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Expresiones idénticas
- cuatrocientos uno , cincuenta y dos /x^ dos - setenta y tres .76x- quinientos sesenta y cuatro . cuarenta y seis = cero
- 401,52 dividir por x al cuadrado menos 73.76x menos 564.46 es igual a 0
- cuatrocientos uno , cincuenta y dos dividir por x en el grado dos menos setenta y tres .76x menos quinientos sesenta y cuatro . cuarenta y seis es igual a cero
- 401,52/x2-73.76x-564.46=0
- 401,52/x²-73.76x-564.46=0
- 401,52/x en el grado 2-73.76x-564.46=0
- 401,52/x^2-73.76x-564.46=O
- 401,52 dividir por x^2-73.76x-564.46=0
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Expresiones semejantes
- 401,52/x^2-73.76x+564.46=0
- 401,52/x^2+73.76x-564.46=0
401,52/x^2-73.76x-564.46=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
10038 1844*x 28223
----- - ------ - ----- = 0
2 25 50
25*x
$$\left(- \frac{1844 x}{25} + \frac{10038}{25 x^{2}}\right) - \frac{28223}{50} = 0$$
Respuesta rápida
[src]
/ 1 \ / / 1 \ \
796537729*re|-----------------------------------------------------------------| / / ___________________\\ | 796537729*im|-----------------------------------------------------------------| / / ___________________\\ / / ___________________\\| / / ___________________\\
| ____________________________________________| | |66384*\/ 34526579987666935 || | | ____________________________________________| | |66384*\/ 34526579987666935 || | |66384*\/ 34526579987666935 ||| | |66384*\/ 34526579987666935 ||
|/ ___\ / ___________________ | |atan|---------------------------|| | |/ ___\ / ___________________ | |atan|---------------------------|| |atan|---------------------------||| |atan|---------------------------||
|| 1 I*\/ 3 | / 18794366466623 9*I*\/ 34526579987666935 | | \ 18794366466623 /| | || 1 I*\/ 3 | / 18794366466623 9*I*\/ 34526579987666935 | | \ 18794366466623 /| ___ | \ 18794366466623 /|| ___ | \ 18794366466623 /|
||- - - -------|*3 / -------------- + ------------------------- | 28223*cos|---------------------------------| | ||- - - -------|*3 / -------------- + ------------------------- | 28223*sin|---------------------------------| 28223*\/ 3 *cos|---------------------------------|| 28223*\/ 3 *sin|---------------------------------|
28223 \\ 2 2 / \/ 50161756672 6800672 / \ 3 / | \\ 2 2 / \/ 50161756672 6800672 / \ 3 / \ 3 /| \ 3 /
x1 = - ----- - ------------------------------------------------------------------------------- + -------------------------------------------- + I*|- ------------------------------------------------------------------------------- + -------------------------------------------- + --------------------------------------------------| - --------------------------------------------------
11064 40804032 22128 \ 40804032 22128 22128 / 22128
$$x_{1} = - \frac{28223}{11064} - \frac{28223 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} - \frac{796537729 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}\right)}}{40804032} + \frac{28223 \cos{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} + i \left(- \frac{796537729 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}\right)}}{40804032} + \frac{28223 \sin{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} + \frac{28223 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128}\right)$$
/ 1 \ / / 1 \ \
796537729*re|-----------------------------------------------------------------| / / ___________________\\ | 796537729*im|-----------------------------------------------------------------| / / ___________________\\ / / ___________________\\| / / ___________________\\
| ____________________________________________| | |66384*\/ 34526579987666935 || | | ____________________________________________| | |66384*\/ 34526579987666935 || | |66384*\/ 34526579987666935 ||| | |66384*\/ 34526579987666935 ||
|/ ___\ / ___________________ | |atan|---------------------------|| | |/ ___\ / ___________________ | |atan|---------------------------|| |atan|---------------------------||| |atan|---------------------------||
|| 1 I*\/ 3 | / 18794366466623 9*I*\/ 34526579987666935 | | \ 18794366466623 /| | || 1 I*\/ 3 | / 18794366466623 9*I*\/ 34526579987666935 | | \ 18794366466623 /| ___ | \ 18794366466623 /|| ___ | \ 18794366466623 /|
||- - + -------|*3 / -------------- + ------------------------- | 28223*cos|---------------------------------| | ||- - + -------|*3 / -------------- + ------------------------- | 28223*sin|---------------------------------| 28223*\/ 3 *cos|---------------------------------|| 28223*\/ 3 *sin|---------------------------------|
28223 \\ 2 2 / \/ 50161756672 6800672 / \ 3 / | \\ 2 2 / \/ 50161756672 6800672 / \ 3 / \ 3 /| \ 3 /
x2 = - ----- - ------------------------------------------------------------------------------- + -------------------------------------------- + I*|- ------------------------------------------------------------------------------- + -------------------------------------------- - --------------------------------------------------| + --------------------------------------------------
11064 40804032 22128 \ 40804032 22128 22128 / 22128
$$x_{2} = - \frac{28223}{11064} + \frac{28223 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} + \frac{28223 \cos{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} - \frac{796537729 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}\right)}}{40804032} + i \left(- \frac{28223 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} + \frac{28223 \sin{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} - \frac{796537729 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}\right)}}{40804032}\right)$$
____________________________________________
/ ___________________
/ 18794366466623 9*I*\/ 34526579987666935
3 / -------------- + -------------------------
28223 796537729 \/ 50161756672 6800672
x3 = - ----- - ---------------------------------------------------------- - -------------------------------------------------
11064 ____________________________________________ 3
/ ___________________
/ 18794366466623 9*I*\/ 34526579987666935
40804032*3 / -------------- + -------------------------
\/ 50161756672 6800672
$$x_{3} = - \frac{28223}{11064} - \frac{\sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}{3} - \frac{796537729}{40804032 \sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}$$
x3 = -28223/11064 - (18794366466623/50161756672 + 9*sqrt(34526579987666935)*i/6800672)^(1/3)/3 - 796537729/(40804032*(18794366466623/50161756672 + 9*sqrt(34526579987666935)*i/6800672)^(1/3))
Suma y producto de raíces
[src]
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
796537729*re|-----------------------------------------------------------------| / / ___________________\\ | 796537729*im|-----------------------------------------------------------------| / / ___________________\\ / / ___________________\\| / / ___________________\\ 796537729*re|-----------------------------------------------------------------| / / ___________________\\ | 796537729*im|-----------------------------------------------------------------| / / ___________________\\ / / ___________________\\| / / ___________________\\
| ____________________________________________| | |66384*\/ 34526579987666935 || | | ____________________________________________| | |66384*\/ 34526579987666935 || | |66384*\/ 34526579987666935 ||| | |66384*\/ 34526579987666935 || | ____________________________________________| | |66384*\/ 34526579987666935 || | | ____________________________________________| | |66384*\/ 34526579987666935 || | |66384*\/ 34526579987666935 ||| | |66384*\/ 34526579987666935 || ____________________________________________
|/ ___\ / ___________________ | |atan|---------------------------|| | |/ ___\ / ___________________ | |atan|---------------------------|| |atan|---------------------------||| |atan|---------------------------|| |/ ___\ / ___________________ | |atan|---------------------------|| | |/ ___\ / ___________________ | |atan|---------------------------|| |atan|---------------------------||| |atan|---------------------------|| / ___________________
|| 1 I*\/ 3 | / 18794366466623 9*I*\/ 34526579987666935 | | \ 18794366466623 /| | || 1 I*\/ 3 | / 18794366466623 9*I*\/ 34526579987666935 | | \ 18794366466623 /| ___ | \ 18794366466623 /|| ___ | \ 18794366466623 /| || 1 I*\/ 3 | / 18794366466623 9*I*\/ 34526579987666935 | | \ 18794366466623 /| | || 1 I*\/ 3 | / 18794366466623 9*I*\/ 34526579987666935 | | \ 18794366466623 /| ___ | \ 18794366466623 /|| ___ | \ 18794366466623 /| / 18794366466623 9*I*\/ 34526579987666935
||- - - -------|*3 / -------------- + ------------------------- | 28223*cos|---------------------------------| | ||- - - -------|*3 / -------------- + ------------------------- | 28223*sin|---------------------------------| 28223*\/ 3 *cos|---------------------------------|| 28223*\/ 3 *sin|---------------------------------| ||- - + -------|*3 / -------------- + ------------------------- | 28223*cos|---------------------------------| | ||- - + -------|*3 / -------------- + ------------------------- | 28223*sin|---------------------------------| 28223*\/ 3 *cos|---------------------------------|| 28223*\/ 3 *sin|---------------------------------| 3 / -------------- + -------------------------
28223 \\ 2 2 / \/ 50161756672 6800672 / \ 3 / | \\ 2 2 / \/ 50161756672 6800672 / \ 3 / \ 3 /| \ 3 / 28223 \\ 2 2 / \/ 50161756672 6800672 / \ 3 / | \\ 2 2 / \/ 50161756672 6800672 / \ 3 / \ 3 /| \ 3 / 28223 796537729 \/ 50161756672 6800672
- ----- - ------------------------------------------------------------------------------- + -------------------------------------------- + I*|- ------------------------------------------------------------------------------- + -------------------------------------------- + --------------------------------------------------| - -------------------------------------------------- + - ----- - ------------------------------------------------------------------------------- + -------------------------------------------- + I*|- ------------------------------------------------------------------------------- + -------------------------------------------- - --------------------------------------------------| + -------------------------------------------------- + - ----- - ---------------------------------------------------------- - -------------------------------------------------
11064 40804032 22128 \ 40804032 22128 22128 / 22128 11064 40804032 22128 \ 40804032 22128 22128 / 22128 11064 ____________________________________________ 3
/ ___________________
/ 18794366466623 9*I*\/ 34526579987666935
40804032*3 / -------------- + -------------------------
\/ 50161756672 6800672
$$\left(- \frac{28223}{11064} - \frac{\sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}{3} - \frac{796537729}{40804032 \sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}\right) + \left(\left(- \frac{28223}{11064} - \frac{28223 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} - \frac{796537729 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}\right)}}{40804032} + \frac{28223 \cos{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} + i \left(- \frac{796537729 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}\right)}}{40804032} + \frac{28223 \sin{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} + \frac{28223 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128}\right)\right) + \left(- \frac{28223}{11064} + \frac{28223 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} + \frac{28223 \cos{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} - \frac{796537729 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}\right)}}{40804032} + i \left(- \frac{28223 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} + \frac{28223 \sin{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} - \frac{796537729 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}\right)}}{40804032}\right)\right)\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
796537729*re|-----------------------------------------------------------------| 796537729*re|-----------------------------------------------------------------| / / ___________________\\ | 796537729*im|-----------------------------------------------------------------| / / ___________________\\ / / ___________________\\| | 796537729*im|-----------------------------------------------------------------| / / ___________________\\ / / ___________________\\|
| ____________________________________________| | ____________________________________________| ____________________________________________ | |66384*\/ 34526579987666935 || | | ____________________________________________| | |66384*\/ 34526579987666935 || | |66384*\/ 34526579987666935 ||| | | ____________________________________________| | |66384*\/ 34526579987666935 || | |66384*\/ 34526579987666935 |||
|/ ___\ / ___________________ | |/ ___\ / ___________________ | / ___________________ |atan|---------------------------|| | |/ ___\ / ___________________ | |atan|---------------------------|| |atan|---------------------------||| | |/ ___\ / ___________________ | |atan|---------------------------|| |atan|---------------------------|||
|| 1 I*\/ 3 | / 18794366466623 9*I*\/ 34526579987666935 | || 1 I*\/ 3 | / 18794366466623 9*I*\/ 34526579987666935 | / 18794366466623 9*I*\/ 34526579987666935 | \ 18794366466623 /| | || 1 I*\/ 3 | / 18794366466623 9*I*\/ 34526579987666935 | | \ 18794366466623 /| ___ | \ 18794366466623 /|| | || 1 I*\/ 3 | / 18794366466623 9*I*\/ 34526579987666935 | | \ 18794366466623 /| ___ | \ 18794366466623 /||
||- - + -------|*3 / -------------- + ------------------------- | ||- - - -------|*3 / -------------- + ------------------------- | 3 / -------------- + ------------------------- 28223*cos|---------------------------------| | ||- - + -------|*3 / -------------- + ------------------------- | 28223*sin|---------------------------------| 28223*\/ 3 *cos|---------------------------------|| | ||- - - -------|*3 / -------------- + ------------------------- | 28223*sin|---------------------------------| 28223*\/ 3 *cos|---------------------------------||
28223 796537729 \\ 2 2 / \/ 50161756672 6800672 / \\ 2 2 / \/ 50161756672 6800672 / \/ 50161756672 6800672 \ 3 / | \\ 2 2 / \/ 50161756672 6800672 / \ 3 / \ 3 /| | \\ 2 2 / \/ 50161756672 6800672 / \ 3 / \ 3 /|
- ----- - ---------------------------------------------------------- - ------------------------------------------------------------------------------- - ------------------------------------------------------------------------------- - ------------------------------------------------- + -------------------------------------------- + I*|- ------------------------------------------------------------------------------- + -------------------------------------------- - --------------------------------------------------| + I*|- ------------------------------------------------------------------------------- + -------------------------------------------- + --------------------------------------------------|
3688 ____________________________________________ 40804032 40804032 3 11064 \ 40804032 22128 22128 / \ 40804032 22128 22128 /
/ ___________________
/ 18794366466623 9*I*\/ 34526579987666935
40804032*3 / -------------- + -------------------------
\/ 50161756672 6800672
$$- \frac{28223}{3688} - \frac{796537729 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}\right)}}{40804032} - \frac{796537729 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}\right)}}{40804032} + \frac{28223 \cos{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{11064} - \frac{\sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}{3} + i \left(- \frac{796537729 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}\right)}}{40804032} + \frac{28223 \sin{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} + \frac{28223 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128}\right) + i \left(- \frac{28223 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} + \frac{28223 \sin{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} - \frac{796537729 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}\right)}}{40804032}\right) - \frac{796537729}{40804032 \sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}$$
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \
| 796537729*re|-----------------------------------------------------------------| / / ___________________\\ | 796537729*im|-----------------------------------------------------------------| / / ___________________\\ / / ___________________\\| / / ___________________\\| | 796537729*re|-----------------------------------------------------------------| / / ___________________\\ | 796537729*im|-----------------------------------------------------------------| / / ___________________\\ / / ___________________\\| / / ___________________\\|
| | ____________________________________________| | |66384*\/ 34526579987666935 || | | ____________________________________________| | |66384*\/ 34526579987666935 || | |66384*\/ 34526579987666935 ||| | |66384*\/ 34526579987666935 ||| | | ____________________________________________| | |66384*\/ 34526579987666935 || | | ____________________________________________| | |66384*\/ 34526579987666935 || | |66384*\/ 34526579987666935 ||| | |66384*\/ 34526579987666935 ||| / ____________________________________________\
| |/ ___\ / ___________________ | |atan|---------------------------|| | |/ ___\ / ___________________ | |atan|---------------------------|| |atan|---------------------------||| |atan|---------------------------||| | |/ ___\ / ___________________ | |atan|---------------------------|| | |/ ___\ / ___________________ | |atan|---------------------------|| |atan|---------------------------||| |atan|---------------------------||| | / ___________________ |
| || 1 I*\/ 3 | / 18794366466623 9*I*\/ 34526579987666935 | | \ 18794366466623 /| | || 1 I*\/ 3 | / 18794366466623 9*I*\/ 34526579987666935 | | \ 18794366466623 /| ___ | \ 18794366466623 /|| ___ | \ 18794366466623 /|| | || 1 I*\/ 3 | / 18794366466623 9*I*\/ 34526579987666935 | | \ 18794366466623 /| | || 1 I*\/ 3 | / 18794366466623 9*I*\/ 34526579987666935 | | \ 18794366466623 /| ___ | \ 18794366466623 /|| ___ | \ 18794366466623 /|| | / 18794366466623 9*I*\/ 34526579987666935 |
| ||- - - -------|*3 / -------------- + ------------------------- | 28223*cos|---------------------------------| | ||- - - -------|*3 / -------------- + ------------------------- | 28223*sin|---------------------------------| 28223*\/ 3 *cos|---------------------------------|| 28223*\/ 3 *sin|---------------------------------|| | ||- - + -------|*3 / -------------- + ------------------------- | 28223*cos|---------------------------------| | ||- - + -------|*3 / -------------- + ------------------------- | 28223*sin|---------------------------------| 28223*\/ 3 *cos|---------------------------------|| 28223*\/ 3 *sin|---------------------------------|| | 3 / -------------- + ------------------------- |
| 28223 \\ 2 2 / \/ 50161756672 6800672 / \ 3 / | \\ 2 2 / \/ 50161756672 6800672 / \ 3 / \ 3 /| \ 3 /| | 28223 \\ 2 2 / \/ 50161756672 6800672 / \ 3 / | \\ 2 2 / \/ 50161756672 6800672 / \ 3 / \ 3 /| \ 3 /| | 28223 796537729 \/ 50161756672 6800672 |
|- ----- - ------------------------------------------------------------------------------- + -------------------------------------------- + I*|- ------------------------------------------------------------------------------- + -------------------------------------------- + --------------------------------------------------| - --------------------------------------------------|*|- ----- - ------------------------------------------------------------------------------- + -------------------------------------------- + I*|- ------------------------------------------------------------------------------- + -------------------------------------------- - --------------------------------------------------| + --------------------------------------------------|*|- ----- - ---------------------------------------------------------- - -------------------------------------------------|
\ 11064 40804032 22128 \ 40804032 22128 22128 / 22128 / \ 11064 40804032 22128 \ 40804032 22128 22128 / 22128 / | 11064 ____________________________________________ 3 |
| / ___________________ |
| / 18794366466623 9*I*\/ 34526579987666935 |
| 40804032*3 / -------------- + ------------------------- |
\ \/ 50161756672 6800672 /
$$\left(- \frac{28223}{11064} - \frac{28223 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} - \frac{796537729 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}\right)}}{40804032} + \frac{28223 \cos{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} + i \left(- \frac{796537729 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}\right)}}{40804032} + \frac{28223 \sin{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} + \frac{28223 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128}\right)\right) \left(- \frac{28223}{11064} + \frac{28223 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} + \frac{28223 \cos{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} - \frac{796537729 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}\right)}}{40804032} + i \left(- \frac{28223 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} + \frac{28223 \sin{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}}{22128} - \frac{796537729 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}\right)}}{40804032}\right)\right) \left(- \frac{28223}{11064} - \frac{\sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}{3} - \frac{796537729}{40804032 \sqrt[3]{\frac{18794366466623}{50161756672} + \frac{9 \sqrt{34526579987666935} i}{6800672}}}\right)$$
=
/ / / ___________________\\ / / ___________________\\\
| | |66384*\/ 34526579987666935 || | |66384*\/ 34526579987666935 |||
/ ________________________________________________ / ________________________________________________\\ | |2*atan|---------------------------|| |atan|---------------------------|||
| 3 / ___________________ | 3 / ___________________ || | | \ 18794366466623 /| | \ 18794366466623 /||
796537729*\796537729 + \/ 18794366466623 + 66384*I*\/ 34526579987666935 *\28223 + \/ 18794366466623 + 66384*I*\/ 34526579987666935 //*|- cos|-----------------------------------| + cos|---------------------------------||
\ \ 3 / \ 3 //
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________________________________________________
3 / ___________________
677183715072*\/ 18794366466623 + 66384*I*\/ 34526579987666935
$$\frac{796537729 \left(796537729 + \left(28223 + \sqrt[3]{18794366466623 + 66384 \sqrt{34526579987666935} i}\right) \sqrt[3]{18794366466623 + 66384 \sqrt{34526579987666935} i}\right) \left(- \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)} + \cos{\left(\frac{\operatorname{atan}{\left(\frac{66384 \sqrt{34526579987666935}}{18794366466623} \right)}}{3} \right)}\right)}{677183715072 \sqrt[3]{18794366466623 + 66384 \sqrt{34526579987666935} i}}$$
796537729*(796537729 + (18794366466623 + 66384*i*sqrt(34526579987666935))^(1/3)*(28223 + (18794366466623 + 66384*i*sqrt(34526579987666935))^(1/3)))*(-cos(2*atan(66384*sqrt(34526579987666935)/18794366466623)/3) + cos(atan(66384*sqrt(34526579987666935)/18794366466623)/3))/(677183715072*(18794366466623 + 66384*i*sqrt(34526579987666935))^(1/3))
Respuesta numérica
[src]
x1 = -0.897701348784111 + 0.e-22*i
x2 = 0.802389311871075 - 0.e-22*i
x3 = -7.55734522989824 - 0.e-23*i
x3 = -7.55734522989824 - 0.e-23*i