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Ecuación x^3-x^2-x-1=0
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Ecuación 3x-2(3x+4)=10
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Ecuación 12-4(x-3)=39-9x
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Ecuación 0,2x+2,7=1,4-1,1x
- Expresar {x} en función de y en la ecuación:
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- 2*x-15*y=-1
- -18*x-6*y=-1
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Expresiones idénticas
- dos *x/x+ dos -x- uno /x- tres = diez /(tres -x)*(x+ dos)
- 2 multiplicar por x dividir por x más 2 menos x menos 1 dividir por x menos 3 es igual a 10 dividir por (3 menos x) multiplicar por (x más 2)
- dos multiplicar por x dividir por x más dos menos x menos uno dividir por x menos tres es igual a diez dividir por (tres menos x) multiplicar por (x más dos)
- 2x/x+2-x-1/x-3=10/(3-x)(x+2)
- 2x/x+2-x-1/x-3=10/3-xx+2
- 2*x dividir por x+2-x-1 dividir por x-3=10 dividir por (3-x)*(x+2)
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Expresiones semejantes
- 2*x/x+2+x-1/x-3=10/(3-x)*(x+2)
- 2*x/x+2-x-1/x+3=10/(3-x)*(x+2)
- (2x)/(x+2)-(x-1)/(x-3)=(10)/((3-x)*(x+2))
- 2*x/x-2-x-1/x-3=10/(3-x)*(x+2)
- 2*x/x+2-x+1/x-3=10/(3-x)*(x+2)
- 2*x/x+2-x-1/x-3=10/(3-x)*(x-2)
- (2x)/(x+2)-(x-1)/(x-3)=(10)/(3-x)×(x+2)
- 2*x/x+2-x-1/x-3=10/(3+x)*(x+2)
- 2*x/(x+2)-(x-1)/(x-3)=10*(x+2)/(3-x)
2*x/x+2-x-1/x-3=10/(3-x)*(x+2) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2*x 1 10 --- + 2 - x - - - 3 = -----*(x + 2) x x 3 - x
$$\left(\left(- x + \left(2 + \frac{2 x}{x}\right)\right) - \frac{1}{x}\right) - 3 = \frac{10}{3 - x} \left(x + 2\right)$$
Respuesta rápida
[src]
/ 1 \ / / 1 \ \
244*re|-----------------------------------------| |244*im|-----------------------------------------| / / _______\\ / / _______\\| / / _______\\ / / _______\\
| ____________________| | | ____________________| | |3*\/ 63879 || | |3*\/ 63879 ||| | |3*\/ 63879 || | |3*\/ 63879 ||
|/ ___\ / _______ | | |/ ___\ / _______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |atan|-----------||
|| 1 I*\/ 3 | / 7585 I*\/ 63879 | | || 1 I*\/ 3 | / 7585 I*\/ 63879 | ____ | \ 7585 /| _____ | \ 7585 /|| ____ | \ 7585 /| _____ | \ 7585 /|
||- - - -------|*3 / ---- + ----------- | | ||- - - -------|*3 / ---- + ----------- | \/ 61 *sin|-----------------| \/ 183 *cos|-----------------|| \/ 61 *cos|-----------------| \/ 183 *sin|-----------------|
14 \\ 2 2 / \/ 54 18 / | \\ 2 2 / \/ 54 18 / \ 3 / \ 3 /| \ 3 / \ 3 /
x1 = -- + ------------------------------------------------- + I*|------------------------------------------------- - ----------------------------- - ------------------------------| - ----------------------------- + ------------------------------
3 9 \ 9 3 3 / 3 3
$$x_{1} = - \frac{\sqrt{61} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{244 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} + \frac{\sqrt{183} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{14}{3} + i \left(- \frac{\sqrt{183} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} - \frac{\sqrt{61} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{244 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9}\right)$$
/ 1 \ / / 1 \ \
244*re|-----------------------------------------| |244*im|-----------------------------------------| / / _______\\ / / _______\\| / / _______\\ / / _______\\
| ____________________| | | ____________________| | |3*\/ 63879 || | |3*\/ 63879 ||| | |3*\/ 63879 || | |3*\/ 63879 ||
|/ ___\ / _______ | | |/ ___\ / _______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |atan|-----------||
|| 1 I*\/ 3 | / 7585 I*\/ 63879 | | || 1 I*\/ 3 | / 7585 I*\/ 63879 | ____ | \ 7585 /| _____ | \ 7585 /|| ____ | \ 7585 /| _____ | \ 7585 /|
||- - + -------|*3 / ---- + ----------- | | ||- - + -------|*3 / ---- + ----------- | \/ 61 *sin|-----------------| \/ 183 *cos|-----------------|| \/ 61 *cos|-----------------| \/ 183 *sin|-----------------|
14 \\ 2 2 / \/ 54 18 / | \\ 2 2 / \/ 54 18 / \ 3 / \ 3 /| \ 3 / \ 3 /
x2 = -- + ------------------------------------------------- + I*|------------------------------------------------- - ----------------------------- + ------------------------------| - ----------------------------- - ------------------------------
3 9 \ 9 3 3 / 3 3
$$x_{2} = \frac{244 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} - \frac{\sqrt{61} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} - \frac{\sqrt{183} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{14}{3} + i \left(\frac{244 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} - \frac{\sqrt{61} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{\sqrt{183} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3}\right)$$
____________________
/ _______
14 / 7585 I*\/ 63879 244
x3 = -- + 3 / ---- + ----------- + ---------------------------
3 \/ 54 18 ____________________
/ _______
/ 7585 I*\/ 63879
9*3 / ---- + -----------
\/ 54 18
$$x_{3} = \frac{14}{3} + \frac{244}{9 \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}} + \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}$$
x3 = 14/3 + 244/(9*(7585/54 + sqrt(63879)*i/18)^(1/3)) + (7585/54 + sqrt(63879)*i/18)^(1/3)
Suma y producto de raíces
[src]
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
244*re|-----------------------------------------| |244*im|-----------------------------------------| / / _______\\ / / _______\\| / / _______\\ / / _______\\ 244*re|-----------------------------------------| |244*im|-----------------------------------------| / / _______\\ / / _______\\| / / _______\\ / / _______\\
| ____________________| | | ____________________| | |3*\/ 63879 || | |3*\/ 63879 ||| | |3*\/ 63879 || | |3*\/ 63879 || | ____________________| | | ____________________| | |3*\/ 63879 || | |3*\/ 63879 ||| | |3*\/ 63879 || | |3*\/ 63879 ||
|/ ___\ / _______ | | |/ ___\ / _______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |atan|-----------|| |/ ___\ / _______ | | |/ ___\ / _______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |atan|-----------||
|| 1 I*\/ 3 | / 7585 I*\/ 63879 | | || 1 I*\/ 3 | / 7585 I*\/ 63879 | ____ | \ 7585 /| _____ | \ 7585 /|| ____ | \ 7585 /| _____ | \ 7585 /| || 1 I*\/ 3 | / 7585 I*\/ 63879 | | || 1 I*\/ 3 | / 7585 I*\/ 63879 | ____ | \ 7585 /| _____ | \ 7585 /|| ____ | \ 7585 /| _____ | \ 7585 /| ____________________
||- - - -------|*3 / ---- + ----------- | | ||- - - -------|*3 / ---- + ----------- | \/ 61 *sin|-----------------| \/ 183 *cos|-----------------|| \/ 61 *cos|-----------------| \/ 183 *sin|-----------------| ||- - + -------|*3 / ---- + ----------- | | ||- - + -------|*3 / ---- + ----------- | \/ 61 *sin|-----------------| \/ 183 *cos|-----------------|| \/ 61 *cos|-----------------| \/ 183 *sin|-----------------| / _______
14 \\ 2 2 / \/ 54 18 / | \\ 2 2 / \/ 54 18 / \ 3 / \ 3 /| \ 3 / \ 3 / 14 \\ 2 2 / \/ 54 18 / | \\ 2 2 / \/ 54 18 / \ 3 / \ 3 /| \ 3 / \ 3 / 14 / 7585 I*\/ 63879 244
-- + ------------------------------------------------- + I*|------------------------------------------------- - ----------------------------- - ------------------------------| - ----------------------------- + ------------------------------ + -- + ------------------------------------------------- + I*|------------------------------------------------- - ----------------------------- + ------------------------------| - ----------------------------- - ------------------------------ + -- + 3 / ---- + ----------- + ---------------------------
3 9 \ 9 3 3 / 3 3 3 9 \ 9 3 3 / 3 3 3 \/ 54 18 ____________________
/ _______
/ 7585 I*\/ 63879
9*3 / ---- + -----------
\/ 54 18
$$\left(\frac{14}{3} + \frac{244}{9 \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}} + \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}\right) + \left(\left(- \frac{\sqrt{61} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{244 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} + \frac{\sqrt{183} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{14}{3} + i \left(- \frac{\sqrt{183} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} - \frac{\sqrt{61} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{244 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9}\right)\right) + \left(\frac{244 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} - \frac{\sqrt{61} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} - \frac{\sqrt{183} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{14}{3} + i \left(\frac{244 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} - \frac{\sqrt{61} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{\sqrt{183} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3}\right)\right)\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
244*re|-----------------------------------------| 244*re|-----------------------------------------| |244*im|-----------------------------------------| / / _______\\ / / _______\\| |244*im|-----------------------------------------| / / _______\\ / / _______\\| / / _______\\
| ____________________| | ____________________| | | ____________________| | |3*\/ 63879 || | |3*\/ 63879 ||| | | ____________________| | |3*\/ 63879 || | |3*\/ 63879 ||| | |3*\/ 63879 ||
|/ ___\ / _______ | |/ ___\ / _______ | | |/ ___\ / _______ | |atan|-----------|| |atan|-----------||| | |/ ___\ / _______ | |atan|-----------|| |atan|-----------||| |atan|-----------||
____________________ || 1 I*\/ 3 | / 7585 I*\/ 63879 | || 1 I*\/ 3 | / 7585 I*\/ 63879 | | || 1 I*\/ 3 | / 7585 I*\/ 63879 | ____ | \ 7585 /| _____ | \ 7585 /|| | || 1 I*\/ 3 | / 7585 I*\/ 63879 | ____ | \ 7585 /| _____ | \ 7585 /|| ____ | \ 7585 /|
/ _______ ||- - + -------|*3 / ---- + ----------- | ||- - - -------|*3 / ---- + ----------- | | ||- - + -------|*3 / ---- + ----------- | \/ 61 *sin|-----------------| \/ 183 *cos|-----------------|| | ||- - - -------|*3 / ---- + ----------- | \/ 61 *sin|-----------------| \/ 183 *cos|-----------------|| 2*\/ 61 *cos|-----------------|
/ 7585 I*\/ 63879 244 \\ 2 2 / \/ 54 18 / \\ 2 2 / \/ 54 18 / | \\ 2 2 / \/ 54 18 / \ 3 / \ 3 /| | \\ 2 2 / \/ 54 18 / \ 3 / \ 3 /| \ 3 /
14 + 3 / ---- + ----------- + --------------------------- + ------------------------------------------------- + ------------------------------------------------- + I*|------------------------------------------------- - ----------------------------- + ------------------------------| + I*|------------------------------------------------- - ----------------------------- - ------------------------------| - -------------------------------
\/ 54 18 ____________________ 9 9 \ 9 3 3 / \ 9 3 3 / 3
/ _______
/ 7585 I*\/ 63879
9*3 / ---- + -----------
\/ 54 18
$$- \frac{2 \sqrt{61} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{244 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} + \frac{244 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} + 14 + \frac{244}{9 \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}} + i \left(- \frac{\sqrt{183} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} - \frac{\sqrt{61} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{244 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9}\right) + i \left(\frac{244 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} - \frac{\sqrt{61} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{\sqrt{183} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3}\right) + \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}$$
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \
| 244*re|-----------------------------------------| |244*im|-----------------------------------------| / / _______\\ / / _______\\| / / _______\\ / / _______\\| | 244*re|-----------------------------------------| |244*im|-----------------------------------------| / / _______\\ / / _______\\| / / _______\\ / / _______\\|
| | ____________________| | | ____________________| | |3*\/ 63879 || | |3*\/ 63879 ||| | |3*\/ 63879 || | |3*\/ 63879 ||| | | ____________________| | | ____________________| | |3*\/ 63879 || | |3*\/ 63879 ||| | |3*\/ 63879 || | |3*\/ 63879 |||
| |/ ___\ / _______ | | |/ ___\ / _______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |atan|-----------||| | |/ ___\ / _______ | | |/ ___\ / _______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |atan|-----------|||
| || 1 I*\/ 3 | / 7585 I*\/ 63879 | | || 1 I*\/ 3 | / 7585 I*\/ 63879 | ____ | \ 7585 /| _____ | \ 7585 /|| ____ | \ 7585 /| _____ | \ 7585 /|| | || 1 I*\/ 3 | / 7585 I*\/ 63879 | | || 1 I*\/ 3 | / 7585 I*\/ 63879 | ____ | \ 7585 /| _____ | \ 7585 /|| ____ | \ 7585 /| _____ | \ 7585 /|| / ____________________ \
| ||- - - -------|*3 / ---- + ----------- | | ||- - - -------|*3 / ---- + ----------- | \/ 61 *sin|-----------------| \/ 183 *cos|-----------------|| \/ 61 *cos|-----------------| \/ 183 *sin|-----------------|| | ||- - + -------|*3 / ---- + ----------- | | ||- - + -------|*3 / ---- + ----------- | \/ 61 *sin|-----------------| \/ 183 *cos|-----------------|| \/ 61 *cos|-----------------| \/ 183 *sin|-----------------|| | / _______ |
|14 \\ 2 2 / \/ 54 18 / | \\ 2 2 / \/ 54 18 / \ 3 / \ 3 /| \ 3 / \ 3 /| |14 \\ 2 2 / \/ 54 18 / | \\ 2 2 / \/ 54 18 / \ 3 / \ 3 /| \ 3 / \ 3 /| |14 / 7585 I*\/ 63879 244 |
|-- + ------------------------------------------------- + I*|------------------------------------------------- - ----------------------------- - ------------------------------| - ----------------------------- + ------------------------------|*|-- + ------------------------------------------------- + I*|------------------------------------------------- - ----------------------------- + ------------------------------| - ----------------------------- - ------------------------------|*|-- + 3 / ---- + ----------- + ---------------------------|
\3 9 \ 9 3 3 / 3 3 / \3 9 \ 9 3 3 / 3 3 / |3 \/ 54 18 ____________________|
| / _______ |
| / 7585 I*\/ 63879 |
| 9*3 / ---- + ----------- |
\ \/ 54 18 /
$$\left(- \frac{\sqrt{61} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{244 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} + \frac{\sqrt{183} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{14}{3} + i \left(- \frac{\sqrt{183} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} - \frac{\sqrt{61} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{244 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9}\right)\right) \left(\frac{244 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} - \frac{\sqrt{61} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} - \frac{\sqrt{183} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{14}{3} + i \left(\frac{244 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} - \frac{\sqrt{61} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{\sqrt{183} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3}\right)\right) \left(\frac{14}{3} + \frac{244}{9 \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}} + \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}\right)$$
=
/ / / _______\\ / / _______\\\
| | |3*\/ 63879 || | |3*\/ 63879 |||
/ ______________________ / ______________________\\ | |2*atan|-----------|| |atan|-----------|||
| 3 ___ 3 / _______ | 2/3 3 / _______ || | | \ 7585 /| ____ | \ 7585 /||
2*\488*\/ 2 + \/ 7585 + 3*I*\/ 63879 *\28 + 2 *\/ 7585 + 3*I*\/ 63879 //*|-12 + 122*cos|-------------------| - 14*\/ 61 *cos|-----------------||
\ \ 3 / \ 3 //
-------------------------------------------------------------------------------------------------------------------------------------------------------
______________________
3 / _______
27*\/ 7585 + 3*I*\/ 63879
$$\frac{2 \left(488 \sqrt[3]{2} + \left(28 + 2^{\frac{2}{3}} \sqrt[3]{7585 + 3 \sqrt{63879} i}\right) \sqrt[3]{7585 + 3 \sqrt{63879} i}\right) \left(- 14 \sqrt{61} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)} - 12 + 122 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}\right)}{27 \sqrt[3]{7585 + 3 \sqrt{63879} i}}$$
2*(488*2^(1/3) + (7585 + 3*i*sqrt(63879))^(1/3)*(28 + 2^(2/3)*(7585 + 3*i*sqrt(63879))^(1/3)))*(-12 + 122*cos(2*atan(3*sqrt(63879)/7585)/3) - 14*sqrt(61)*cos(atan(3*sqrt(63879)/7585)/3))/(27*(7585 + 3*i*sqrt(63879))^(1/3))
Respuesta numérica
[src]
x1 = -0.237836098452284
x2 = -0.836754317301954
x3 = 15.0745904157542
x3 = 15.0745904157542