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Ecuación x^(5/3)=32
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Ecuación (8/2)^(x+8)=6^x
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Ecuación 2+x=6
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Ecuación 2x^2+13-13x=x+1
- Expresar {x} en función de y en la ecuación:
- -15*x-5*y=12
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- -7*x+5*y=-14
- -16*x-14*y=-18
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Expresiones idénticas
- 6 dos 5x^ cuatro + tres 6 cero 0x^3+7580x^2+6916x+ dos mil trescientos doce =0
- 625x en el grado 4 más 3600x al cubo más 7580x al cuadrado más 6916x más 2312 es igual a 0
- 6 dos 5x en el grado cuatro más tres 6 cero 0x al cubo más 7580x al cuadrado más 6916x más dos mil trescientos doce es igual a 0
- 625x4+3600x3+7580x2+6916x+2312=0
- 625x⁴+3600x³+7580x²+6916x+2312=0
- 625x en el grado 4+3600x en el grado 3+7580x en el grado 2+6916x+2312=0
- 625x^4+3600x^3+7580x^2+6916x+2312=O
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Expresiones semejantes
- 625x^4+3600x^3-7580x^2+6916x+2312=0
- 625x^4+3600x^3+7580x^2+6916x-2312=0
- 625x^4-3600x^3+7580x^2+6916x+2312=0
- 625x^4+3600x^3+7580x^2-6916x+2312=0
625x^4+3600x^3+7580x^2+6916x+2312=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
4 3 2 625*x + 3600*x + 7580*x + 6916*x + 2312 = 0
$$\left(6916 x + \left(7580 x^{2} + \left(625 x^{4} + 3600 x^{3}\right)\right)\right) + 2312 = 0$$
Respuesta rápida
[src]
x1 = -2
$$x_{1} = -2$$
/ 1 \ / / 1 \ \
196*re|-------------------------------------------| / / ______\\ | 196*im|-------------------------------------------| / / ______\\ / / ______\\| / / ______\\
| ______________________| | |15*\/ 1455 || | | ______________________| | |15*\/ 1455 || | |15*\/ 1455 ||| | |15*\/ 1455 ||
|/ ___\ / ______ | |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------||
|| 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| ___ | \ 1247 /|| ___ | \ 1247 /|
||- - - -------|*3 / ----- + ------------ | 7*cos|-----------------| | ||- - - -------|*3 / ----- + ------------ | 7*sin|-----------------| 7*\/ 3 *cos|-----------------|| 7*\/ 3 *sin|-----------------|
94 \\ 2 2 / \/ 15625 3125 / \ 3 / | \\ 2 2 / \/ 15625 3125 / \ 3 / \ 3 /| \ 3 /
x2 = - -- - --------------------------------------------------- + ------------------------ + I*|- --------------------------------------------------- + ------------------------ + ------------------------------| - ------------------------------
75 1875 75 \ 1875 75 75 / 75
$$x_{2} = - \frac{94}{75} - \frac{7 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{196 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + \frac{7 \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + i \left(- \frac{196 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + \frac{7 \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75}\right)$$
/ 1 \ / / 1 \ \
196*re|-------------------------------------------| / / ______\\ | 196*im|-------------------------------------------| / / ______\\ / / ______\\| / / ______\\
| ______________________| | |15*\/ 1455 || | | ______________________| | |15*\/ 1455 || | |15*\/ 1455 ||| | |15*\/ 1455 ||
|/ ___\ / ______ | |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------||
|| 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| ___ | \ 1247 /|| ___ | \ 1247 /|
||- - + -------|*3 / ----- + ------------ | 7*cos|-----------------| | ||- - + -------|*3 / ----- + ------------ | 7*sin|-----------------| 7*\/ 3 *cos|-----------------|| 7*\/ 3 *sin|-----------------|
94 \\ 2 2 / \/ 15625 3125 / \ 3 / | \\ 2 2 / \/ 15625 3125 / \ 3 / \ 3 /| \ 3 /
x3 = - -- - --------------------------------------------------- + ------------------------ + I*|- --------------------------------------------------- + ------------------------ - ------------------------------| + ------------------------------
75 1875 75 \ 1875 75 75 / 75
$$x_{3} = - \frac{94}{75} + \frac{7 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{196 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + i \left(- \frac{7 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{196 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875}\right)$$
______________________
/ ______
/ 2494 6*I*\/ 1455
3 / ----- + ------------
94 196 \/ 15625 3125
x4 = - -- - -------------------------------- - ---------------------------
75 ______________________ 3
/ ______
/ 2494 6*I*\/ 1455
1875*3 / ----- + ------------
\/ 15625 3125
$$x_{4} = - \frac{94}{75} - \frac{\sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}{3} - \frac{196}{1875 \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}$$
x4 = -94/75 - (2494/15625 + 6*sqrt(1455)*i/3125)^(1/3)/3 - 196/(1875*(2494/15625 + 6*sqrt(1455)*i/3125)^(1/3))
Suma y producto de raíces
[src]
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
196*re|-------------------------------------------| / / ______\\ | 196*im|-------------------------------------------| / / ______\\ / / ______\\| / / ______\\ 196*re|-------------------------------------------| / / ______\\ | 196*im|-------------------------------------------| / / ______\\ / / ______\\| / / ______\\
| ______________________| | |15*\/ 1455 || | | ______________________| | |15*\/ 1455 || | |15*\/ 1455 ||| | |15*\/ 1455 || | ______________________| | |15*\/ 1455 || | | ______________________| | |15*\/ 1455 || | |15*\/ 1455 ||| | |15*\/ 1455 || ______________________
|/ ___\ / ______ | |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |/ ___\ / ______ | |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| / ______
|| 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| ___ | \ 1247 /|| ___ | \ 1247 /| || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| ___ | \ 1247 /|| ___ | \ 1247 /| / 2494 6*I*\/ 1455
||- - - -------|*3 / ----- + ------------ | 7*cos|-----------------| | ||- - - -------|*3 / ----- + ------------ | 7*sin|-----------------| 7*\/ 3 *cos|-----------------|| 7*\/ 3 *sin|-----------------| ||- - + -------|*3 / ----- + ------------ | 7*cos|-----------------| | ||- - + -------|*3 / ----- + ------------ | 7*sin|-----------------| 7*\/ 3 *cos|-----------------|| 7*\/ 3 *sin|-----------------| 3 / ----- + ------------
94 \\ 2 2 / \/ 15625 3125 / \ 3 / | \\ 2 2 / \/ 15625 3125 / \ 3 / \ 3 /| \ 3 / 94 \\ 2 2 / \/ 15625 3125 / \ 3 / | \\ 2 2 / \/ 15625 3125 / \ 3 / \ 3 /| \ 3 / 94 196 \/ 15625 3125
-2 + - -- - --------------------------------------------------- + ------------------------ + I*|- --------------------------------------------------- + ------------------------ + ------------------------------| - ------------------------------ + - -- - --------------------------------------------------- + ------------------------ + I*|- --------------------------------------------------- + ------------------------ - ------------------------------| + ------------------------------ + - -- - -------------------------------- - ---------------------------
75 1875 75 \ 1875 75 75 / 75 75 1875 75 \ 1875 75 75 / 75 75 ______________________ 3
/ ______
/ 2494 6*I*\/ 1455
1875*3 / ----- + ------------
\/ 15625 3125
$$\left(\left(- \frac{94}{75} + \frac{7 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{196 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + i \left(- \frac{7 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{196 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875}\right)\right) + \left(-2 + \left(- \frac{94}{75} - \frac{7 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{196 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + \frac{7 \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + i \left(- \frac{196 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + \frac{7 \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75}\right)\right)\right)\right) + \left(- \frac{94}{75} - \frac{\sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}{3} - \frac{196}{1875 \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
196*re|-------------------------------------------| 196*re|-------------------------------------------| / / ______\\ | 196*im|-------------------------------------------| / / ______\\ / / ______\\| | 196*im|-------------------------------------------| / / ______\\ / / ______\\|
| ______________________| | ______________________| ______________________ | |15*\/ 1455 || | | ______________________| | |15*\/ 1455 || | |15*\/ 1455 ||| | | ______________________| | |15*\/ 1455 || | |15*\/ 1455 |||
|/ ___\ / ______ | |/ ___\ / ______ | / ______ |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------|||
|| 1 I*\/ 3 | / 2494 6*I*\/ 1455 | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | / 2494 6*I*\/ 1455 | \ 1247 /| | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| ___ | \ 1247 /|| | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| ___ | \ 1247 /||
||- - + -------|*3 / ----- + ------------ | ||- - - -------|*3 / ----- + ------------ | 3 / ----- + ------------ 14*cos|-----------------| | ||- - + -------|*3 / ----- + ------------ | 7*sin|-----------------| 7*\/ 3 *cos|-----------------|| | ||- - - -------|*3 / ----- + ------------ | 7*sin|-----------------| 7*\/ 3 *cos|-----------------||
144 196 \\ 2 2 / \/ 15625 3125 / \\ 2 2 / \/ 15625 3125 / \/ 15625 3125 \ 3 / | \\ 2 2 / \/ 15625 3125 / \ 3 / \ 3 /| | \\ 2 2 / \/ 15625 3125 / \ 3 / \ 3 /|
- --- - -------------------------------- - --------------------------------------------------- - --------------------------------------------------- - --------------------------- + ------------------------- + I*|- --------------------------------------------------- + ------------------------ - ------------------------------| + I*|- --------------------------------------------------- + ------------------------ + ------------------------------|
25 ______________________ 1875 1875 3 75 \ 1875 75 75 / \ 1875 75 75 /
/ ______
/ 2494 6*I*\/ 1455
1875*3 / ----- + ------------
\/ 15625 3125
$$- \frac{144}{25} - \frac{196 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} - \frac{196 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + \frac{14 \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{\sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}{3} + i \left(- \frac{7 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{196 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875}\right) + i \left(- \frac{196 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + \frac{7 \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75}\right) - \frac{196}{1875 \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}$$
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \
| 196*re|-------------------------------------------| / / ______\\ | 196*im|-------------------------------------------| / / ______\\ / / ______\\| / / ______\\| | 196*re|-------------------------------------------| / / ______\\ | 196*im|-------------------------------------------| / / ______\\ / / ______\\| / / ______\\|
| | ______________________| | |15*\/ 1455 || | | ______________________| | |15*\/ 1455 || | |15*\/ 1455 ||| | |15*\/ 1455 ||| | | ______________________| | |15*\/ 1455 || | | ______________________| | |15*\/ 1455 || | |15*\/ 1455 ||| | |15*\/ 1455 ||| / ______________________\
| |/ ___\ / ______ | |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------||| | |/ ___\ / ______ | |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------||| | / ______ |
| || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| ___ | \ 1247 /|| ___ | \ 1247 /|| | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| ___ | \ 1247 /|| ___ | \ 1247 /|| | / 2494 6*I*\/ 1455 |
| ||- - - -------|*3 / ----- + ------------ | 7*cos|-----------------| | ||- - - -------|*3 / ----- + ------------ | 7*sin|-----------------| 7*\/ 3 *cos|-----------------|| 7*\/ 3 *sin|-----------------|| | ||- - + -------|*3 / ----- + ------------ | 7*cos|-----------------| | ||- - + -------|*3 / ----- + ------------ | 7*sin|-----------------| 7*\/ 3 *cos|-----------------|| 7*\/ 3 *sin|-----------------|| | 3 / ----- + ------------ |
| 94 \\ 2 2 / \/ 15625 3125 / \ 3 / | \\ 2 2 / \/ 15625 3125 / \ 3 / \ 3 /| \ 3 /| | 94 \\ 2 2 / \/ 15625 3125 / \ 3 / | \\ 2 2 / \/ 15625 3125 / \ 3 / \ 3 /| \ 3 /| | 94 196 \/ 15625 3125 |
-2*|- -- - --------------------------------------------------- + ------------------------ + I*|- --------------------------------------------------- + ------------------------ + ------------------------------| - ------------------------------|*|- -- - --------------------------------------------------- + ------------------------ + I*|- --------------------------------------------------- + ------------------------ - ------------------------------| + ------------------------------|*|- -- - -------------------------------- - ---------------------------|
\ 75 1875 75 \ 1875 75 75 / 75 / \ 75 1875 75 \ 1875 75 75 / 75 / | 75 ______________________ 3 |
| / ______ |
| / 2494 6*I*\/ 1455 |
| 1875*3 / ----- + ------------ |
\ \/ 15625 3125 /
$$- 2 \left(- \frac{94}{75} - \frac{7 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{196 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + \frac{7 \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + i \left(- \frac{196 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + \frac{7 \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75}\right)\right) \left(- \frac{94}{75} + \frac{7 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{196 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + i \left(- \frac{7 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{196 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875}\right)\right) \left(- \frac{94}{75} - \frac{\sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}{3} - \frac{196}{1875 \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)$$
=
/ / / ______\\ / / ______\\\
| | |15*\/ 1455 || | |15*\/ 1455 |||
/ ______________________ / ______________________\\ | |atan|-----------|| |2*atan|-----------|||
2/3 | 3 / ______ | 3 / ______ || | | \ 1247 /| | \ 1247 /||
2 *\196 + \/ 2494 + 30*I*\/ 1455 *\94 + \/ 2494 + 30*I*\/ 1455 //*|8640 - 2632*cos|-----------------| + 392*cos|-------------------||
\ \ 3 / \ 3 //
-------------------------------------------------------------------------------------------------------------------------------------------
______________________
3 / ______
421875*\/ 1247 + 15*I*\/ 1455
$$\frac{2^{\frac{2}{3}} \left(196 + \left(94 + \sqrt[3]{2494 + 30 \sqrt{1455} i}\right) \sqrt[3]{2494 + 30 \sqrt{1455} i}\right) \left(- 2632 \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)} + 392 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)} + 8640\right)}{421875 \sqrt[3]{1247 + 15 \sqrt{1455} i}}$$
2^(2/3)*(196 + (2494 + 30*i*sqrt(1455))^(1/3)*(94 + (2494 + 30*i*sqrt(1455))^(1/3)))*(8640 - 2632*cos(atan(15*sqrt(1455)/1247)/3) + 392*cos(2*atan(15*sqrt(1455)/1247)/3))/(421875*(1247 + 15*i*sqrt(1455))^(1/3))
Respuesta numérica
[src]
x1 = -1.02238013695128
x2 = -1.11478473760844
x3 = -2.0
x4 = -1.62283512544027
x4 = -1.62283512544027