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La ecuación:
Ecuación 2*x^2+6*x+9=0
Ecuación tan(x)=-1
Ecuación 1-7*(4+2*x)=-9-4*x
Ecuación (x-5)/2=2*(3x/7-1/2)/3
Expresar {x} en función de y en la ecuación:
-13*x+9*y=1
9*x-4*y=2
-1*x+17*y=-12
17*x+9*y=14
Expresiones idénticas
((5x+ uno)/(dos x- tres))^ dos +((tres -2x)/(5x- uno))^2= ochenta y dos / nueve
((5x más 1) dividir por (2x menos 3)) al cuadrado más ((3 menos 2x) dividir por (5x menos 1)) al cuadrado es igual a 82 dividir por 9
((5x más uno) dividir por (dos x menos tres)) en el grado dos más ((tres menos 2x) dividir por (5x menos uno)) al cuadrado es igual a ochenta y dos dividir por nueve
((5x+1)/(2x-3))2+((3-2x)/(5x-1))2=82/9
5x+1/2x-32+3-2x/5x-12=82/9
((5x+1)/(2x-3))²+((3-2x)/(5x-1))²=82/9
((5x+1)/(2x-3)) en el grado 2+((3-2x)/(5x-1)) en el grado 2=82/9
5x+1/2x-3^2+3-2x/5x-1^2=82/9
((5x+1) dividir por (2x-3))^2+((3-2x) dividir por (5x-1))^2=82 dividir por 9
Expresiones semejantes
((5x+1)/(2x-3))^2+((3-2x)/(5x+1))^2=82/9
((5x+1)/(2x-3))^2+((3+2x)/(5x-1))^2=82/9
((5x-1)/(2x-3))^2+((3-2x)/(5x-1))^2=82/9
((5x+1)/(2x+3))^2+((3-2x)/(5x-1))^2=82/9
((5x+1)/(2x-3))^2-((3-2x)/(5x-1))^2=82/9
(5128^2-4530^2)*0,1408^2/(9*10^9)=(9*10^9/(0,1408^2))*x^2+x

((5x+1)/(2x-3))^2+((3-2x)/(5x-1))^2=82/9 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

         2            2       
/5*x + 1\    /3 - 2*x\        
|-------|  + |-------|  = 82/9
\2*x - 3/    \5*x - 1/

\left(\frac{3 - 2 x}{5 x - 1}\right)^{2} + \left(\frac{5 x + 1}{2 x - 3}\right)^{2} = \frac{82}{9}

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

x1 = 0

x_{1} = 0

                       /                          1                           \     /           /                          1                           \                                                                                                \                                                                                                
            48368084*re|------------------------------------------------------|     |48368084*im|------------------------------------------------------|                    /    /          __________\\                    /    /          __________\\|                    /    /          __________\\                    /    /          __________\\
                       |                     _________________________________|     |           |                     _________________________________|                    |    |5714397*\/ 90473295 ||                    |    |5714397*\/ 90473295 |||                    |    |5714397*\/ 90473295 ||                    |    |5714397*\/ 90473295 ||
                       |/          ___\     /                      __________ |     |           |/          ___\     /                      __________ |                    |atan|--------------------||                    |atan|--------------------|||                    |atan|--------------------||                    |atan|--------------------||
                       ||  1   I*\/ 3 |    /  100941679438   2*I*\/ 90473295  |     |           ||  1   I*\/ 3 |    /  100941679438   2*I*\/ 90473295  |     ___________    |    \    555179236909    /|     ___________    |    \    555179236909    /||     ___________    |    \    555179236909    /|     ___________    |    \    555179236909    /|
                       ||- - - -------|*3 /   ------------ + ---------------- |     |           ||- - - -------|*3 /   ------------ + ---------------- |   \/ 133012231 *sin|--------------------------|   \/ 399036693 *cos|--------------------------||   \/ 133012231 *cos|--------------------------|   \/ 399036693 *sin|--------------------------|
     2456              \\  2      2   / \/     3205776717          6171       /     |           \\  2      2   / \/     3205776717          6171       /                    \            3             /                    \            3             /|                    \            3             /                    \            3             /
x2 = ---- + ------------------------------------------------------------------- + I*|------------------------------------------------------------------- - --------------------------------------------- - ---------------------------------------------| - --------------------------------------------- + ---------------------------------------------
     663                                  4835259                                   \                              4835259                                                      7293                                            7293                    /                        7293                                            7293

x_{2} = - \frac{\sqrt{133012231} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{48368084 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} + \frac{\sqrt{399036693} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{2456}{663} + i \left(- \frac{\sqrt{399036693} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} - \frac{\sqrt{133012231} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{48368084 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259}\right)

                       /                          1                           \     /           /                          1                           \                                                                                                \                                                                                                
            48368084*re|------------------------------------------------------|     |48368084*im|------------------------------------------------------|                    /    /          __________\\                    /    /          __________\\|                    /    /          __________\\                    /    /          __________\\
                       |                     _________________________________|     |           |                     _________________________________|                    |    |5714397*\/ 90473295 ||                    |    |5714397*\/ 90473295 |||                    |    |5714397*\/ 90473295 ||                    |    |5714397*\/ 90473295 ||
                       |/          ___\     /                      __________ |     |           |/          ___\     /                      __________ |                    |atan|--------------------||                    |atan|--------------------|||                    |atan|--------------------||                    |atan|--------------------||
                       ||  1   I*\/ 3 |    /  100941679438   2*I*\/ 90473295  |     |           ||  1   I*\/ 3 |    /  100941679438   2*I*\/ 90473295  |     ___________    |    \    555179236909    /|     ___________    |    \    555179236909    /||     ___________    |    \    555179236909    /|     ___________    |    \    555179236909    /|
                       ||- - + -------|*3 /   ------------ + ---------------- |     |           ||- - + -------|*3 /   ------------ + ---------------- |   \/ 133012231 *sin|--------------------------|   \/ 399036693 *cos|--------------------------||   \/ 133012231 *cos|--------------------------|   \/ 399036693 *sin|--------------------------|
     2456              \\  2      2   / \/     3205776717          6171       /     |           \\  2      2   / \/     3205776717          6171       /                    \            3             /                    \            3             /|                    \            3             /                    \            3             /
x3 = ---- + ------------------------------------------------------------------- + I*|------------------------------------------------------------------- - --------------------------------------------- + ---------------------------------------------| - --------------------------------------------- - ---------------------------------------------
     663                                  4835259                                   \                              4835259                                                      7293                                            7293                    /                        7293                                            7293

x_{3} = \frac{48368084 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} - \frac{\sqrt{133012231} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} - \frac{\sqrt{399036693} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{2456}{663} + i \left(\frac{48368084 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} - \frac{\sqrt{133012231} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{\sqrt{399036693} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293}\right)

                 _________________________________                                                 
                /                      __________                                                  
     2456      /  100941679438   2*I*\/ 90473295                        48368084                   
x4 = ---- + 3 /   ------------ + ----------------  + ----------------------------------------------
     663    \/     3205776717          6171                       _________________________________
                                                                 /                      __________ 
                                                                /  100941679438   2*I*\/ 90473295  
                                                     4835259*3 /   ------------ + ---------------- 
                                                             \/     3205776717          6171

x_{4} = \frac{2456}{663} + \frac{48368084}{4835259 \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}} + \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}

x4 = 2456/663 + 48368084/(4835259*(100941679438/3205776717 + 2*sqrt(90473295)*i/6171)^(1/3)) + (100941679438/3205776717 + 2*sqrt(90473295)*i/6171)^(1/3)

Suma y producto de raíces [src]

suma

                  /                          1                           \     /           /                          1                           \                                                                                                \                                                                                                                     /                          1                           \     /           /                          1                           \                                                                                                \                                                                                                                                                                                                 
       48368084*re|------------------------------------------------------|     |48368084*im|------------------------------------------------------|                    /    /          __________\\                    /    /          __________\\|                    /    /          __________\\                    /    /          __________\\          48368084*re|------------------------------------------------------|     |48368084*im|------------------------------------------------------|                    /    /          __________\\                    /    /          __________\\|                    /    /          __________\\                    /    /          __________\\                                                                                                 
                  |                     _________________________________|     |           |                     _________________________________|                    |    |5714397*\/ 90473295 ||                    |    |5714397*\/ 90473295 |||                    |    |5714397*\/ 90473295 ||                    |    |5714397*\/ 90473295 ||                     |                     _________________________________|     |           |                     _________________________________|                    |    |5714397*\/ 90473295 ||                    |    |5714397*\/ 90473295 |||                    |    |5714397*\/ 90473295 ||                    |    |5714397*\/ 90473295 ||                                                                                                 
                  |/          ___\     /                      __________ |     |           |/          ___\     /                      __________ |                    |atan|--------------------||                    |atan|--------------------|||                    |atan|--------------------||                    |atan|--------------------||                     |/          ___\     /                      __________ |     |           |/          ___\     /                      __________ |                    |atan|--------------------||                    |atan|--------------------|||                    |atan|--------------------||                    |atan|--------------------||                                                                                                 
                  ||  1   I*\/ 3 |    /  100941679438   2*I*\/ 90473295  |     |           ||  1   I*\/ 3 |    /  100941679438   2*I*\/ 90473295  |     ___________    |    \    555179236909    /|     ___________    |    \    555179236909    /||     ___________    |    \    555179236909    /|     ___________    |    \    555179236909    /|                     ||  1   I*\/ 3 |    /  100941679438   2*I*\/ 90473295  |     |           ||  1   I*\/ 3 |    /  100941679438   2*I*\/ 90473295  |     ___________    |    \    555179236909    /|     ___________    |    \    555179236909    /||     ___________    |    \    555179236909    /|     ___________    |    \    555179236909    /|               _________________________________                                                 
                  ||- - - -------|*3 /   ------------ + ---------------- |     |           ||- - - -------|*3 /   ------------ + ---------------- |   \/ 133012231 *sin|--------------------------|   \/ 399036693 *cos|--------------------------||   \/ 133012231 *cos|--------------------------|   \/ 399036693 *sin|--------------------------|                     ||- - + -------|*3 /   ------------ + ---------------- |     |           ||- - + -------|*3 /   ------------ + ---------------- |   \/ 133012231 *sin|--------------------------|   \/ 399036693 *cos|--------------------------||   \/ 133012231 *cos|--------------------------|   \/ 399036693 *sin|--------------------------|              /                      __________                                                  
2456              \\  2      2   / \/     3205776717          6171       /     |           \\  2      2   / \/     3205776717          6171       /                    \            3             /                    \            3             /|                    \            3             /                    \            3             /   2456              \\  2      2   / \/     3205776717          6171       /     |           \\  2      2   / \/     3205776717          6171       /                    \            3             /                    \            3             /|                    \            3             /                    \            3             /   2456      /  100941679438   2*I*\/ 90473295                        48368084                   
---- + ------------------------------------------------------------------- + I*|------------------------------------------------------------------- - --------------------------------------------- - ---------------------------------------------| - --------------------------------------------- + --------------------------------------------- + ---- + ------------------------------------------------------------------- + I*|------------------------------------------------------------------- - --------------------------------------------- + ---------------------------------------------| - --------------------------------------------- - --------------------------------------------- + ---- + 3 /   ------------ + ----------------  + ----------------------------------------------
663                                  4835259                                   \                              4835259                                                      7293                                            7293                    /                        7293                                            7293                       663                                  4835259                                   \                              4835259                                                      7293                                            7293                    /                        7293                                            7293                       663    \/     3205776717          6171                       _________________________________
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          /                      __________ 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         /  100941679438   2*I*\/ 90473295  
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              4835259*3 /   ------------ + ---------------- 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \/     3205776717          6171

\left(\frac{2456}{663} + \frac{48368084}{4835259 \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}} + \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}\right) + \left(\left(\frac{48368084 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} - \frac{\sqrt{133012231} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} - \frac{\sqrt{399036693} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{2456}{663} + i \left(\frac{48368084 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} - \frac{\sqrt{133012231} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{\sqrt{399036693} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293}\right)\right) + \left(- \frac{\sqrt{133012231} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{48368084 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} + \frac{\sqrt{399036693} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{2456}{663} + i \left(- \frac{\sqrt{399036693} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} - \frac{\sqrt{133012231} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{48368084 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259}\right)\right)\right)

                                                                                                            /                          1                           \              /                          1                           \     /           /                          1                           \                                                                                                \     /           /                          1                           \                                                                                                \                                                  
                                                                                                 48368084*re|------------------------------------------------------|   48368084*re|------------------------------------------------------|     |48368084*im|------------------------------------------------------|                    /    /          __________\\                    /    /          __________\\|     |48368084*im|------------------------------------------------------|                    /    /          __________\\                    /    /          __________\\|                      /    /          __________\\
                                                                                                            |                     _________________________________|              |                     _________________________________|     |           |                     _________________________________|                    |    |5714397*\/ 90473295 ||                    |    |5714397*\/ 90473295 |||     |           |                     _________________________________|                    |    |5714397*\/ 90473295 ||                    |    |5714397*\/ 90473295 |||                      |    |5714397*\/ 90473295 ||
                                                                                                            |/          ___\     /                      __________ |              |/          ___\     /                      __________ |     |           |/          ___\     /                      __________ |                    |atan|--------------------||                    |atan|--------------------|||     |           |/          ___\     /                      __________ |                    |atan|--------------------||                    |atan|--------------------|||                      |atan|--------------------||
            _________________________________                                                               ||  1   I*\/ 3 |    /  100941679438   2*I*\/ 90473295  |              ||  1   I*\/ 3 |    /  100941679438   2*I*\/ 90473295  |     |           ||  1   I*\/ 3 |    /  100941679438   2*I*\/ 90473295  |     ___________    |    \    555179236909    /|     ___________    |    \    555179236909    /||     |           ||  1   I*\/ 3 |    /  100941679438   2*I*\/ 90473295  |     ___________    |    \    555179236909    /|     ___________    |    \    555179236909    /||       ___________    |    \    555179236909    /|
           /                      __________                                                                ||- - + -------|*3 /   ------------ + ---------------- |              ||- - - -------|*3 /   ------------ + ---------------- |     |           ||- - + -------|*3 /   ------------ + ---------------- |   \/ 133012231 *sin|--------------------------|   \/ 399036693 *cos|--------------------------||     |           ||- - - -------|*3 /   ------------ + ---------------- |   \/ 133012231 *sin|--------------------------|   \/ 399036693 *cos|--------------------------||   2*\/ 133012231 *cos|--------------------------|
2456      /  100941679438   2*I*\/ 90473295                        48368084                                 \\  2      2   / \/     3205776717          6171       /              \\  2      2   / \/     3205776717          6171       /     |           \\  2      2   / \/     3205776717          6171       /                    \            3             /                    \            3             /|     |           \\  2      2   / \/     3205776717          6171       /                    \            3             /                    \            3             /|                      \            3             /
---- + 3 /   ------------ + ----------------  + ---------------------------------------------- + ------------------------------------------------------------------- + ------------------------------------------------------------------- + I*|------------------------------------------------------------------- - --------------------------------------------- + ---------------------------------------------| + I*|------------------------------------------------------------------- - --------------------------------------------- - ---------------------------------------------| - -----------------------------------------------
221    \/     3205776717          6171                       _________________________________                                 4835259                                                               4835259                                   \                              4835259                                                      7293                                            7293                    /     \                              4835259                                                      7293                                            7293                    /                         7293                     
                                                            /                      __________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   
                                                           /  100941679438   2*I*\/ 90473295                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
                                                4835259*3 /   ------------ + ----------------                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   
                                                        \/     3205776717          6171

- \frac{2 \sqrt{133012231} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{48368084 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} + \frac{48368084 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} + \frac{2456}{221} + \frac{48368084}{4835259 \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}} + i \left(\frac{48368084 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} - \frac{\sqrt{133012231} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{\sqrt{399036693} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293}\right) + i \left(- \frac{\sqrt{399036693} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} - \frac{\sqrt{133012231} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{48368084 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259}\right) + \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}

producto

  /                  /                          1                           \     /           /                          1                           \                                                                                                \                                                                                                \ /                  /                          1                           \     /           /                          1                           \                                                                                                \                                                                                                \                                                                                                 
  |       48368084*re|------------------------------------------------------|     |48368084*im|------------------------------------------------------|                    /    /          __________\\                    /    /          __________\\|                    /    /          __________\\                    /    /          __________\\| |       48368084*re|------------------------------------------------------|     |48368084*im|------------------------------------------------------|                    /    /          __________\\                    /    /          __________\\|                    /    /          __________\\                    /    /          __________\\|                                                                                                 
  |                  |                     _________________________________|     |           |                     _________________________________|                    |    |5714397*\/ 90473295 ||                    |    |5714397*\/ 90473295 |||                    |    |5714397*\/ 90473295 ||                    |    |5714397*\/ 90473295 ||| |                  |                     _________________________________|     |           |                     _________________________________|                    |    |5714397*\/ 90473295 ||                    |    |5714397*\/ 90473295 |||                    |    |5714397*\/ 90473295 ||                    |    |5714397*\/ 90473295 |||                                                                                                 
  |                  |/          ___\     /                      __________ |     |           |/          ___\     /                      __________ |                    |atan|--------------------||                    |atan|--------------------|||                    |atan|--------------------||                    |atan|--------------------||| |                  |/          ___\     /                      __________ |     |           |/          ___\     /                      __________ |                    |atan|--------------------||                    |atan|--------------------|||                    |atan|--------------------||                    |atan|--------------------|||                                                                                                 
  |                  ||  1   I*\/ 3 |    /  100941679438   2*I*\/ 90473295  |     |           ||  1   I*\/ 3 |    /  100941679438   2*I*\/ 90473295  |     ___________    |    \    555179236909    /|     ___________    |    \    555179236909    /||     ___________    |    \    555179236909    /|     ___________    |    \    555179236909    /|| |                  ||  1   I*\/ 3 |    /  100941679438   2*I*\/ 90473295  |     |           ||  1   I*\/ 3 |    /  100941679438   2*I*\/ 90473295  |     ___________    |    \    555179236909    /|     ___________    |    \    555179236909    /||     ___________    |    \    555179236909    /|     ___________    |    \    555179236909    /|| /            _________________________________                                                 \
  |                  ||- - - -------|*3 /   ------------ + ---------------- |     |           ||- - - -------|*3 /   ------------ + ---------------- |   \/ 133012231 *sin|--------------------------|   \/ 399036693 *cos|--------------------------||   \/ 133012231 *cos|--------------------------|   \/ 399036693 *sin|--------------------------|| |                  ||- - + -------|*3 /   ------------ + ---------------- |     |           ||- - + -------|*3 /   ------------ + ---------------- |   \/ 133012231 *sin|--------------------------|   \/ 399036693 *cos|--------------------------||   \/ 133012231 *cos|--------------------------|   \/ 399036693 *sin|--------------------------|| |           /                      __________                                                  |
  |2456              \\  2      2   / \/     3205776717          6171       /     |           \\  2      2   / \/     3205776717          6171       /                    \            3             /                    \            3             /|                    \            3             /                    \            3             /| |2456              \\  2      2   / \/     3205776717          6171       /     |           \\  2      2   / \/     3205776717          6171       /                    \            3             /                    \            3             /|                    \            3             /                    \            3             /| |2456      /  100941679438   2*I*\/ 90473295                        48368084                   |
0*|---- + ------------------------------------------------------------------- + I*|------------------------------------------------------------------- - --------------------------------------------- - ---------------------------------------------| - --------------------------------------------- + ---------------------------------------------|*|---- + ------------------------------------------------------------------- + I*|------------------------------------------------------------------- - --------------------------------------------- + ---------------------------------------------| - --------------------------------------------- - ---------------------------------------------|*|---- + 3 /   ------------ + ----------------  + ----------------------------------------------|
  \663                                  4835259                                   \                              4835259                                                      7293                                            7293                    /                        7293                                            7293                    / \663                                  4835259                                   \                              4835259                                                      7293                                            7293                    /                        7293                                            7293                    / |663    \/     3205776717          6171                       _________________________________|
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                |                                                            /                      __________ |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                |                                                           /  100941679438   2*I*\/ 90473295  |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                |                                                4835259*3 /   ------------ + ---------------- |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                \                                                        \/     3205776717          6171       /

0 \left(- \frac{\sqrt{133012231} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{48368084 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} + \frac{\sqrt{399036693} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{2456}{663} + i \left(- \frac{\sqrt{399036693} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} - \frac{\sqrt{133012231} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{48368084 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259}\right)\right) \left(\frac{48368084 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} - \frac{\sqrt{133012231} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} - \frac{\sqrt{399036693} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{2456}{663} + i \left(\frac{48368084 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}}\right)}}{4835259} - \frac{\sqrt{133012231} \sin{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293} + \frac{\sqrt{399036693} \cos{\left(\frac{\operatorname{atan}{\left(\frac{5714397 \sqrt{90473295}}{555179236909} \right)}}{3} \right)}}{7293}\right)\right) \left(\frac{2456}{663} + \frac{48368084}{4835259 \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}} + \sqrt[3]{\frac{100941679438}{3205776717} + \frac{2 \sqrt{90473295} i}{6171}}\right)

0

Respuesta numérica [src]

x1 = 0

x2 = 0.721438603272705 - 0.e-22*i

x3 = 0.365087682410637 + 0.e-22*i

x4 = 10.0265958862624 - 0.e-22*i

x4 = 10.0265958862624 - 0.e-22*i

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