Sr Examen

Lang:

Otras calculadoras

¿Cómo usar?
La ecuación:
Ecuación 3^x=27
Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
Ecuación x(x^2+2x+1)=6(x+1)
Ecuación 4x+1=-3x+15
Expresar {x} en función de y en la ecuación:
-6*x-20*y=8
7*x-1*y=0
2*x-8*y=4
2*x-15*y=-1
Integral de d{x}:
2x-2
Gráfico de la función y =:
2x-2
Derivada de:
2x-2
Expresiones idénticas
(treinta y tres -3x)/(x- dos)- treinta /(dos x- dos)=2x-2
(33 menos 3x) dividir por (x menos 2) menos 30 dividir por (2x menos 2) es igual a 2x menos 2
(treinta y tres menos 3x) dividir por (x menos dos) menos treinta dividir por (dos x menos dos) es igual a 2x menos 2
33-3x/x-2-30/2x-2=2x-2
(33-3x) dividir por (x-2)-30 dividir por (2x-2)=2x-2
Expresiones semejantes
(33-3x)/(x+2)-30/(2x-2)=2x-2
x^4*(x-2)+3x^2(x-2)-4*(x-2)=0
(33-3x)/(x-2)-30/(2x-2)=2x+2
(33-3x)/(x-2)+30/(2x-2)=2x-2
4^x+1+7*2^x-2=0
(|3|)*x*(|-5|)=2*x-2
(33+3x)/(x-2)-30/(2x-2)=2x-2
(33-3x)/(x-2)-30/(2x+2)=2x-2

(33-3x)/(x-2)-30/(2x-2)=2x-2 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

33 - 3*x      30            
-------- - ------- = 2*x - 2
 x - 2     2*x - 2

\frac{33 - 3 x}{x - 2} - \frac{30}{2 x - 2} = 2 x - 2

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Suma y producto de raíces [src]

suma

         /                   1                   \     /     /                   1                   \                                                               \                                                                           /                   1                   \     /     /                   1                   \                                                               \                                                                                                                          
    91*re|---------------------------------------|     |91*im|---------------------------------------|             /    /    ______\\              /    /    ______\\|             /    /    ______\\              /    /    ______\\       91*re|---------------------------------------|     |91*im|---------------------------------------|             /    /    ______\\              /    /    ______\\|             /    /    ______\\              /    /    ______\\                                                           
         |                     __________________|     |     |                     __________________|             |    |9*\/ 3695 ||              |    |9*\/ 3695 |||             |    |9*\/ 3695 ||              |    |9*\/ 3695 ||            |                     __________________|     |     |                     __________________|             |    |9*\/ 3695 ||              |    |9*\/ 3695 |||             |    |9*\/ 3695 ||              |    |9*\/ 3695 ||                                                           
         |/          ___\     /           ______ |     |     |/          ___\     /           ______ |             |atan|----------||              |atan|----------|||             |atan|----------||              |atan|----------||            |/          ___\     /           ______ |     |     |/          ___\     /           ______ |             |atan|----------||              |atan|----------|||             |atan|----------||              |atan|----------||                                                           
         ||  1   I*\/ 3 |    /  337   I*\/ 3695  |     |     ||  1   I*\/ 3 |    /  337   I*\/ 3695  |     ____    |    \   674    /|     _____    |    \   674    /||     ____    |    \   674    /|     _____    |    \   674    /|            ||  1   I*\/ 3 |    /  337   I*\/ 3695  |     |     ||  1   I*\/ 3 |    /  337   I*\/ 3695  |     ____    |    \   674    /|     _____    |    \   674    /||     ____    |    \   674    /|     _____    |    \   674    /|            __________________                             
         ||- - - -------|*3 /   --- + ---------- |     |     ||- - - -------|*3 /   --- + ---------- |   \/ 91 *sin|----------------|   \/ 273 *cos|----------------||   \/ 91 *cos|----------------|   \/ 273 *sin|----------------|            ||- - + -------|*3 /   --- + ---------- |     |     ||- - + -------|*3 /   --- + ---------- |   \/ 91 *sin|----------------|   \/ 273 *cos|----------------||   \/ 91 *cos|----------------|   \/ 273 *sin|----------------|           /           ______                              
5        \\  2      2   / \/    108       24     /     |     \\  2      2   / \/    108       24     /             \       3        /              \       3        /|             \       3        /              \       3        /   5        \\  2      2   / \/    108       24     /     |     \\  2      2   / \/    108       24     /             \       3        /              \       3        /|             \       3        /              \       3        /   5      /  337   I*\/ 3695                 91            
- + ---------------------------------------------- + I*|---------------------------------------------- - ---------------------------- - -----------------------------| - ---------------------------- + ----------------------------- + - + ---------------------------------------------- + I*|---------------------------------------------- - ---------------------------- + -----------------------------| - ---------------------------- - ----------------------------- + - + 3 /   --- + ----------  + --------------------------
6                         36                           \                      36                                      12                              12             /                12                              12                6                         36                           \                      36                                      12                              12             /                12                              12                6   \/    108       24                __________________
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     /           ______ 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    /  337   I*\/ 3695  
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              36*3 /   --- + ---------- 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 \/    108       24

\left(\frac{5}{6} + \frac{91}{36 \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}} + \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}\right) + \left(\left(\frac{91 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} - \frac{\sqrt{91} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} - \frac{\sqrt{273} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{5}{6} + i \left(\frac{91 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} - \frac{\sqrt{91} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{\sqrt{273} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12}\right)\right) + \left(- \frac{\sqrt{91} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{91 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} + \frac{\sqrt{273} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{5}{6} + i \left(- \frac{\sqrt{273} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} - \frac{\sqrt{91} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{91 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36}\right)\right)\right)

                                                                /                   1                   \        /                   1                   \     /     /                   1                   \                                                               \     /     /                   1                   \                                                               \                               
                                                           91*re|---------------------------------------|   91*re|---------------------------------------|     |91*im|---------------------------------------|             /    /    ______\\              /    /    ______\\|     |91*im|---------------------------------------|             /    /    ______\\              /    /    ______\\|             /    /    ______\\
                                                                |                     __________________|        |                     __________________|     |     |                     __________________|             |    |9*\/ 3695 ||              |    |9*\/ 3695 |||     |     |                     __________________|             |    |9*\/ 3695 ||              |    |9*\/ 3695 |||             |    |9*\/ 3695 ||
                                                                |/          ___\     /           ______ |        |/          ___\     /           ______ |     |     |/          ___\     /           ______ |             |atan|----------||              |atan|----------|||     |     |/          ___\     /           ______ |             |atan|----------||              |atan|----------|||             |atan|----------||
         __________________                                     ||  1   I*\/ 3 |    /  337   I*\/ 3695  |        ||  1   I*\/ 3 |    /  337   I*\/ 3695  |     |     ||  1   I*\/ 3 |    /  337   I*\/ 3695  |     ____    |    \   674    /|     _____    |    \   674    /||     |     ||  1   I*\/ 3 |    /  337   I*\/ 3695  |     ____    |    \   674    /|     _____    |    \   674    /||     ____    |    \   674    /|
        /           ______                                      ||- - + -------|*3 /   --- + ---------- |        ||- - - -------|*3 /   --- + ---------- |     |     ||- - + -------|*3 /   --- + ---------- |   \/ 91 *sin|----------------|   \/ 273 *cos|----------------||     |     ||- - - -------|*3 /   --- + ---------- |   \/ 91 *sin|----------------|   \/ 273 *cos|----------------||   \/ 91 *cos|----------------|
5      /  337   I*\/ 3695                 91                    \\  2      2   / \/    108       24     /        \\  2      2   / \/    108       24     /     |     \\  2      2   / \/    108       24     /             \       3        /              \       3        /|     |     \\  2      2   / \/    108       24     /             \       3        /              \       3        /|             \       3        /
- + 3 /   --- + ----------  + -------------------------- + ---------------------------------------------- + ---------------------------------------------- + I*|---------------------------------------------- - ---------------------------- + -----------------------------| + I*|---------------------------------------------- - ---------------------------- - -----------------------------| - ----------------------------
2   \/    108       24                __________________                         36                                               36                           \                      36                                      12                              12             /     \                      36                                      12                              12             /                6              
                                     /           ______                                                                                                                                                                                                                                                                                                                                                                          
                                    /  337   I*\/ 3695                                                                                                                                                                                                                                                                                                                                                                           
                              36*3 /   --- + ----------                                                                                                                                                                                                                                                                                                                                                                          
                                 \/    108       24

- \frac{\sqrt{91} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{6} + \frac{91 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} + \frac{91 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} + \frac{5}{2} + \frac{91}{36 \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}} + i \left(\frac{91 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} - \frac{\sqrt{91} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{\sqrt{273} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12}\right) + i \left(- \frac{\sqrt{273} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} - \frac{\sqrt{91} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{91 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36}\right) + \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}

producto

/         /                   1                   \     /     /                   1                   \                                                               \                                                               \ /         /                   1                   \     /     /                   1                   \                                                               \                                                               \                                                           
|    91*re|---------------------------------------|     |91*im|---------------------------------------|             /    /    ______\\              /    /    ______\\|             /    /    ______\\              /    /    ______\\| |    91*re|---------------------------------------|     |91*im|---------------------------------------|             /    /    ______\\              /    /    ______\\|             /    /    ______\\              /    /    ______\\|                                                           
|         |                     __________________|     |     |                     __________________|             |    |9*\/ 3695 ||              |    |9*\/ 3695 |||             |    |9*\/ 3695 ||              |    |9*\/ 3695 ||| |         |                     __________________|     |     |                     __________________|             |    |9*\/ 3695 ||              |    |9*\/ 3695 |||             |    |9*\/ 3695 ||              |    |9*\/ 3695 |||                                                           
|         |/          ___\     /           ______ |     |     |/          ___\     /           ______ |             |atan|----------||              |atan|----------|||             |atan|----------||              |atan|----------||| |         |/          ___\     /           ______ |     |     |/          ___\     /           ______ |             |atan|----------||              |atan|----------|||             |atan|----------||              |atan|----------|||                                                           
|         ||  1   I*\/ 3 |    /  337   I*\/ 3695  |     |     ||  1   I*\/ 3 |    /  337   I*\/ 3695  |     ____    |    \   674    /|     _____    |    \   674    /||     ____    |    \   674    /|     _____    |    \   674    /|| |         ||  1   I*\/ 3 |    /  337   I*\/ 3695  |     |     ||  1   I*\/ 3 |    /  337   I*\/ 3695  |     ____    |    \   674    /|     _____    |    \   674    /||     ____    |    \   674    /|     _____    |    \   674    /|| /         __________________                             \
|         ||- - - -------|*3 /   --- + ---------- |     |     ||- - - -------|*3 /   --- + ---------- |   \/ 91 *sin|----------------|   \/ 273 *cos|----------------||   \/ 91 *cos|----------------|   \/ 273 *sin|----------------|| |         ||- - + -------|*3 /   --- + ---------- |     |     ||- - + -------|*3 /   --- + ---------- |   \/ 91 *sin|----------------|   \/ 273 *cos|----------------||   \/ 91 *cos|----------------|   \/ 273 *sin|----------------|| |        /           ______                              |
|5        \\  2      2   / \/    108       24     /     |     \\  2      2   / \/    108       24     /             \       3        /              \       3        /|             \       3        /              \       3        /| |5        \\  2      2   / \/    108       24     /     |     \\  2      2   / \/    108       24     /             \       3        /              \       3        /|             \       3        /              \       3        /| |5      /  337   I*\/ 3695                 91            |
|- + ---------------------------------------------- + I*|---------------------------------------------- - ---------------------------- - -----------------------------| - ---------------------------- + -----------------------------|*|- + ---------------------------------------------- + I*|---------------------------------------------- - ---------------------------- + -----------------------------| - ---------------------------- - -----------------------------|*|- + 3 /   --- + ----------  + --------------------------|
\6                         36                           \                      36                                      12                              12             /                12                              12             / \6                         36                           \                      36                                      12                              12             /                12                              12             / |6   \/    108       24                __________________|
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                |                                     /           ______ |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                |                                    /  337   I*\/ 3695  |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                |                              36*3 /   --- + ---------- |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                \                                 \/    108       24     /

\left(- \frac{\sqrt{91} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{91 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} + \frac{\sqrt{273} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{5}{6} + i \left(- \frac{\sqrt{273} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} - \frac{\sqrt{91} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{91 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36}\right)\right) \left(\frac{91 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} - \frac{\sqrt{91} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} - \frac{\sqrt{273} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{5}{6} + i \left(\frac{91 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} - \frac{\sqrt{91} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{\sqrt{273} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12}\right)\right) \left(\frac{5}{6} + \frac{91}{36 \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}} + \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}\right)

                                                             /             /      /    ______\\                /    /    ______\\\
                                                             |             |      |9*\/ 3695 ||                |    |9*\/ 3695 |||
/        ____________________ /       ____________________\\ |             |2*atan|----------||                |atan|----------|||
|     3 /             ______  |    3 /             ______ || |             |      \   674    /|        ____    |    \   674    /||
\91 + \/  674 + 9*I*\/ 3695  *\5 + \/  674 + 9*I*\/ 3695  //*|-66 + 182*cos|------------------| - 10*\/ 91 *cos|----------------||
                                                             \             \        3         /                \       3        //
----------------------------------------------------------------------------------------------------------------------------------
                                                          ____________________                                                    
                                                       3 /             ______                                                     
                                                   216*\/  674 + 9*I*\/ 3695

\frac{\left(91 + \left(5 + \sqrt[3]{674 + 9 \sqrt{3695} i}\right) \sqrt[3]{674 + 9 \sqrt{3695} i}\right) \left(- 10 \sqrt{91} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)} - 66 + 182 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}\right)}{216 \sqrt[3]{674 + 9 \sqrt{3695} i}}

(91 + (674 + 9*i*sqrt(3695))^(1/3)*(5 + (674 + 9*i*sqrt(3695))^(1/3)))*(-66 + 182*cos(2*atan(9*sqrt(3695)/674)/3) - 10*sqrt(91)*cos(atan(9*sqrt(3695)/674)/3))/(216*(674 + 9*i*sqrt(3695))^(1/3))

Respuesta rápida [src]

              /                   1                   \     /     /                   1                   \                                                               \                                                               
         91*re|---------------------------------------|     |91*im|---------------------------------------|             /    /    ______\\              /    /    ______\\|             /    /    ______\\              /    /    ______\\
              |                     __________________|     |     |                     __________________|             |    |9*\/ 3695 ||              |    |9*\/ 3695 |||             |    |9*\/ 3695 ||              |    |9*\/ 3695 ||
              |/          ___\     /           ______ |     |     |/          ___\     /           ______ |             |atan|----------||              |atan|----------|||             |atan|----------||              |atan|----------||
              ||  1   I*\/ 3 |    /  337   I*\/ 3695  |     |     ||  1   I*\/ 3 |    /  337   I*\/ 3695  |     ____    |    \   674    /|     _____    |    \   674    /||     ____    |    \   674    /|     _____    |    \   674    /|
              ||- - - -------|*3 /   --- + ---------- |     |     ||- - - -------|*3 /   --- + ---------- |   \/ 91 *sin|----------------|   \/ 273 *cos|----------------||   \/ 91 *cos|----------------|   \/ 273 *sin|----------------|
     5        \\  2      2   / \/    108       24     /     |     \\  2      2   / \/    108       24     /             \       3        /              \       3        /|             \       3        /              \       3        /
x1 = - + ---------------------------------------------- + I*|---------------------------------------------- - ---------------------------- - -----------------------------| - ---------------------------- + -----------------------------
     6                         36                           \                      36                                      12                              12             /                12                              12

x_{1} = - \frac{\sqrt{91} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{91 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} + \frac{\sqrt{273} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{5}{6} + i \left(- \frac{\sqrt{273} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} - \frac{\sqrt{91} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{91 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36}\right)

              /                   1                   \     /     /                   1                   \                                                               \                                                               
         91*re|---------------------------------------|     |91*im|---------------------------------------|             /    /    ______\\              /    /    ______\\|             /    /    ______\\              /    /    ______\\
              |                     __________________|     |     |                     __________________|             |    |9*\/ 3695 ||              |    |9*\/ 3695 |||             |    |9*\/ 3695 ||              |    |9*\/ 3695 ||
              |/          ___\     /           ______ |     |     |/          ___\     /           ______ |             |atan|----------||              |atan|----------|||             |atan|----------||              |atan|----------||
              ||  1   I*\/ 3 |    /  337   I*\/ 3695  |     |     ||  1   I*\/ 3 |    /  337   I*\/ 3695  |     ____    |    \   674    /|     _____    |    \   674    /||     ____    |    \   674    /|     _____    |    \   674    /|
              ||- - + -------|*3 /   --- + ---------- |     |     ||- - + -------|*3 /   --- + ---------- |   \/ 91 *sin|----------------|   \/ 273 *cos|----------------||   \/ 91 *cos|----------------|   \/ 273 *sin|----------------|
     5        \\  2      2   / \/    108       24     /     |     \\  2      2   / \/    108       24     /             \       3        /              \       3        /|             \       3        /              \       3        /
x2 = - + ---------------------------------------------- + I*|---------------------------------------------- - ---------------------------- + -----------------------------| - ---------------------------- - -----------------------------
     6                         36                           \                      36                                      12                              12             /                12                              12

x_{2} = \frac{91 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} - \frac{\sqrt{91} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} - \frac{\sqrt{273} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{5}{6} + i \left(\frac{91 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}}\right)}}{36} - \frac{\sqrt{91} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12} + \frac{\sqrt{273} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{3695}}{674} \right)}}{3} \right)}}{12}\right)

              __________________                             
             /           ______                              
     5      /  337   I*\/ 3695                 91            
x3 = - + 3 /   --- + ----------  + --------------------------
     6   \/    108       24                __________________
                                          /           ______ 
                                         /  337   I*\/ 3695  
                                   36*3 /   --- + ---------- 
                                      \/    108       24

x_{3} = \frac{5}{6} + \frac{91}{36 \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}} + \sqrt[3]{\frac{337}{108} + \frac{\sqrt{3695} i}{24}}

x3 = 5/6 + 91/(36*(337/108 + sqrt(3695)*i/24)^(1/3)) + (337/108 + sqrt(3695)*i/24)^(1/3)

Respuesta numérica [src]

x1 = -0.0951840702626032

x2 = -1.33617426178039

x3 = 3.93135833204299

x3 = 3.93135833204299

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

(33-3x)/(x-2)-30/(2x-2)=2x-2 la ecuación

Solución numérica:

Solución