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Ecuación y^2-5*y=0
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Ecuación 49x^3+14x^2+x=0
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Ecuación x-12=0
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Ecuación (x-3)/(x+1)=0
- Expresar {x} en función de y en la ecuación:
- -16*x+3*y=17
- 18*x-14*y=-2
- 18*x+19*y=10
- 11*x-6*y=5
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Expresiones idénticas
- (((dos x+ uno)(x- tres))/x+ once)-((2x^2-5x- tres)/ tres -x)= cero
- (((2x más 1)(x menos 3)) dividir por x más 11) menos ((2x al cuadrado menos 5x menos 3) dividir por 3 menos x) es igual a 0
- (((dos x más uno)(x menos tres)) dividir por x más once) menos ((2x al cuadrado menos 5x menos tres) dividir por tres menos x) es igual a cero
- (((2x+1)(x-3))/x+11)-((2x2-5x-3)/3-x)=0
- 2x+1x-3/x+11-2x2-5x-3/3-x=0
- (((2x+1)(x-3))/x+11)-((2x²-5x-3)/3-x)=0
- (((2x+1)(x-3))/x+11)-((2x en el grado 2-5x-3)/3-x)=0
- 2x+1x-3/x+11-2x^2-5x-3/3-x=0
- (((2x+1)(x-3))/x+11)-((2x^2-5x-3)/3-x)=O
- (((2x+1)(x-3)) dividir por x+11)-((2x^2-5x-3) dividir por 3-x)=0
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Expresiones semejantes
- (((2x-1)(x-3))/x+11)-((2x^2-5x-3)/3-x)=0
- (((2x+1)(x-3))/x+11)-((2x^2-5x+3)/3-x)=0
- (((2x+1)(x-3))/x+11)+((2x^2-5x-3)/3-x)=0
- (((2x+1)(x+3))/x+11)-((2x^2-5x-3)/3-x)=0
- (((2x+1)(x-3))/x+11)-((2x^2+5x-3)/3-x)=0
- (((2x+1)(x-3))/x+11)-((2x^2-5x-3)/3+x)=0
- (((2x+1)(x-3))/x-11)-((2x^2-5x-3)/3-x)=0
(((2x+1)(x-3))/x+11)-((2x^2-5x-3)/3-x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2
(2*x + 1)*(x - 3) 2*x - 5*x - 3
----------------- + 11 + - -------------- + x = 0
x 3
$$\left(11 + \frac{\left(x - 3\right) \left(2 x + 1\right)}{x}\right) + \left(x - \frac{\left(2 x^{2} - 5 x\right) - 3}{3}\right) = 0$$
Respuesta rápida
[src]
/ 1 \ / / 1 \ \
161*re|---------------------------------------| |161*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\
| __________________| | | __________________| | |27*\/ 3202 || | |27*\/ 3202 ||| | |27*\/ 3202 || | |27*\/ 3202 ||
|/ ___\ / ______ | | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |atan|-----------||
|| 1 I*\/ 3 | / 613 I*\/ 3202 | | || 1 I*\/ 3 | / 613 I*\/ 3202 | _____ | \ 2452 /| _____ | \ 2452 /|| _____ | \ 2452 /| _____ | \ 2452 /|
||- - - -------|*3 / --- + ---------- | | ||- - - -------|*3 / --- + ---------- | \/ 322 *sin|-----------------| \/ 966 *cos|-----------------|| \/ 322 *cos|-----------------| \/ 966 *sin|-----------------|
7 \\ 2 2 / \/ 27 4 / | \\ 2 2 / \/ 27 4 / \ 3 / \ 3 /| \ 3 / \ 3 /
x1 = - + ----------------------------------------------- + I*|----------------------------------------------- - ------------------------------ - ------------------------------| - ------------------------------ + ------------------------------
3 18 \ 18 12 12 / 12 12
$$x_{1} = - \frac{\sqrt{322} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} + \frac{161 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}}\right)}}{18} + \frac{\sqrt{966} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} + \frac{7}{3} + i \left(- \frac{\sqrt{966} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} - \frac{\sqrt{322} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} + \frac{161 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}}\right)}}{18}\right)$$
/ 1 \ / / 1 \ \
161*re|---------------------------------------| |161*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\
| __________________| | | __________________| | |27*\/ 3202 || | |27*\/ 3202 ||| | |27*\/ 3202 || | |27*\/ 3202 ||
|/ ___\ / ______ | | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |atan|-----------||
|| 1 I*\/ 3 | / 613 I*\/ 3202 | | || 1 I*\/ 3 | / 613 I*\/ 3202 | _____ | \ 2452 /| _____ | \ 2452 /|| _____ | \ 2452 /| _____ | \ 2452 /|
||- - + -------|*3 / --- + ---------- | | ||- - + -------|*3 / --- + ---------- | \/ 322 *sin|-----------------| \/ 966 *cos|-----------------|| \/ 322 *cos|-----------------| \/ 966 *sin|-----------------|
7 \\ 2 2 / \/ 27 4 / | \\ 2 2 / \/ 27 4 / \ 3 / \ 3 /| \ 3 / \ 3 /
x2 = - + ----------------------------------------------- + I*|----------------------------------------------- - ------------------------------ + ------------------------------| - ------------------------------ - ------------------------------
3 18 \ 18 12 12 / 12 12
$$x_{2} = \frac{161 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}}\right)}}{18} - \frac{\sqrt{322} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} - \frac{\sqrt{966} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} + \frac{7}{3} + i \left(\frac{161 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}}\right)}}{18} - \frac{\sqrt{322} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} + \frac{\sqrt{966} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12}\right)$$
__________________
/ ______
7 / 613 I*\/ 3202 161
x3 = - + 3 / --- + ---------- + --------------------------
3 \/ 27 4 __________________
/ ______
/ 613 I*\/ 3202
18*3 / --- + ----------
\/ 27 4
$$x_{3} = \frac{7}{3} + \frac{161}{18 \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}} + \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}$$
x3 = 7/3 + 161/(18*(613/27 + sqrt(3202)*i/4)^(1/3)) + (613/27 + sqrt(3202)*i/4)^(1/3)
Suma y producto de raíces
[src]
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
161*re|---------------------------------------| |161*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\ 161*re|---------------------------------------| |161*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\
| __________________| | | __________________| | |27*\/ 3202 || | |27*\/ 3202 ||| | |27*\/ 3202 || | |27*\/ 3202 || | __________________| | | __________________| | |27*\/ 3202 || | |27*\/ 3202 ||| | |27*\/ 3202 || | |27*\/ 3202 ||
|/ ___\ / ______ | | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |atan|-----------|| |/ ___\ / ______ | | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |atan|-----------||
|| 1 I*\/ 3 | / 613 I*\/ 3202 | | || 1 I*\/ 3 | / 613 I*\/ 3202 | _____ | \ 2452 /| _____ | \ 2452 /|| _____ | \ 2452 /| _____ | \ 2452 /| || 1 I*\/ 3 | / 613 I*\/ 3202 | | || 1 I*\/ 3 | / 613 I*\/ 3202 | _____ | \ 2452 /| _____ | \ 2452 /|| _____ | \ 2452 /| _____ | \ 2452 /| __________________
||- - - -------|*3 / --- + ---------- | | ||- - - -------|*3 / --- + ---------- | \/ 322 *sin|-----------------| \/ 966 *cos|-----------------|| \/ 322 *cos|-----------------| \/ 966 *sin|-----------------| ||- - + -------|*3 / --- + ---------- | | ||- - + -------|*3 / --- + ---------- | \/ 322 *sin|-----------------| \/ 966 *cos|-----------------|| \/ 322 *cos|-----------------| \/ 966 *sin|-----------------| / ______
7 \\ 2 2 / \/ 27 4 / | \\ 2 2 / \/ 27 4 / \ 3 / \ 3 /| \ 3 / \ 3 / 7 \\ 2 2 / \/ 27 4 / | \\ 2 2 / \/ 27 4 / \ 3 / \ 3 /| \ 3 / \ 3 / 7 / 613 I*\/ 3202 161
- + ----------------------------------------------- + I*|----------------------------------------------- - ------------------------------ - ------------------------------| - ------------------------------ + ------------------------------ + - + ----------------------------------------------- + I*|----------------------------------------------- - ------------------------------ + ------------------------------| - ------------------------------ - ------------------------------ + - + 3 / --- + ---------- + --------------------------
3 18 \ 18 12 12 / 12 12 3 18 \ 18 12 12 / 12 12 3 \/ 27 4 __________________
/ ______
/ 613 I*\/ 3202
18*3 / --- + ----------
\/ 27 4
$$\left(\frac{7}{3} + \frac{161}{18 \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}} + \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}\right) + \left(\left(- \frac{\sqrt{322} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} + \frac{161 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}}\right)}}{18} + \frac{\sqrt{966} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} + \frac{7}{3} + i \left(- \frac{\sqrt{966} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} - \frac{\sqrt{322} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} + \frac{161 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}}\right)}}{18}\right)\right) + \left(\frac{161 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}}\right)}}{18} - \frac{\sqrt{322} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} - \frac{\sqrt{966} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} + \frac{7}{3} + i \left(\frac{161 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}}\right)}}{18} - \frac{\sqrt{322} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} + \frac{\sqrt{966} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12}\right)\right)\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
161*re|---------------------------------------| 161*re|---------------------------------------| |161*im|---------------------------------------| / / ______\\ / / ______\\| |161*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\
| __________________| | __________________| | | __________________| | |27*\/ 3202 || | |27*\/ 3202 ||| | | __________________| | |27*\/ 3202 || | |27*\/ 3202 ||| | |27*\/ 3202 ||
|/ ___\ / ______ | |/ ___\ / ______ | | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------||
__________________ || 1 I*\/ 3 | / 613 I*\/ 3202 | || 1 I*\/ 3 | / 613 I*\/ 3202 | | || 1 I*\/ 3 | / 613 I*\/ 3202 | _____ | \ 2452 /| _____ | \ 2452 /|| | || 1 I*\/ 3 | / 613 I*\/ 3202 | _____ | \ 2452 /| _____ | \ 2452 /|| _____ | \ 2452 /|
/ ______ ||- - + -------|*3 / --- + ---------- | ||- - - -------|*3 / --- + ---------- | | ||- - + -------|*3 / --- + ---------- | \/ 322 *sin|-----------------| \/ 966 *cos|-----------------|| | ||- - - -------|*3 / --- + ---------- | \/ 322 *sin|-----------------| \/ 966 *cos|-----------------|| \/ 322 *cos|-----------------|
/ 613 I*\/ 3202 161 \\ 2 2 / \/ 27 4 / \\ 2 2 / \/ 27 4 / | \\ 2 2 / \/ 27 4 / \ 3 / \ 3 /| | \\ 2 2 / \/ 27 4 / \ 3 / \ 3 /| \ 3 /
7 + 3 / --- + ---------- + -------------------------- + ----------------------------------------------- + ----------------------------------------------- + I*|----------------------------------------------- - ------------------------------ + ------------------------------| + I*|----------------------------------------------- - ------------------------------ - ------------------------------| - ------------------------------
\/ 27 4 __________________ 18 18 \ 18 12 12 / \ 18 12 12 / 6
/ ______
/ 613 I*\/ 3202
18*3 / --- + ----------
\/ 27 4
$$- \frac{\sqrt{322} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{6} + \frac{161 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}}\right)}}{18} + \frac{161 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}}\right)}}{18} + 7 + \frac{161}{18 \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}} + i \left(- \frac{\sqrt{966} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} - \frac{\sqrt{322} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} + \frac{161 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}}\right)}}{18}\right) + i \left(\frac{161 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}}\right)}}{18} - \frac{\sqrt{322} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} + \frac{\sqrt{966} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12}\right) + \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}$$
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \
| 161*re|---------------------------------------| |161*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\| | 161*re|---------------------------------------| |161*im|---------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\|
| | __________________| | | __________________| | |27*\/ 3202 || | |27*\/ 3202 ||| | |27*\/ 3202 || | |27*\/ 3202 ||| | | __________________| | | __________________| | |27*\/ 3202 || | |27*\/ 3202 ||| | |27*\/ 3202 || | |27*\/ 3202 |||
| |/ ___\ / ______ | | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |atan|-----------||| | |/ ___\ / ______ | | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |atan|-----------|||
| || 1 I*\/ 3 | / 613 I*\/ 3202 | | || 1 I*\/ 3 | / 613 I*\/ 3202 | _____ | \ 2452 /| _____ | \ 2452 /|| _____ | \ 2452 /| _____ | \ 2452 /|| | || 1 I*\/ 3 | / 613 I*\/ 3202 | | || 1 I*\/ 3 | / 613 I*\/ 3202 | _____ | \ 2452 /| _____ | \ 2452 /|| _____ | \ 2452 /| _____ | \ 2452 /|| / __________________ \
| ||- - - -------|*3 / --- + ---------- | | ||- - - -------|*3 / --- + ---------- | \/ 322 *sin|-----------------| \/ 966 *cos|-----------------|| \/ 322 *cos|-----------------| \/ 966 *sin|-----------------|| | ||- - + -------|*3 / --- + ---------- | | ||- - + -------|*3 / --- + ---------- | \/ 322 *sin|-----------------| \/ 966 *cos|-----------------|| \/ 322 *cos|-----------------| \/ 966 *sin|-----------------|| | / ______ |
|7 \\ 2 2 / \/ 27 4 / | \\ 2 2 / \/ 27 4 / \ 3 / \ 3 /| \ 3 / \ 3 /| |7 \\ 2 2 / \/ 27 4 / | \\ 2 2 / \/ 27 4 / \ 3 / \ 3 /| \ 3 / \ 3 /| |7 / 613 I*\/ 3202 161 |
|- + ----------------------------------------------- + I*|----------------------------------------------- - ------------------------------ - ------------------------------| - ------------------------------ + ------------------------------|*|- + ----------------------------------------------- + I*|----------------------------------------------- - ------------------------------ + ------------------------------| - ------------------------------ - ------------------------------|*|- + 3 / --- + ---------- + --------------------------|
\3 18 \ 18 12 12 / 12 12 / \3 18 \ 18 12 12 / 12 12 / |3 \/ 27 4 __________________|
| / ______ |
| / 613 I*\/ 3202 |
| 18*3 / --- + ---------- |
\ \/ 27 4 /
$$\left(- \frac{\sqrt{322} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} + \frac{161 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}}\right)}}{18} + \frac{\sqrt{966} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} + \frac{7}{3} + i \left(- \frac{\sqrt{966} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} - \frac{\sqrt{322} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} + \frac{161 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}}\right)}}{18}\right)\right) \left(\frac{161 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}}\right)}}{18} - \frac{\sqrt{322} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} - \frac{\sqrt{966} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} + \frac{7}{3} + i \left(\frac{161 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}}\right)}}{18} - \frac{\sqrt{322} \sin{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12} + \frac{\sqrt{966} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}}{12}\right)\right) \left(\frac{7}{3} + \frac{161}{18 \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}} + \sqrt[3]{\frac{613}{27} + \frac{\sqrt{3202} i}{4}}\right)$$
=
/ / / ______\\ / / ______\\\
| | |27*\/ 3202 || | |27*\/ 3202 |||
/ ______________________ / ______________________\\ | |2*atan|-----------|| |atan|-----------|||
| 2/3 3 / ______ | 3 / ______ || | | \ 2452 /| _____ | \ 2452 /||
\161*2 + \/ 2452 + 27*I*\/ 3202 *\14 + \/ 4904 + 54*I*\/ 3202 //*|-126 + 644*cos|-------------------| - 28*\/ 322 *cos|-----------------||
\ \ 3 / \ 3 //
-------------------------------------------------------------------------------------------------------------------------------------------------
______________________
3 / ______
216*\/ 2452 + 27*I*\/ 3202
$$\frac{\left(161 \cdot 2^{\frac{2}{3}} + \left(14 + \sqrt[3]{4904 + 54 \sqrt{3202} i}\right) \sqrt[3]{2452 + 27 \sqrt{3202} i}\right) \left(- 28 \sqrt{322} \cos{\left(\frac{\operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)} - 126 + 644 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{27 \sqrt{3202}}{2452} \right)}}{3} \right)}\right)}{216 \sqrt[3]{2452 + 27 \sqrt{3202} i}}$$
(161*2^(2/3) + (2452 + 27*i*sqrt(3202))^(1/3)*(14 + (4904 + 54*i*sqrt(3202))^(1/3)))*(-126 + 644*cos(2*atan(27*sqrt(3202)/2452)/3) - 28*sqrt(322)*cos(atan(27*sqrt(3202)/2452)/3))/(216*(2452 + 27*i*sqrt(3202))^(1/3))
Respuesta numérica
[src]
x1 = 0.350689982882025 + 0.e-20*i
x2 = -1.56259138813688 + 0.e-22*i
x3 = 8.21190140525485 - 0.e-20*i
x3 = 8.21190140525485 - 0.e-20*i