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Ecuación 15/x=3
- Expresar {x} en función de y en la ecuación:
- -7*x+15*y=18
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- -1*x-6*y=18
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Expresiones idénticas
- 5x- quince /(x- tres)(x+ dos)= dos /x+ dos
- 5x menos 15 dividir por (x menos 3)(x más 2) es igual a 2 dividir por x más 2
- 5x menos quince dividir por (x menos tres)(x más dos) es igual a dos dividir por x más dos
- 5x-15/x-3x+2=2/x+2
- 5x-15 dividir por (x-3)(x+2)=2 dividir por x+2
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Expresiones semejantes
- 5x-15/(x-3)(x+2)=2/x-2
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- 5x+15/(x-3)(x+2)=2/x+2
- 5x-15/(x+3)(x+2)=2/x+2
- 5x-15/(x-3)(x-2)=2/x+2
- 1/x+2/(x+2)=1
- (x-2)/(x+2)=(x+3)/(x-4)
- (5x-2)/(x+2)=(6x-21)/(x+3)
5x-15/(x-3)(x+2)=2/x+2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
15 2
5*x - -----*(x + 2) = - + 2
x - 3 x
$$5 x - \frac{15}{x - 3} \left(x + 2\right) = 2 + \frac{2}{x}$$
Respuesta rápida
[src]
/ 1 \ / / 1 \ \
1414*re|--------------------------------------------| |1414*im|--------------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\
| _______________________| | | _______________________| | |15*\/ 1691367 || | |15*\/ 1691367 ||| | |15*\/ 1691367 || | |15*\/ 1691367 ||
|/ ___\ / _________ | | |/ ___\ / _________ | |atan|--------------|| |atan|--------------||| |atan|--------------|| |atan|--------------||
|| 1 I*\/ 3 | / 49463 I*\/ 1691367 | | || 1 I*\/ 3 | / 49463 I*\/ 1691367 | ______ | \ 49463 /| ______ | \ 49463 /|| ______ | \ 49463 /| ______ | \ 49463 /|
||- - - -------|*3 / ----- + ------------- | | ||- - - -------|*3 / ----- + ------------- | \/ 1414 *sin|--------------------| \/ 4242 *cos|--------------------|| \/ 1414 *cos|--------------------| \/ 4242 *sin|--------------------|
32 \\ 2 2 / \/ 3375 225 / | \\ 2 2 / \/ 3375 225 / \ 3 / \ 3 /| \ 3 / \ 3 /
x1 = -- + ----------------------------------------------------- + I*|----------------------------------------------------- - ---------------------------------- - ----------------------------------| - ---------------------------------- + ----------------------------------
15 225 \ 225 30 30 / 30 30
$$x_{1} = - \frac{\sqrt{1414} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} + \frac{1414 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}}\right)}}{225} + \frac{\sqrt{4242} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} + \frac{32}{15} + i \left(- \frac{\sqrt{4242} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} - \frac{\sqrt{1414} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} + \frac{1414 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}}\right)}}{225}\right)$$
/ 1 \ / / 1 \ \
1414*re|--------------------------------------------| |1414*im|--------------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\
| _______________________| | | _______________________| | |15*\/ 1691367 || | |15*\/ 1691367 ||| | |15*\/ 1691367 || | |15*\/ 1691367 ||
|/ ___\ / _________ | | |/ ___\ / _________ | |atan|--------------|| |atan|--------------||| |atan|--------------|| |atan|--------------||
|| 1 I*\/ 3 | / 49463 I*\/ 1691367 | | || 1 I*\/ 3 | / 49463 I*\/ 1691367 | ______ | \ 49463 /| ______ | \ 49463 /|| ______ | \ 49463 /| ______ | \ 49463 /|
||- - + -------|*3 / ----- + ------------- | | ||- - + -------|*3 / ----- + ------------- | \/ 1414 *sin|--------------------| \/ 4242 *cos|--------------------|| \/ 1414 *cos|--------------------| \/ 4242 *sin|--------------------|
32 \\ 2 2 / \/ 3375 225 / | \\ 2 2 / \/ 3375 225 / \ 3 / \ 3 /| \ 3 / \ 3 /
x2 = -- + ----------------------------------------------------- + I*|----------------------------------------------------- - ---------------------------------- + ----------------------------------| - ---------------------------------- - ----------------------------------
15 225 \ 225 30 30 / 30 30
$$x_{2} = \frac{1414 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}}\right)}}{225} - \frac{\sqrt{1414} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} - \frac{\sqrt{4242} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} + \frac{32}{15} + i \left(\frac{1414 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}}\right)}}{225} - \frac{\sqrt{1414} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} + \frac{\sqrt{4242} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30}\right)$$
_______________________
/ _________
32 / 49463 I*\/ 1691367 1414
x3 = -- + 3 / ----- + ------------- + --------------------------------
15 \/ 3375 225 _______________________
/ _________
/ 49463 I*\/ 1691367
225*3 / ----- + -------------
\/ 3375 225
$$x_{3} = \frac{32}{15} + \frac{1414}{225 \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}} + \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}$$
x3 = 32/15 + 1414/(225*(49463/3375 + sqrt(1691367)*i/225)^(1/3)) + (49463/3375 + sqrt(1691367)*i/225)^(1/3)
Suma y producto de raíces
[src]
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
1414*re|--------------------------------------------| |1414*im|--------------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\ 1414*re|--------------------------------------------| |1414*im|--------------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\
| _______________________| | | _______________________| | |15*\/ 1691367 || | |15*\/ 1691367 ||| | |15*\/ 1691367 || | |15*\/ 1691367 || | _______________________| | | _______________________| | |15*\/ 1691367 || | |15*\/ 1691367 ||| | |15*\/ 1691367 || | |15*\/ 1691367 ||
|/ ___\ / _________ | | |/ ___\ / _________ | |atan|--------------|| |atan|--------------||| |atan|--------------|| |atan|--------------|| |/ ___\ / _________ | | |/ ___\ / _________ | |atan|--------------|| |atan|--------------||| |atan|--------------|| |atan|--------------||
|| 1 I*\/ 3 | / 49463 I*\/ 1691367 | | || 1 I*\/ 3 | / 49463 I*\/ 1691367 | ______ | \ 49463 /| ______ | \ 49463 /|| ______ | \ 49463 /| ______ | \ 49463 /| || 1 I*\/ 3 | / 49463 I*\/ 1691367 | | || 1 I*\/ 3 | / 49463 I*\/ 1691367 | ______ | \ 49463 /| ______ | \ 49463 /|| ______ | \ 49463 /| ______ | \ 49463 /| _______________________
||- - - -------|*3 / ----- + ------------- | | ||- - - -------|*3 / ----- + ------------- | \/ 1414 *sin|--------------------| \/ 4242 *cos|--------------------|| \/ 1414 *cos|--------------------| \/ 4242 *sin|--------------------| ||- - + -------|*3 / ----- + ------------- | | ||- - + -------|*3 / ----- + ------------- | \/ 1414 *sin|--------------------| \/ 4242 *cos|--------------------|| \/ 1414 *cos|--------------------| \/ 4242 *sin|--------------------| / _________
32 \\ 2 2 / \/ 3375 225 / | \\ 2 2 / \/ 3375 225 / \ 3 / \ 3 /| \ 3 / \ 3 / 32 \\ 2 2 / \/ 3375 225 / | \\ 2 2 / \/ 3375 225 / \ 3 / \ 3 /| \ 3 / \ 3 / 32 / 49463 I*\/ 1691367 1414
-- + ----------------------------------------------------- + I*|----------------------------------------------------- - ---------------------------------- - ----------------------------------| - ---------------------------------- + ---------------------------------- + -- + ----------------------------------------------------- + I*|----------------------------------------------------- - ---------------------------------- + ----------------------------------| - ---------------------------------- - ---------------------------------- + -- + 3 / ----- + ------------- + --------------------------------
15 225 \ 225 30 30 / 30 30 15 225 \ 225 30 30 / 30 30 15 \/ 3375 225 _______________________
/ _________
/ 49463 I*\/ 1691367
225*3 / ----- + -------------
\/ 3375 225
$$\left(\frac{32}{15} + \frac{1414}{225 \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}} + \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}\right) + \left(\left(- \frac{\sqrt{1414} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} + \frac{1414 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}}\right)}}{225} + \frac{\sqrt{4242} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} + \frac{32}{15} + i \left(- \frac{\sqrt{4242} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} - \frac{\sqrt{1414} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} + \frac{1414 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}}\right)}}{225}\right)\right) + \left(\frac{1414 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}}\right)}}{225} - \frac{\sqrt{1414} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} - \frac{\sqrt{4242} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} + \frac{32}{15} + i \left(\frac{1414 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}}\right)}}{225} - \frac{\sqrt{1414} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} + \frac{\sqrt{4242} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30}\right)\right)\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
1414*re|--------------------------------------------| 1414*re|--------------------------------------------| |1414*im|--------------------------------------------| / / _________\\ / / _________\\| |1414*im|--------------------------------------------| / / _________\\ / / _________\\| / / _________\\
| _______________________| | _______________________| | | _______________________| | |15*\/ 1691367 || | |15*\/ 1691367 ||| | | _______________________| | |15*\/ 1691367 || | |15*\/ 1691367 ||| | |15*\/ 1691367 ||
|/ ___\ / _________ | |/ ___\ / _________ | | |/ ___\ / _________ | |atan|--------------|| |atan|--------------||| | |/ ___\ / _________ | |atan|--------------|| |atan|--------------||| |atan|--------------||
_______________________ || 1 I*\/ 3 | / 49463 I*\/ 1691367 | || 1 I*\/ 3 | / 49463 I*\/ 1691367 | | || 1 I*\/ 3 | / 49463 I*\/ 1691367 | ______ | \ 49463 /| ______ | \ 49463 /|| | || 1 I*\/ 3 | / 49463 I*\/ 1691367 | ______ | \ 49463 /| ______ | \ 49463 /|| ______ | \ 49463 /|
/ _________ ||- - + -------|*3 / ----- + ------------- | ||- - - -------|*3 / ----- + ------------- | | ||- - + -------|*3 / ----- + ------------- | \/ 1414 *sin|--------------------| \/ 4242 *cos|--------------------|| | ||- - - -------|*3 / ----- + ------------- | \/ 1414 *sin|--------------------| \/ 4242 *cos|--------------------|| \/ 1414 *cos|--------------------|
32 / 49463 I*\/ 1691367 1414 \\ 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
/ _________
/ 49463 I*\/ 1691367
225*3 / ----- + -------------
\/ 3375 225
$$- \frac{\sqrt{1414} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{15} + \frac{1414 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}}\right)}}{225} + \frac{1414 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}}\right)}}{225} + \frac{32}{5} + \frac{1414}{225 \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}} + i \left(\frac{1414 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}}\right)}}{225} - \frac{\sqrt{1414} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} + \frac{\sqrt{4242} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30}\right) + i \left(- \frac{\sqrt{4242} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} - \frac{\sqrt{1414} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} + \frac{1414 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}}\right)}}{225}\right) + \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}$$
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \
| 1414*re|--------------------------------------------| |1414*im|--------------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\| | 1414*re|--------------------------------------------| |1414*im|--------------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\|
| | _______________________| | | _______________________| | |15*\/ 1691367 || | |15*\/ 1691367 ||| | |15*\/ 1691367 || | |15*\/ 1691367 ||| | | _______________________| | | _______________________| | |15*\/ 1691367 || | |15*\/ 1691367 ||| | |15*\/ 1691367 || | |15*\/ 1691367 |||
| |/ ___\ / _________ | | |/ ___\ / _________ | |atan|--------------|| |atan|--------------||| |atan|--------------|| |atan|--------------||| | |/ ___\ / _________ | | |/ ___\ / _________ | |atan|--------------|| |atan|--------------||| |atan|--------------|| |atan|--------------|||
| || 1 I*\/ 3 | / 49463 I*\/ 1691367 | | || 1 I*\/ 3 | / 49463 I*\/ 1691367 | ______ | \ 49463 /| ______ | \ 49463 /|| ______ | \ 49463 /| ______ | \ 49463 /|| | || 1 I*\/ 3 | / 49463 I*\/ 1691367 | | || 1 I*\/ 3 | / 49463 I*\/ 1691367 | ______ | \ 49463 /| ______ | \ 49463 /|| ______ | \ 49463 /| ______ | \ 49463 /|| / _______________________ \
| ||- - - -------|*3 / ----- + ------------- | | ||- - - -------|*3 / ----- + ------------- | \/ 1414 *sin|--------------------| \/ 4242 *cos|--------------------|| \/ 1414 *cos|--------------------| \/ 4242 *sin|--------------------|| | ||- - + -------|*3 / ----- + ------------- | | ||- - + -------|*3 / ----- + ------------- | \/ 1414 *sin|--------------------| \/ 4242 *cos|--------------------|| \/ 1414 *cos|--------------------| \/ 4242 *sin|--------------------|| | / _________ |
|32 \\ 2 2 / \/ 3375 225 / | \\ 2 2 / \/ 3375 225 / \ 3 / \ 3 /| \ 3 / \ 3 /| |32 \\ 2 2 / \/ 3375 225 / | \\ 2 2 / \/ 3375 225 / \ 3 / \ 3 /| \ 3 / \ 3 /| |32 / 49463 I*\/ 1691367 1414 |
|-- + ----------------------------------------------------- + I*|----------------------------------------------------- - ---------------------------------- - ----------------------------------| - ---------------------------------- + ----------------------------------|*|-- + ----------------------------------------------------- + I*|----------------------------------------------------- - ---------------------------------- + ----------------------------------| - ---------------------------------- - ----------------------------------|*|-- + 3 / ----- + ------------- + --------------------------------|
\15 225 \ 225 30 30 / 30 30 / \15 225 \ 225 30 30 / 30 30 / |15 \/ 3375 225 _______________________|
| / _________ |
| / 49463 I*\/ 1691367 |
| 225*3 / ----- + ------------- |
\ \/ 3375 225 /
$$\left(- \frac{\sqrt{1414} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} + \frac{1414 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}}\right)}}{225} + \frac{\sqrt{4242} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} + \frac{32}{15} + i \left(- \frac{\sqrt{4242} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} - \frac{\sqrt{1414} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} + \frac{1414 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}}\right)}}{225}\right)\right) \left(\frac{1414 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}}\right)}}{225} - \frac{\sqrt{1414} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} - \frac{\sqrt{4242} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} + \frac{32}{15} + i \left(\frac{1414 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}}\right)}}{225} - \frac{\sqrt{1414} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30} + \frac{\sqrt{4242} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}}{30}\right)\right) \left(\frac{32}{15} + \frac{1414}{225 \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}} + \sqrt[3]{\frac{49463}{3375} + \frac{\sqrt{1691367} i}{225}}\right)$$
=
/ / / _________\\ / / _________\\\
| | |15*\/ 1691367 || | |15*\/ 1691367 |||
/ __________________________ / __________________________\\ | |2*atan|--------------|| |atan|--------------|||
| 3 / _________ | 3 / _________ || | | \ 49463 /| ______ | \ 49463 /||
\1414 + \/ 49463 + 15*I*\/ 1691367 *\32 + \/ 49463 + 15*I*\/ 1691367 //*|-390 + 2828*cos|----------------------| - 64*\/ 1414 *cos|--------------------||
\ \ 3 / \ 3 //
-------------------------------------------------------------------------------------------------------------------------------------------------------------
__________________________
3 / _________
3375*\/ 49463 + 15*I*\/ 1691367
$$\frac{\left(1414 + \left(32 + \sqrt[3]{49463 + 15 \sqrt{1691367} i}\right) \sqrt[3]{49463 + 15 \sqrt{1691367} i}\right) \left(- 64 \sqrt{1414} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)} - 390 + 2828 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{15 \sqrt{1691367}}{49463} \right)}}{3} \right)}\right)}{3375 \sqrt[3]{49463 + 15 \sqrt{1691367} i}}$$
(1414 + (49463 + 15*i*sqrt(1691367))^(1/3)*(32 + (49463 + 15*i*sqrt(1691367))^(1/3)))*(-390 + 2828*cos(2*atan(15*sqrt(1691367)/49463)/3) - 64*sqrt(1414)*cos(atan(15*sqrt(1691367)/49463)/3))/(3375*(49463 + 15*i*sqrt(1691367))^(1/3))
Respuesta numérica
[src]
x1 = 0.188378945940341
x2 = -0.896213667868784
x3 = 7.10783472192844
x3 = 7.10783472192844