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- La ecuación:
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Ecuación (x-3)*(x+2)=0
-
Ecuación z^2-6*z+10=0
-
Ecuación 4/(x-4)=-5
-
Ecuación (x-6)^2=-24*x
- Expresar {x} en función de y en la ecuación:
- -7*x-13*y=5
- 15*x+1*y=19
- 7*x-1*y=-7
- -14*x-12*y=5
- Suma de la serie:
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4/5
- Límite de la función:
- 4/5
-
Expresiones idénticas
- x- cuatro /x- tres + seis /x^ dos = cuatro / cinco
- x menos 4 dividir por x menos 3 más 6 dividir por x al cuadrado es igual a 4 dividir por 5
- x menos cuatro dividir por x menos tres más seis dividir por x en el grado dos es igual a cuatro dividir por cinco
- x-4/x-3+6/x2=4/5
- x-4/x-3+6/x²=4/5
- x-4/x-3+6/x en el grado 2=4/5
- x-4 dividir por x-3+6 dividir por x^2=4 dividir por 5
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Expresiones semejantes
- x+4/x-3+6/x^2=4/5
- x-4/x+3+6/x^2=4/5
- x-4/x-3-6/x^2=4/5
- (6x-4)/5-(2x-x)/4=(3x+1)/2
- (x-4)/5-(2+x)/15=2/3
x-4/x-3+6/x^2=4/5 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
4 6
x - - - 3 + -- = 4/5
x 2
x
$$\left(\left(x - \frac{4}{x}\right) - 3\right) + \frac{6}{x^{2}} = \frac{4}{5}$$
Suma y producto de raíces
[src]
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
661*re|-------------------------------------------| |661*im|-------------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\ 661*re|-------------------------------------------| |661*im|-------------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\
| ______________________| | | ______________________| | |15*\/ 1159485 || | |15*\/ 1159485 ||| | |15*\/ 1159485 || | |15*\/ 1159485 || | ______________________| | | ______________________| | |15*\/ 1159485 || | |15*\/ 1159485 ||| | |15*\/ 1159485 || | |15*\/ 1159485 ||
|/ ___\ / _________ | | |/ ___\ / _________ | |atan|--------------|| |atan|--------------||| |atan|--------------|| |atan|--------------|| |/ ___\ / _________ | | |/ ___\ / _________ | |atan|--------------|| |atan|--------------||| |atan|--------------|| |atan|--------------||
|| 1 I*\/ 3 | / 5284 I*\/ 1159485 | | || 1 I*\/ 3 | / 5284 I*\/ 1159485 | _____ | \ 5284 /| ______ | \ 5284 /|| _____ | \ 5284 /| ______ | \ 5284 /| || 1 I*\/ 3 | / 5284 I*\/ 1159485 | | || 1 I*\/ 3 | / 5284 I*\/ 1159485 | _____ | \ 5284 /| ______ | \ 5284 /|| _____ | \ 5284 /| ______ | \ 5284 /| ______________________
||- - - -------|*3 / ---- + ------------- | | ||- - - -------|*3 / ---- + ------------- | \/ 661 *sin|--------------------| \/ 1983 *cos|--------------------|| \/ 661 *cos|--------------------| \/ 1983 *sin|--------------------| ||- - + -------|*3 / ---- + ------------- | | ||- - + -------|*3 / ---- + ------------- | \/ 661 *sin|--------------------| \/ 1983 *cos|--------------------|| \/ 661 *cos|--------------------| \/ 1983 *sin|--------------------| / _________
19 \\ 2 2 / \/ 3375 225 / | \\ 2 2 / \/ 3375 225 / \ 3 / \ 3 /| \ 3 / \ 3 / 19 \\ 2 2 / \/ 3375 225 / | \\ 2 2 / \/ 3375 225 / \ 3 / \ 3 /| \ 3 / \ 3 / 19 / 5284 I*\/ 1159485 661
-- + --------------------------------------------------- + I*|--------------------------------------------------- - --------------------------------- - ----------------------------------| - --------------------------------- + ---------------------------------- + -- + --------------------------------------------------- + I*|--------------------------------------------------- - --------------------------------- + ----------------------------------| - --------------------------------- - ---------------------------------- + -- + 3 / ---- + ------------- + -------------------------------
15 225 \ 225 30 30 / 30 30 15 225 \ 225 30 30 / 30 30 15 \/ 3375 225 ______________________
/ _________
/ 5284 I*\/ 1159485
225*3 / ---- + -------------
\/ 3375 225
$$\left(\frac{19}{15} + \frac{661}{225 \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}} + \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}\right) + \left(\left(- \frac{\sqrt{661} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{661 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} + \frac{\sqrt{1983} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{19}{15} + i \left(- \frac{\sqrt{1983} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} - \frac{\sqrt{661} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{661 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225}\right)\right) + \left(\frac{661 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} - \frac{\sqrt{661} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} - \frac{\sqrt{1983} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{19}{15} + i \left(\frac{661 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} - \frac{\sqrt{661} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{\sqrt{1983} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30}\right)\right)\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
661*re|-------------------------------------------| 661*re|-------------------------------------------| |661*im|-------------------------------------------| / / _________\\ / / _________\\| |661*im|-------------------------------------------| / / _________\\ / / _________\\| / / _________\\
| ______________________| | ______________________| | | ______________________| | |15*\/ 1159485 || | |15*\/ 1159485 ||| | | ______________________| | |15*\/ 1159485 || | |15*\/ 1159485 ||| | |15*\/ 1159485 ||
|/ ___\ / _________ | |/ ___\ / _________ | | |/ ___\ / _________ | |atan|--------------|| |atan|--------------||| | |/ ___\ / _________ | |atan|--------------|| |atan|--------------||| |atan|--------------||
______________________ || 1 I*\/ 3 | / 5284 I*\/ 1159485 | || 1 I*\/ 3 | / 5284 I*\/ 1159485 | | || 1 I*\/ 3 | / 5284 I*\/ 1159485 | _____ | \ 5284 /| ______ | \ 5284 /|| | || 1 I*\/ 3 | / 5284 I*\/ 1159485 | _____ | \ 5284 /| ______ | \ 5284 /|| _____ | \ 5284 /|
/ _________ ||- - + -------|*3 / ---- + ------------- | ||- - - -------|*3 / ---- + ------------- | | ||- - + -------|*3 / ---- + ------------- | \/ 661 *sin|--------------------| \/ 1983 *cos|--------------------|| | ||- - - -------|*3 / ---- + ------------- | \/ 661 *sin|--------------------| \/ 1983 *cos|--------------------|| \/ 661 *cos|--------------------|
19 / 5284 I*\/ 1159485 661 \\ 2 2 / \/ 3375 225 / \\ 2 2 / \/ 3375 225 / | \\ 2 2 / \/ 3375 225 / \ 3 / \ 3 /| | \\ 2 2 / \/ 3375 225 / \ 3 / \ 3 /| \ 3 /
-- + 3 / ---- + ------------- + ------------------------------- + --------------------------------------------------- + --------------------------------------------------- + I*|--------------------------------------------------- - --------------------------------- + ----------------------------------| + I*|--------------------------------------------------- - --------------------------------- - ----------------------------------| - ---------------------------------
5 \/ 3375 225 ______________________ 225 225 \ 225 30 30 / \ 225 30 30 / 15
/ _________
/ 5284 I*\/ 1159485
225*3 / ---- + -------------
\/ 3375 225
$$- \frac{\sqrt{661} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{15} + \frac{661 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} + \frac{661 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} + \frac{19}{5} + \frac{661}{225 \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}} + i \left(\frac{661 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} - \frac{\sqrt{661} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{\sqrt{1983} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30}\right) + i \left(- \frac{\sqrt{1983} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} - \frac{\sqrt{661} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{661 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225}\right) + \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}$$
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \
| 661*re|-------------------------------------------| |661*im|-------------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\| | 661*re|-------------------------------------------| |661*im|-------------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\|
| | ______________________| | | ______________________| | |15*\/ 1159485 || | |15*\/ 1159485 ||| | |15*\/ 1159485 || | |15*\/ 1159485 ||| | | ______________________| | | ______________________| | |15*\/ 1159485 || | |15*\/ 1159485 ||| | |15*\/ 1159485 || | |15*\/ 1159485 |||
| |/ ___\ / _________ | | |/ ___\ / _________ | |atan|--------------|| |atan|--------------||| |atan|--------------|| |atan|--------------||| | |/ ___\ / _________ | | |/ ___\ / _________ | |atan|--------------|| |atan|--------------||| |atan|--------------|| |atan|--------------|||
| || 1 I*\/ 3 | / 5284 I*\/ 1159485 | | || 1 I*\/ 3 | / 5284 I*\/ 1159485 | _____ | \ 5284 /| ______ | \ 5284 /|| _____ | \ 5284 /| ______ | \ 5284 /|| | || 1 I*\/ 3 | / 5284 I*\/ 1159485 | | || 1 I*\/ 3 | / 5284 I*\/ 1159485 | _____ | \ 5284 /| ______ | \ 5284 /|| _____ | \ 5284 /| ______ | \ 5284 /|| / ______________________ \
| ||- - - -------|*3 / ---- + ------------- | | ||- - - -------|*3 / ---- + ------------- | \/ 661 *sin|--------------------| \/ 1983 *cos|--------------------|| \/ 661 *cos|--------------------| \/ 1983 *sin|--------------------|| | ||- - + -------|*3 / ---- + ------------- | | ||- - + -------|*3 / ---- + ------------- | \/ 661 *sin|--------------------| \/ 1983 *cos|--------------------|| \/ 661 *cos|--------------------| \/ 1983 *sin|--------------------|| | / _________ |
|19 \\ 2 2 / \/ 3375 225 / | \\ 2 2 / \/ 3375 225 / \ 3 / \ 3 /| \ 3 / \ 3 /| |19 \\ 2 2 / \/ 3375 225 / | \\ 2 2 / \/ 3375 225 / \ 3 / \ 3 /| \ 3 / \ 3 /| |19 / 5284 I*\/ 1159485 661 |
|-- + --------------------------------------------------- + I*|--------------------------------------------------- - --------------------------------- - ----------------------------------| - --------------------------------- + ----------------------------------|*|-- + --------------------------------------------------- + I*|--------------------------------------------------- - --------------------------------- + ----------------------------------| - --------------------------------- - ----------------------------------|*|-- + 3 / ---- + ------------- + -------------------------------|
\15 225 \ 225 30 30 / 30 30 / \15 225 \ 225 30 30 / 30 30 / |15 \/ 3375 225 ______________________|
| / _________ |
| / 5284 I*\/ 1159485 |
| 225*3 / ---- + ------------- |
\ \/ 3375 225 /
$$\left(- \frac{\sqrt{661} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{661 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} + \frac{\sqrt{1983} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{19}{15} + i \left(- \frac{\sqrt{1983} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} - \frac{\sqrt{661} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{661 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225}\right)\right) \left(\frac{661 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} - \frac{\sqrt{661} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} - \frac{\sqrt{1983} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{19}{15} + i \left(\frac{661 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} - \frac{\sqrt{661} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{\sqrt{1983} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30}\right)\right) \left(\frac{19}{15} + \frac{661}{225 \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}} + \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}\right)$$
=
/ / / _________\\ / / _________\\\
| | |15*\/ 1159485 || | |15*\/ 1159485 |||
/ _________________________ / _________________________\\ | |2*atan|--------------|| |atan|--------------|||
| 3 / _________ | 3 / _________ || | | \ 5284 /| _____ | \ 5284 /||
\661 + \/ 5284 + 15*I*\/ 1159485 *\19 + \/ 5284 + 15*I*\/ 1159485 //*|-300 + 1322*cos|----------------------| - 38*\/ 661 *cos|--------------------||
\ \ 3 / \ 3 //
---------------------------------------------------------------------------------------------------------------------------------------------------------
_________________________
3 / _________
3375*\/ 5284 + 15*I*\/ 1159485
$$\frac{\left(661 + \left(19 + \sqrt[3]{5284 + 15 \sqrt{1159485} i}\right) \sqrt[3]{5284 + 15 \sqrt{1159485} i}\right) \left(- 38 \sqrt{661} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)} - 300 + 1322 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}\right)}{3375 \sqrt[3]{5284 + 15 \sqrt{1159485} i}}$$
(661 + (5284 + 15*i*sqrt(1159485))^(1/3)*(19 + (5284 + 15*i*sqrt(1159485))^(1/3)))*(-300 + 1322*cos(2*atan(15*sqrt(1159485)/5284)/3) - 38*sqrt(661)*cos(atan(15*sqrt(1159485)/5284)/3))/(3375*(5284 + 15*i*sqrt(1159485))^(1/3))
Respuesta rápida
[src]
/ 1 \ / / 1 \ \
661*re|-------------------------------------------| |661*im|-------------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\
| ______________________| | | ______________________| | |15*\/ 1159485 || | |15*\/ 1159485 ||| | |15*\/ 1159485 || | |15*\/ 1159485 ||
|/ ___\ / _________ | | |/ ___\ / _________ | |atan|--------------|| |atan|--------------||| |atan|--------------|| |atan|--------------||
|| 1 I*\/ 3 | / 5284 I*\/ 1159485 | | || 1 I*\/ 3 | / 5284 I*\/ 1159485 | _____ | \ 5284 /| ______ | \ 5284 /|| _____ | \ 5284 /| ______ | \ 5284 /|
||- - - -------|*3 / ---- + ------------- | | ||- - - -------|*3 / ---- + ------------- | \/ 661 *sin|--------------------| \/ 1983 *cos|--------------------|| \/ 661 *cos|--------------------| \/ 1983 *sin|--------------------|
19 \\ 2 2 / \/ 3375 225 / | \\ 2 2 / \/ 3375 225 / \ 3 / \ 3 /| \ 3 / \ 3 /
x1 = -- + --------------------------------------------------- + I*|--------------------------------------------------- - --------------------------------- - ----------------------------------| - --------------------------------- + ----------------------------------
15 225 \ 225 30 30 / 30 30
$$x_{1} = - \frac{\sqrt{661} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{661 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} + \frac{\sqrt{1983} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{19}{15} + i \left(- \frac{\sqrt{1983} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} - \frac{\sqrt{661} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{661 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225}\right)$$
/ 1 \ / / 1 \ \
661*re|-------------------------------------------| |661*im|-------------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\
| ______________________| | | ______________________| | |15*\/ 1159485 || | |15*\/ 1159485 ||| | |15*\/ 1159485 || | |15*\/ 1159485 ||
|/ ___\ / _________ | | |/ ___\ / _________ | |atan|--------------|| |atan|--------------||| |atan|--------------|| |atan|--------------||
|| 1 I*\/ 3 | / 5284 I*\/ 1159485 | | || 1 I*\/ 3 | / 5284 I*\/ 1159485 | _____ | \ 5284 /| ______ | \ 5284 /|| _____ | \ 5284 /| ______ | \ 5284 /|
||- - + -------|*3 / ---- + ------------- | | ||- - + -------|*3 / ---- + ------------- | \/ 661 *sin|--------------------| \/ 1983 *cos|--------------------|| \/ 661 *cos|--------------------| \/ 1983 *sin|--------------------|
19 \\ 2 2 / \/ 3375 225 / | \\ 2 2 / \/ 3375 225 / \ 3 / \ 3 /| \ 3 / \ 3 /
x2 = -- + --------------------------------------------------- + I*|--------------------------------------------------- - --------------------------------- + ----------------------------------| - --------------------------------- - ----------------------------------
15 225 \ 225 30 30 / 30 30
$$x_{2} = \frac{661 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} - \frac{\sqrt{661} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} - \frac{\sqrt{1983} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{19}{15} + i \left(\frac{661 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} - \frac{\sqrt{661} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{\sqrt{1983} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30}\right)$$
______________________
/ _________
19 / 5284 I*\/ 1159485 661
x3 = -- + 3 / ---- + ------------- + -------------------------------
15 \/ 3375 225 ______________________
/ _________
/ 5284 I*\/ 1159485
225*3 / ---- + -------------
\/ 3375 225
$$x_{3} = \frac{19}{15} + \frac{661}{225 \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}} + \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}$$
x3 = 19/15 + 661/(225*(5284/3375 + sqrt(1159485)*i/225)^(1/3)) + (5284/3375 + sqrt(1159485)*i/225)^(1/3)
Respuesta numérica
[src]
x1 = 0.906059433302906 + 0.e-20*i
x2 = -1.50528396565638 + 0.e-20*i
x3 = 4.39922453235347 - 0.e-20*i
x3 = 4.39922453235347 - 0.e-20*i