} + \frac{18859803169}{826677504 \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}} + \sqrt[3]{\frac{1604792224641457}{23768631595008} + \frac{\sqrt{555493569244313249110} i}{275559168}}\right) 
=
                                                                                                                                              /                              /      /        _______________________\\                            /    /        _______________________\\\
                                                                                                                                              |                              |      |86256*\/ 555493569244313249110 ||                            |    |86256*\/ 555493569244313249110 |||
/                 ______________________________________________________ /           ______________________________________________________\\ |                              |2*atan|-------------------------------||                            |atan|-------------------------------|||
|              3 /                              _______________________  |        3 /                              _______________________ || |                              |      \        1604792224641457       /|           _____________    |    \        1604792224641457       /||
\18859803169 + \/  1604792224641457 + 86256*I*\/ 555493569244313249110  *\22993 + \/  1604792224641457 + 86256*I*\/ 555493569244313249110  //*|-18331125120 + 37719606338*cos|---------------------------------------| - 45986*\/ 18859803169 *cos|-------------------------------------||
                                                                                                                                              \                              \                   3                   /                            \                  3                  //
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
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                                                                                                                        3 /                              _______________________                                                                                                          
                                                                                                         23768631595008*\/  1604792224641457 + 86256*I*\/ 555493569244313249110
(18859803169+(22993+1604792224641457+86256555493569244313249110i3)1604792224641457+86256555493569244313249110i3)(−18331125120−4598618859803169cos⁡(atan⁡(862565554935692443132491101604792224641457)3)+37719606338cos⁡(2atan⁡(862565554935692443132491101604792224641457)3))237686315950081604792224641457+86256555493569244313249110i3\frac{\left(18859803169 + \left(22993 + \sqrt[3]{1604792224641457 + 86256 \sqrt{555493569244313249110} i}\right) \sqrt[3]{1604792224641457 + 86256 \sqrt{555493569244313249110} i}\right) \left(-18331125120 - 45986 \sqrt{18859803169} \cos{\left(\frac{\operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)} + 37719606338 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{86256 \sqrt{555493569244313249110}}{1604792224641457} \right)}}{3} \right)}\right)}{23768631595008 \sqrt[3]{1604792224641457 + 86256 \sqrt{555493569244313249110} i}} 
(18859803169 + (1604792224641457 + 86256*i*sqrt(555493569244313249110))^(1/3)*(22993 + (1604792224641457 + 86256*i*sqrt(555493569244313249110))^(1/3)))*(-18331125120 + 37719606338*cos(2*atan(86256*sqrt(555493569244313249110)/1604792224641457)/3) - 45986*sqrt(18859803169)*cos(atan(86256*sqrt(555493569244313249110)/1604792224641457)/3))/(23768631595008*(1604792224641457 + 86256*i*sqrt(555493569244313249110))^(1/3))
Respuesta numérica [src] 
t1 = -6.21373249693427
t2 = 9.92342309592409
t3 = -1.31058792787129
t3 = -1.31058792787129
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