Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación (x+9)^2=36*x
-
Ecuación a+120=2000/5
-
Ecuación -x/11+x=50/11
-
Ecuación x^2+7x+6=0
- Expresar {x} en función de y en la ecuación:
- 12*x+8*y=18
- 8*x+6*y=20
- -2*x+18*y=13
- -11*x-1*y=15
-
Expresiones idénticas
- uno ÷(x- tres)^ dos - tres ÷x- tres - cuatro = cero
- 1÷(x menos 3) al cuadrado menos 3÷x menos 3 menos 4 es igual a 0
- uno ÷(x menos tres) en el grado dos menos tres ÷x menos tres menos cuatro es igual a cero
- 1÷(x-3)2-3÷x-3-4=0
- 1÷x-32-3÷x-3-4=0
- 1÷(x-3)²-3÷x-3-4=0
- 1÷(x-3) en el grado 2-3÷x-3-4=0
- 1÷x-3^2-3÷x-3-4=0
- 1÷(x-3)^2-3÷x-3-4=O
-
Expresiones semejantes
- 1÷(x-3)^2-3÷x+3-4=0
- 1÷(x-3)^2+3÷x-3-4=0
- 1÷(x-3)^2-3÷x-3+4=0
- 1÷(x+3)^2-3÷x-3-4=0
1÷(x-3)^2-3÷x-3-4=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
1 3
-------- - - - 3 - 4 = 0
2 x
(x - 3)
$$\left(\left(\frac{1}{\left(x - 3\right)^{2}} - \frac{3}{x}\right) - 3\right) - 4 = 0$$
Respuesta rápida
[src]
/ 1 \ / / 1 \ \
199*re|---------------------------------------------| | 199*im|---------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\
| ________________________| | | ________________________| | |7*\/ 490971 || | |7*\/ 490971 ||| | |7*\/ 490971 || | |7*\/ 490971 ||
|/ ___\ / ________ | | |/ ___\ / ________ | |atan|------------|| |atan|------------||| |atan|------------|| |atan|------------||
|| 1 I*\/ 3 | / 25191 3*I*\/ 490971 | | || 1 I*\/ 3 | / 25191 3*I*\/ 490971 | _____ | \ 8397 /| _____ | \ 8397 /|| _____ | \ 8397 /| _____ | \ 8397 /|
||- - - -------|*3 / ----- + -------------- | | ||- - - -------|*3 / ----- + -------------- | \/ 199 *cos|------------------| \/ 597 *sin|------------------|| \/ 199 *sin|------------------| \/ 597 *cos|------------------|
13 \\ 2 2 / \/ 686 98 / | \\ 2 2 / \/ 686 98 / \ 3 / \ 3 /| \ 3 / \ 3 /
x1 = -- - ----------------------------------------------------- + I*|- ----------------------------------------------------- + ------------------------------- + -------------------------------| - ------------------------------- + -------------------------------
7 49 \ 49 14 42 / 14 42
$$x_{1} = - \frac{\sqrt{199} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14} - \frac{199 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{\sqrt{597} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} + \frac{13}{7} + i \left(- \frac{199 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{\sqrt{597} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} + \frac{\sqrt{199} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14}\right)$$
/ 1 \ / / 1 \ \
199*re|---------------------------------------------| | 199*im|---------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\
| ________________________| | | ________________________| | |7*\/ 490971 || | |7*\/ 490971 ||| | |7*\/ 490971 || | |7*\/ 490971 ||
|/ ___\ / ________ | | |/ ___\ / ________ | |atan|------------|| |atan|------------||| |atan|------------|| |atan|------------||
|| 1 I*\/ 3 | / 25191 3*I*\/ 490971 | | || 1 I*\/ 3 | / 25191 3*I*\/ 490971 | _____ | \ 8397 /| _____ | \ 8397 /|| _____ | \ 8397 /| _____ | \ 8397 /|
||- - + -------|*3 / ----- + -------------- | | ||- - + -------|*3 / ----- + -------------- | \/ 199 *cos|------------------| \/ 597 *sin|------------------|| \/ 199 *sin|------------------| \/ 597 *cos|------------------|
13 \\ 2 2 / \/ 686 98 / | \\ 2 2 / \/ 686 98 / \ 3 / \ 3 /| \ 3 / \ 3 /
x2 = -- - ----------------------------------------------------- + I*|- ----------------------------------------------------- - ------------------------------- + -------------------------------| + ------------------------------- + -------------------------------
7 49 \ 49 14 42 / 14 42
$$x_{2} = \frac{\sqrt{199} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14} + \frac{\sqrt{597} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} - \frac{199 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{13}{7} + i \left(- \frac{\sqrt{199} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14} + \frac{\sqrt{597} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} - \frac{199 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49}\right)$$
________________________
/ ________
/ 25191 3*I*\/ 490971
3 / ----- + --------------
13 199 \/ 686 98
x3 = -- - -------------------------------- - -----------------------------
7 ________________________ 3
/ ________
/ 25191 3*I*\/ 490971
49*3 / ----- + --------------
\/ 686 98
$$x_{3} = \frac{13}{7} - \frac{\sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}{3} - \frac{199}{49 \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}$$
x3 = 13/7 - (25191/686 + 3*sqrt(490971)*i/98)^(1/3)/3 - 199/(49*(25191/686 + 3*sqrt(490971)*i/98)^(1/3))
Suma y producto de raíces
[src]
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
199*re|---------------------------------------------| | 199*im|---------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\ 199*re|---------------------------------------------| | 199*im|---------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\
| ________________________| | | ________________________| | |7*\/ 490971 || | |7*\/ 490971 ||| | |7*\/ 490971 || | |7*\/ 490971 || | ________________________| | | ________________________| | |7*\/ 490971 || | |7*\/ 490971 ||| | |7*\/ 490971 || | |7*\/ 490971 || ________________________
|/ ___\ / ________ | | |/ ___\ / ________ | |atan|------------|| |atan|------------||| |atan|------------|| |atan|------------|| |/ ___\ / ________ | | |/ ___\ / ________ | |atan|------------|| |atan|------------||| |atan|------------|| |atan|------------|| / ________
|| 1 I*\/ 3 | / 25191 3*I*\/ 490971 | | || 1 I*\/ 3 | / 25191 3*I*\/ 490971 | _____ | \ 8397 /| _____ | \ 8397 /|| _____ | \ 8397 /| _____ | \ 8397 /| || 1 I*\/ 3 | / 25191 3*I*\/ 490971 | | || 1 I*\/ 3 | / 25191 3*I*\/ 490971 | _____ | \ 8397 /| _____ | \ 8397 /|| _____ | \ 8397 /| _____ | \ 8397 /| / 25191 3*I*\/ 490971
||- - - -------|*3 / ----- + -------------- | | ||- - - -------|*3 / ----- + -------------- | \/ 199 *cos|------------------| \/ 597 *sin|------------------|| \/ 199 *sin|------------------| \/ 597 *cos|------------------| ||- - + -------|*3 / ----- + -------------- | | ||- - + -------|*3 / ----- + -------------- | \/ 199 *cos|------------------| \/ 597 *sin|------------------|| \/ 199 *sin|------------------| \/ 597 *cos|------------------| 3 / ----- + --------------
13 \\ 2 2 / \/ 686 98 / | \\ 2 2 / \/ 686 98 / \ 3 / \ 3 /| \ 3 / \ 3 / 13 \\ 2 2 / \/ 686 98 / | \\ 2 2 / \/ 686 98 / \ 3 / \ 3 /| \ 3 / \ 3 / 13 199 \/ 686 98
-- - ----------------------------------------------------- + I*|- ----------------------------------------------------- + ------------------------------- + -------------------------------| - ------------------------------- + ------------------------------- + -- - ----------------------------------------------------- + I*|- ----------------------------------------------------- - ------------------------------- + -------------------------------| + ------------------------------- + ------------------------------- + -- - -------------------------------- - -----------------------------
7 49 \ 49 14 42 / 14 42 7 49 \ 49 14 42 / 14 42 7 ________________________ 3
/ ________
/ 25191 3*I*\/ 490971
49*3 / ----- + --------------
\/ 686 98
$$\left(\left(- \frac{\sqrt{199} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14} - \frac{199 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{\sqrt{597} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} + \frac{13}{7} + i \left(- \frac{199 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{\sqrt{597} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} + \frac{\sqrt{199} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14}\right)\right) + \left(\frac{\sqrt{199} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14} + \frac{\sqrt{597} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} - \frac{199 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{13}{7} + i \left(- \frac{\sqrt{199} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14} + \frac{\sqrt{597} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} - \frac{199 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49}\right)\right)\right) + \left(\frac{13}{7} - \frac{\sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}{3} - \frac{199}{49 \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
199*re|---------------------------------------------| 199*re|---------------------------------------------| | 199*im|---------------------------------------------| / / ________\\ / / ________\\| | 199*im|---------------------------------------------| / / ________\\ / / ________\\| / / ________\\
| ________________________| | ________________________| ________________________ | | ________________________| | |7*\/ 490971 || | |7*\/ 490971 ||| | | ________________________| | |7*\/ 490971 || | |7*\/ 490971 ||| | |7*\/ 490971 ||
|/ ___\ / ________ | |/ ___\ / ________ | / ________ | |/ ___\ / ________ | |atan|------------|| |atan|------------||| | |/ ___\ / ________ | |atan|------------|| |atan|------------||| |atan|------------||
|| 1 I*\/ 3 | / 25191 3*I*\/ 490971 | || 1 I*\/ 3 | / 25191 3*I*\/ 490971 | / 25191 3*I*\/ 490971 | || 1 I*\/ 3 | / 25191 3*I*\/ 490971 | _____ | \ 8397 /| _____ | \ 8397 /|| | || 1 I*\/ 3 | / 25191 3*I*\/ 490971 | _____ | \ 8397 /| _____ | \ 8397 /|| _____ | \ 8397 /|
||- - + -------|*3 / ----- + -------------- | ||- - - -------|*3 / ----- + -------------- | 3 / ----- + -------------- | ||- - + -------|*3 / ----- + -------------- | \/ 199 *cos|------------------| \/ 597 *sin|------------------|| | ||- - - -------|*3 / ----- + -------------- | \/ 199 *cos|------------------| \/ 597 *sin|------------------|| \/ 597 *cos|------------------|
39 199 \\ 2 2 / \/ 686 98 / \\ 2 2 / \/ 686 98 / \/ 686 98 | \\ 2 2 / \/ 686 98 / \ 3 / \ 3 /| | \\ 2 2 / \/ 686 98 / \ 3 / \ 3 /| \ 3 /
-- - -------------------------------- - ----------------------------------------------------- - ----------------------------------------------------- - ----------------------------- + I*|- ----------------------------------------------------- - ------------------------------- + -------------------------------| + I*|- ----------------------------------------------------- + ------------------------------- + -------------------------------| + -------------------------------
7 ________________________ 49 49 3 \ 49 14 42 / \ 49 14 42 / 21
/ ________
/ 25191 3*I*\/ 490971
49*3 / ----- + --------------
\/ 686 98
$$- \frac{199 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} - \frac{199 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{\sqrt{597} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{21} + \frac{39}{7} - \frac{\sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}{3} + i \left(- \frac{199 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{\sqrt{597} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} + \frac{\sqrt{199} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14}\right) + i \left(- \frac{\sqrt{199} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14} + \frac{\sqrt{597} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} - \frac{199 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49}\right) - \frac{199}{49 \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}$$
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \
| 199*re|---------------------------------------------| | 199*im|---------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\| | 199*re|---------------------------------------------| | 199*im|---------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\|
| | ________________________| | | ________________________| | |7*\/ 490971 || | |7*\/ 490971 ||| | |7*\/ 490971 || | |7*\/ 490971 ||| | | ________________________| | | ________________________| | |7*\/ 490971 || | |7*\/ 490971 ||| | |7*\/ 490971 || | |7*\/ 490971 ||| / ________________________\
| |/ ___\ / ________ | | |/ ___\ / ________ | |atan|------------|| |atan|------------||| |atan|------------|| |atan|------------||| | |/ ___\ / ________ | | |/ ___\ / ________ | |atan|------------|| |atan|------------||| |atan|------------|| |atan|------------||| | / ________ |
| || 1 I*\/ 3 | / 25191 3*I*\/ 490971 | | || 1 I*\/ 3 | / 25191 3*I*\/ 490971 | _____ | \ 8397 /| _____ | \ 8397 /|| _____ | \ 8397 /| _____ | \ 8397 /|| | || 1 I*\/ 3 | / 25191 3*I*\/ 490971 | | || 1 I*\/ 3 | / 25191 3*I*\/ 490971 | _____ | \ 8397 /| _____ | \ 8397 /|| _____ | \ 8397 /| _____ | \ 8397 /|| | / 25191 3*I*\/ 490971 |
| ||- - - -------|*3 / ----- + -------------- | | ||- - - -------|*3 / ----- + -------------- | \/ 199 *cos|------------------| \/ 597 *sin|------------------|| \/ 199 *sin|------------------| \/ 597 *cos|------------------|| | ||- - + -------|*3 / ----- + -------------- | | ||- - + -------|*3 / ----- + -------------- | \/ 199 *cos|------------------| \/ 597 *sin|------------------|| \/ 199 *sin|------------------| \/ 597 *cos|------------------|| | 3 / ----- + -------------- |
|13 \\ 2 2 / \/ 686 98 / | \\ 2 2 / \/ 686 98 / \ 3 / \ 3 /| \ 3 / \ 3 /| |13 \\ 2 2 / \/ 686 98 / | \\ 2 2 / \/ 686 98 / \ 3 / \ 3 /| \ 3 / \ 3 /| |13 199 \/ 686 98 |
|-- - ----------------------------------------------------- + I*|- ----------------------------------------------------- + ------------------------------- + -------------------------------| - ------------------------------- + -------------------------------|*|-- - ----------------------------------------------------- + I*|- ----------------------------------------------------- - ------------------------------- + -------------------------------| + ------------------------------- + -------------------------------|*|-- - -------------------------------- - -----------------------------|
\7 49 \ 49 14 42 / 14 42 / \7 49 \ 49 14 42 / 14 42 / |7 ________________________ 3 |
| / ________ |
| / 25191 3*I*\/ 490971 |
| 49*3 / ----- + -------------- |
\ \/ 686 98 /
$$\left(- \frac{\sqrt{199} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14} - \frac{199 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{\sqrt{597} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} + \frac{13}{7} + i \left(- \frac{199 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{\sqrt{597} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} + \frac{\sqrt{199} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14}\right)\right) \left(\frac{\sqrt{199} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14} + \frac{\sqrt{597} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} - \frac{199 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{13}{7} + i \left(- \frac{\sqrt{199} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14} + \frac{\sqrt{597} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} - \frac{199 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49}\right)\right) \left(\frac{13}{7} - \frac{\sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}{3} - \frac{199}{49 \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)$$
=
/ / / ________\\ / / ________\\\
| | |7*\/ 490971 || | |7*\/ 490971 |||
/ _________________________ / _________________________\\ | |2*atan|------------|| |atan|------------|||
2/3 | 3 ___ 3 / ________ | 2/3 3 / ________ || | | \ 8397 /| _____ | \ 8397 /||
-3 *\1194*\/ 2 - \/ 25191 + 21*I*\/ 490971 *\78 - 2 *\/ 25191 + 21*I*\/ 490971 //*|3696 + 4776*cos|--------------------| + 312*\/ 597 *cos|------------------||
\ \ 3 / \ 3 //
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------
_______________________
3 / ________
222264*\/ 8397 + 7*I*\/ 490971
$$- \frac{3^{\frac{2}{3}} \left(1194 \sqrt[3]{2} - \left(78 - 2^{\frac{2}{3}} \sqrt[3]{25191 + 21 \sqrt{490971} i}\right) \sqrt[3]{25191 + 21 \sqrt{490971} i}\right) \left(3696 + 4776 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)} + 312 \sqrt{597} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}\right)}{222264 \sqrt[3]{8397 + 7 \sqrt{490971} i}}$$
-3^(2/3)*(1194*2^(1/3) - (25191 + 21*i*sqrt(490971))^(1/3)*(78 - 2^(2/3)*(25191 + 21*i*sqrt(490971))^(1/3)))*(3696 + 4776*cos(2*atan(7*sqrt(490971)/8397)/3) + 312*sqrt(597)*cos(atan(7*sqrt(490971)/8397)/3))/(222264*(8397 + 7*i*sqrt(490971))^(1/3))
Respuesta numérica
[src]
x1 = 2.64933556712786 + 0.e-22*i
x2 = 3.35592051444797 - 0.e-23*i
x3 = -0.433827510147265 + 0.e-21*i
x3 = -0.433827510147265 + 0.e-21*i