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x^2/(2-x)*(10-x)=1

x^2/(2-x)*(10-x)=1 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   2              
  x               
-----*(10 - x) = 1
2 - x             
$$\frac{x^{2}}{2 - x} \left(10 - x\right) = 1$$
Gráfica
Respuesta rápida [src]
                /                   1                    \     /      /                   1                    \                                                                \                                                                
          103*re|----------------------------------------|     |103*im|----------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\              /    /    ______\\
                |                     ___________________|     |      |                     ___________________|              |    |3*\/ 6267 ||              |    |3*\/ 6267 |||              |    |3*\/ 6267 ||              |    |3*\/ 6267 ||
                |/          ___\     /            ______ |     |      |/          ___\     /            ______ |              |atan|----------||              |atan|----------|||              |atan|----------||              |atan|----------||
                ||  1   I*\/ 3 |    /  1018   I*\/ 6267  |     |      ||  1   I*\/ 3 |    /  1018   I*\/ 6267  |     _____    |    \   1018   /|     _____    |    \   1018   /||     _____    |    \   1018   /|     _____    |    \   1018   /|
                ||- - - -------|*3 /   ---- + ---------- |     |      ||- - - -------|*3 /   ---- + ---------- |   \/ 103 *sin|----------------|   \/ 309 *cos|----------------||   \/ 103 *cos|----------------|   \/ 309 *sin|----------------|
     10         \\  2      2   / \/     27        9      /     |      \\  2      2   / \/     27        9      /              \       3        /              \       3        /|              \       3        /              \       3        /
x1 = -- + ------------------------------------------------ + I*|------------------------------------------------ - ----------------------------- - -----------------------------| - ----------------------------- + -----------------------------
     3                           9                             \                       9                                         6                               6              /                 6                               6              
$$x_{1} = - \frac{\sqrt{103} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} + \frac{103 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}}\right)}}{9} + \frac{\sqrt{309} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} + \frac{10}{3} + i \left(- \frac{\sqrt{309} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} - \frac{\sqrt{103} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} + \frac{103 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}}\right)}}{9}\right)$$
                /                   1                    \     /      /                   1                    \                                                                \                                                                
          103*re|----------------------------------------|     |103*im|----------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\              /    /    ______\\
                |                     ___________________|     |      |                     ___________________|              |    |3*\/ 6267 ||              |    |3*\/ 6267 |||              |    |3*\/ 6267 ||              |    |3*\/ 6267 ||
                |/          ___\     /            ______ |     |      |/          ___\     /            ______ |              |atan|----------||              |atan|----------|||              |atan|----------||              |atan|----------||
                ||  1   I*\/ 3 |    /  1018   I*\/ 6267  |     |      ||  1   I*\/ 3 |    /  1018   I*\/ 6267  |     _____    |    \   1018   /|     _____    |    \   1018   /||     _____    |    \   1018   /|     _____    |    \   1018   /|
                ||- - + -------|*3 /   ---- + ---------- |     |      ||- - + -------|*3 /   ---- + ---------- |   \/ 103 *sin|----------------|   \/ 309 *cos|----------------||   \/ 103 *cos|----------------|   \/ 309 *sin|----------------|
     10         \\  2      2   / \/     27        9      /     |      \\  2      2   / \/     27        9      /              \       3        /              \       3        /|              \       3        /              \       3        /
x2 = -- + ------------------------------------------------ + I*|------------------------------------------------ - ----------------------------- + -----------------------------| - ----------------------------- - -----------------------------
     3                           9                             \                       9                                         6                               6              /                 6                               6              
$$x_{2} = \frac{103 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}}\right)}}{9} - \frac{\sqrt{103} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} - \frac{\sqrt{309} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} + \frac{10}{3} + i \left(\frac{103 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}}\right)}}{9} - \frac{\sqrt{103} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} + \frac{\sqrt{309} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6}\right)$$
               ___________________                             
              /            ______                              
     10      /  1018   I*\/ 6267                103            
x3 = -- + 3 /   ---- + ----------  + --------------------------
     3    \/     27        9                ___________________
                                           /            ______ 
                                          /  1018   I*\/ 6267  
                                     9*3 /   ---- + ---------- 
                                       \/     27        9      
$$x_{3} = \frac{10}{3} + \frac{103}{9 \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}} + \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}$$
x3 = 10/3 + 103/(9*(1018/27 + sqrt(6267)*i/9)^(1/3)) + (1018/27 + sqrt(6267)*i/9)^(1/3)
Suma y producto de raíces [src]
suma
           /                   1                    \     /      /                   1                    \                                                                \                                                                              /                   1                    \     /      /                   1                    \                                                                \                                                                                                                             
     103*re|----------------------------------------|     |103*im|----------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\              /    /    ______\\        103*re|----------------------------------------|     |103*im|----------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\              /    /    ______\\                                                             
           |                     ___________________|     |      |                     ___________________|              |    |3*\/ 6267 ||              |    |3*\/ 6267 |||              |    |3*\/ 6267 ||              |    |3*\/ 6267 ||              |                     ___________________|     |      |                     ___________________|              |    |3*\/ 6267 ||              |    |3*\/ 6267 |||              |    |3*\/ 6267 ||              |    |3*\/ 6267 ||                                                             
           |/          ___\     /            ______ |     |      |/          ___\     /            ______ |              |atan|----------||              |atan|----------|||              |atan|----------||              |atan|----------||              |/          ___\     /            ______ |     |      |/          ___\     /            ______ |              |atan|----------||              |atan|----------|||              |atan|----------||              |atan|----------||                                                             
           ||  1   I*\/ 3 |    /  1018   I*\/ 6267  |     |      ||  1   I*\/ 3 |    /  1018   I*\/ 6267  |     _____    |    \   1018   /|     _____    |    \   1018   /||     _____    |    \   1018   /|     _____    |    \   1018   /|              ||  1   I*\/ 3 |    /  1018   I*\/ 6267  |     |      ||  1   I*\/ 3 |    /  1018   I*\/ 6267  |     _____    |    \   1018   /|     _____    |    \   1018   /||     _____    |    \   1018   /|     _____    |    \   1018   /|             ___________________                             
           ||- - - -------|*3 /   ---- + ---------- |     |      ||- - - -------|*3 /   ---- + ---------- |   \/ 103 *sin|----------------|   \/ 309 *cos|----------------||   \/ 103 *cos|----------------|   \/ 309 *sin|----------------|              ||- - + -------|*3 /   ---- + ---------- |     |      ||- - + -------|*3 /   ---- + ---------- |   \/ 103 *sin|----------------|   \/ 309 *cos|----------------||   \/ 103 *cos|----------------|   \/ 309 *sin|----------------|            /            ______                              
10         \\  2      2   / \/     27        9      /     |      \\  2      2   / \/     27        9      /              \       3        /              \       3        /|              \       3        /              \       3        /   10         \\  2      2   / \/     27        9      /     |      \\  2      2   / \/     27        9      /              \       3        /              \       3        /|              \       3        /              \       3        /   10      /  1018   I*\/ 6267                103            
-- + ------------------------------------------------ + I*|------------------------------------------------ - ----------------------------- - -----------------------------| - ----------------------------- + ----------------------------- + -- + ------------------------------------------------ + I*|------------------------------------------------ - ----------------------------- + -----------------------------| - ----------------------------- - ----------------------------- + -- + 3 /   ---- + ----------  + --------------------------
3                           9                             \                       9                                         6                               6              /                 6                               6                 3                           9                             \                       9                                         6                               6              /                 6                               6                 3    \/     27        9                ___________________
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    /            ______ 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   /  1018   I*\/ 6267  
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              9*3 /   ---- + ---------- 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                \/     27        9      
$$\left(\frac{10}{3} + \frac{103}{9 \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}} + \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}\right) + \left(\left(- \frac{\sqrt{103} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} + \frac{103 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}}\right)}}{9} + \frac{\sqrt{309} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} + \frac{10}{3} + i \left(- \frac{\sqrt{309} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} - \frac{\sqrt{103} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} + \frac{103 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}}\right)}}{9}\right)\right) + \left(\frac{103 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}}\right)}}{9} - \frac{\sqrt{103} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} - \frac{\sqrt{309} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} + \frac{10}{3} + i \left(\frac{103 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}}\right)}}{9} - \frac{\sqrt{103} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} + \frac{\sqrt{309} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6}\right)\right)\right)$$
=
                                                                   /                   1                    \         /                   1                    \     /      /                   1                    \                                                                \     /      /                   1                    \                                                                \                                
                                                             103*re|----------------------------------------|   103*re|----------------------------------------|     |103*im|----------------------------------------|              /    /    ______\\              /    /    ______\\|     |103*im|----------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\
                                                                   |                     ___________________|         |                     ___________________|     |      |                     ___________________|              |    |3*\/ 6267 ||              |    |3*\/ 6267 |||     |      |                     ___________________|              |    |3*\/ 6267 ||              |    |3*\/ 6267 |||              |    |3*\/ 6267 ||
                                                                   |/          ___\     /            ______ |         |/          ___\     /            ______ |     |      |/          ___\     /            ______ |              |atan|----------||              |atan|----------|||     |      |/          ___\     /            ______ |              |atan|----------||              |atan|----------|||              |atan|----------||
          ___________________                                      ||  1   I*\/ 3 |    /  1018   I*\/ 6267  |         ||  1   I*\/ 3 |    /  1018   I*\/ 6267  |     |      ||  1   I*\/ 3 |    /  1018   I*\/ 6267  |     _____    |    \   1018   /|     _____    |    \   1018   /||     |      ||  1   I*\/ 3 |    /  1018   I*\/ 6267  |     _____    |    \   1018   /|     _____    |    \   1018   /||     _____    |    \   1018   /|
         /            ______                                       ||- - + -------|*3 /   ---- + ---------- |         ||- - - -------|*3 /   ---- + ---------- |     |      ||- - + -------|*3 /   ---- + ---------- |   \/ 103 *sin|----------------|   \/ 309 *cos|----------------||     |      ||- - - -------|*3 /   ---- + ---------- |   \/ 103 *sin|----------------|   \/ 309 *cos|----------------||   \/ 103 *cos|----------------|
        /  1018   I*\/ 6267                103                     \\  2      2   / \/     27        9      /         \\  2      2   / \/     27        9      /     |      \\  2      2   / \/     27        9      /              \       3        /              \       3        /|     |      \\  2      2   / \/     27        9      /              \       3        /              \       3        /|              \       3        /
10 + 3 /   ---- + ----------  + -------------------------- + ------------------------------------------------ + ------------------------------------------------ + I*|------------------------------------------------ - ----------------------------- + -----------------------------| + I*|------------------------------------------------ - ----------------------------- - -----------------------------| - -----------------------------
     \/     27        9                ___________________                          9                                                  9                             \                       9                                         6                               6              /     \                       9                                         6                               6              /                 3              
                                      /            ______                                                                                                                                                                                                                                                                                                                                                                                     
                                     /  1018   I*\/ 6267                                                                                                                                                                                                                                                                                                                                                                                      
                                9*3 /   ---- + ----------                                                                                                                                                                                                                                                                                                                                                                                     
                                  \/     27        9                                                                                                                                                                                                                                                                                                                                                                                          
$$- \frac{\sqrt{103} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{3} + \frac{103 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}}\right)}}{9} + \frac{103 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}}\right)}}{9} + 10 + \frac{103}{9 \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}} + i \left(- \frac{\sqrt{309} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} - \frac{\sqrt{103} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} + \frac{103 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}}\right)}}{9}\right) + i \left(\frac{103 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}}\right)}}{9} - \frac{\sqrt{103} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} + \frac{\sqrt{309} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6}\right) + \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}$$
producto
/           /                   1                    \     /      /                   1                    \                                                                \                                                                \ /           /                   1                    \     /      /                   1                    \                                                                \                                                                \                                                             
|     103*re|----------------------------------------|     |103*im|----------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\              /    /    ______\\| |     103*re|----------------------------------------|     |103*im|----------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\              /    /    ______\\|                                                             
|           |                     ___________________|     |      |                     ___________________|              |    |3*\/ 6267 ||              |    |3*\/ 6267 |||              |    |3*\/ 6267 ||              |    |3*\/ 6267 ||| |           |                     ___________________|     |      |                     ___________________|              |    |3*\/ 6267 ||              |    |3*\/ 6267 |||              |    |3*\/ 6267 ||              |    |3*\/ 6267 |||                                                             
|           |/          ___\     /            ______ |     |      |/          ___\     /            ______ |              |atan|----------||              |atan|----------|||              |atan|----------||              |atan|----------||| |           |/          ___\     /            ______ |     |      |/          ___\     /            ______ |              |atan|----------||              |atan|----------|||              |atan|----------||              |atan|----------|||                                                             
|           ||  1   I*\/ 3 |    /  1018   I*\/ 6267  |     |      ||  1   I*\/ 3 |    /  1018   I*\/ 6267  |     _____    |    \   1018   /|     _____    |    \   1018   /||     _____    |    \   1018   /|     _____    |    \   1018   /|| |           ||  1   I*\/ 3 |    /  1018   I*\/ 6267  |     |      ||  1   I*\/ 3 |    /  1018   I*\/ 6267  |     _____    |    \   1018   /|     _____    |    \   1018   /||     _____    |    \   1018   /|     _____    |    \   1018   /|| /          ___________________                             \
|           ||- - - -------|*3 /   ---- + ---------- |     |      ||- - - -------|*3 /   ---- + ---------- |   \/ 103 *sin|----------------|   \/ 309 *cos|----------------||   \/ 103 *cos|----------------|   \/ 309 *sin|----------------|| |           ||- - + -------|*3 /   ---- + ---------- |     |      ||- - + -------|*3 /   ---- + ---------- |   \/ 103 *sin|----------------|   \/ 309 *cos|----------------||   \/ 103 *cos|----------------|   \/ 309 *sin|----------------|| |         /            ______                              |
|10         \\  2      2   / \/     27        9      /     |      \\  2      2   / \/     27        9      /              \       3        /              \       3        /|              \       3        /              \       3        /| |10         \\  2      2   / \/     27        9      /     |      \\  2      2   / \/     27        9      /              \       3        /              \       3        /|              \       3        /              \       3        /| |10      /  1018   I*\/ 6267                103            |
|-- + ------------------------------------------------ + I*|------------------------------------------------ - ----------------------------- - -----------------------------| - ----------------------------- + -----------------------------|*|-- + ------------------------------------------------ + I*|------------------------------------------------ - ----------------------------- + -----------------------------| - ----------------------------- - -----------------------------|*|-- + 3 /   ---- + ----------  + --------------------------|
\3                           9                             \                       9                                         6                               6              /                 6                               6              / \3                           9                             \                       9                                         6                               6              /                 6                               6              / |3    \/     27        9                ___________________|
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              |                                      /            ______ |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              |                                     /  1018   I*\/ 6267  |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              |                                9*3 /   ---- + ---------- |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \                                  \/     27        9      /
$$\left(- \frac{\sqrt{103} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} + \frac{103 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}}\right)}}{9} + \frac{\sqrt{309} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} + \frac{10}{3} + i \left(- \frac{\sqrt{309} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} - \frac{\sqrt{103} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} + \frac{103 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}}\right)}}{9}\right)\right) \left(\frac{103 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}}\right)}}{9} - \frac{\sqrt{103} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} - \frac{\sqrt{309} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} + \frac{10}{3} + i \left(\frac{103 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}}\right)}}{9} - \frac{\sqrt{103} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6} + \frac{\sqrt{309} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}}{6}\right)\right) \left(\frac{10}{3} + \frac{103}{9 \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}} + \sqrt[3]{\frac{1018}{27} + \frac{\sqrt{6267} i}{9}}\right)$$
=
                                                                 /            /      /    ______\\                 /    /    ______\\\
                                                                 |            |      |3*\/ 6267 ||                 |    |3*\/ 6267 |||
/         _____________________ /        _____________________\\ |            |2*atan|----------||                 |atan|----------|||
|      3 /              ______  |     3 /              ______ || |            |      \   1018   /|        _____    |    \   1018   /||
\103 + \/  1018 + 3*I*\/ 6267  *\10 + \/  1018 + 3*I*\/ 6267  //*|-3 + 206*cos|------------------| - 20*\/ 103 *cos|----------------||
                                                                 \            \        3         /                 \       3        //
--------------------------------------------------------------------------------------------------------------------------------------
                                                           _____________________                                                      
                                                        3 /              ______                                                       
                                                     27*\/  1018 + 3*I*\/ 6267                                                        
$$\frac{\left(103 + \left(10 + \sqrt[3]{1018 + 3 \sqrt{6267} i}\right) \sqrt[3]{1018 + 3 \sqrt{6267} i}\right) \left(- 20 \sqrt{103} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)} - 3 + 206 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{3 \sqrt{6267}}{1018} \right)}}{3} \right)}\right)}{27 \sqrt[3]{1018 + 3 \sqrt{6267} i}}$$
(103 + (1018 + 3*i*sqrt(6267))^(1/3)*(10 + (1018 + 3*i*sqrt(6267))^(1/3)))*(-3 + 206*cos(2*atan(3*sqrt(6267)/1018)/3) - 20*sqrt(103)*cos(atan(3*sqrt(6267)/1018)/3))/(27*(1018 + 3*i*sqrt(6267))^(1/3))
Respuesta numérica [src]
x1 = 0.407454391576532
x2 = -0.486979759027261
x3 = 10.0795253674507
x3 = 10.0795253674507
Gráfico
x^2/(2-x)*(10-x)=1 la ecuación