Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación x=(x+1)/2
- Ecuación (x-6)(-5x-9)=0
-
Ecuación x^2-14*x+33=0
-
Ecuación x^2+6=5x
- Expresar {x} en función de y en la ecuación:
- -13*x-19*y=17
- -9*x-12*y=-19
- -17*x-12*y=-9
- -8*x+3*y=-4
-
Expresiones idénticas
- (dos *x^ tres - tres *x^ dos - dos *x+ uno)/(tres *x^ dos - uno)= cero
- (2 multiplicar por x al cubo menos 3 multiplicar por x al cuadrado menos 2 multiplicar por x más 1) dividir por (3 multiplicar por x al cuadrado menos 1) es igual a 0
- (dos multiplicar por x en el grado tres menos tres multiplicar por x en el grado dos menos dos multiplicar por x más uno) dividir por (tres multiplicar por x en el grado dos menos uno) es igual a cero
- (2*x3-3*x2-2*x+1)/(3*x2-1)=0
- 2*x3-3*x2-2*x+1/3*x2-1=0
- (2*x³-3*x²-2*x+1)/(3*x²-1)=0
- (2*x en el grado 3-3*x en el grado 2-2*x+1)/(3*x en el grado 2-1)=0
- (2x^3-3x^2-2x+1)/(3x^2-1)=0
- (2x3-3x2-2x+1)/(3x2-1)=0
- 2x3-3x2-2x+1/3x2-1=0
- 2x^3-3x^2-2x+1/3x^2-1=0
- (2*x^3-3*x^2-2*x+1)/(3*x^2-1)=O
- (2*x^3-3*x^2-2*x+1) dividir por (3*x^2-1)=0
-
Expresiones semejantes
- (2*x^3-3*x^2-2*x-1)/(3*x^2-1)=0
- (2*x^3+3*x^2-2*x+1)/(3*x^2-1)=0
- (2*x^3-3*x^2-2*x+1)/(3*x^2+1)=0
- (2*x^3-3*x^2+2*x+1)/(3*x^2-1)=0
(2*x^3-3*x^2-2*x+1)/(3*x^2-1)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3 2
2*x - 3*x - 2*x + 1
--------------------- = 0
2
3*x - 1
$$\frac{\left(- 2 x + \left(2 x^{3} - 3 x^{2}\right)\right) + 1}{3 x^{2} - 1} = 0$$
Suma y producto de raíces
[src]
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
7*re|------------------------------------| |7*im|------------------------------------| / / _____\\ / / _____\\| / / _____\\ / / _____\\ 7*re|------------------------------------| |7*im|------------------------------------| / / _____\\ / / _____\\| / / _____\\ / / _____\\
| _______________| | | _______________| | |2*\/ 237 || | |2*\/ 237 ||| | |2*\/ 237 || | |2*\/ 237 || | _______________| | | _______________| | |2*\/ 237 || | |2*\/ 237 ||| | |2*\/ 237 || | |2*\/ 237 ||
|/ ___\ / _____ | | |/ ___\ / _____ | |atan|---------|| |atan|---------||| |atan|---------|| |atan|---------|| |/ ___\ / _____ | | |/ ___\ / _____ | |atan|---------|| |atan|---------||| |atan|---------|| |atan|---------||
|| 1 I*\/ 3 | / 1 I*\/ 237 | | || 1 I*\/ 3 | / 1 I*\/ 237 | ___ | \ 9 /| ____ | \ 9 /|| ____ | \ 9 /| ___ | \ 9 /| || 1 I*\/ 3 | / 1 I*\/ 237 | | || 1 I*\/ 3 | / 1 I*\/ 237 | ____ | \ 9 /| ___ | \ 9 /|| ___ | \ 9 /| ____ | \ 9 /| _______________
||- - - -------|*3 / - + --------- | | ||- - - -------|*3 / - + --------- | \/ 7 *cos|---------------| \/ 21 *sin|---------------|| \/ 21 *cos|---------------| \/ 7 *sin|---------------| ||- - + -------|*3 / - + --------- | | ||- - + -------|*3 / - + --------- | \/ 21 *sin|---------------| \/ 7 *cos|---------------|| \/ 7 *sin|---------------| \/ 21 *cos|---------------| / _____
1 \\ 2 2 / \/ 8 36 / | \\ 2 2 / \/ 8 36 / \ 3 / \ 3 /| \ 3 / \ 3 / 1 \\ 2 2 / \/ 8 36 / | \\ 2 2 / \/ 8 36 / \ 3 / \ 3 /| \ 3 / \ 3 / 1 / 1 I*\/ 237 7
- + ------------------------------------------ + I*|------------------------------------------ - -------------------------- - ---------------------------| - --------------------------- + -------------------------- + - + ------------------------------------------ + I*|------------------------------------------ - --------------------------- + --------------------------| - -------------------------- - --------------------------- + - + 3 / - + --------- + -----------------------
2 12 \ 12 4 12 / 12 4 2 12 \ 12 12 4 / 4 12 2 \/ 8 36 _______________
/ _____
/ 1 I*\/ 237
12*3 / - + ---------
\/ 8 36
$$\left(\frac{1}{2} + \frac{7}{12 \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}} + \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}\right) + \left(\left(- \frac{\sqrt{21} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{12} + \frac{7 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}}\right)}}{12} + \frac{\sqrt{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{4} + \frac{1}{2} + i \left(- \frac{\sqrt{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{4} - \frac{\sqrt{21} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{12} + \frac{7 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}}\right)}}{12}\right)\right) + \left(\frac{7 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}}\right)}}{12} - \frac{\sqrt{21} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{12} - \frac{\sqrt{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{4} + \frac{1}{2} + i \left(\frac{7 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}}\right)}}{12} - \frac{\sqrt{21} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{12} + \frac{\sqrt{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{4}\right)\right)\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
7*re|------------------------------------| 7*re|------------------------------------| |7*im|------------------------------------| / / _____\\ / / _____\\| |7*im|------------------------------------| / / _____\\ / / _____\\| / / _____\\
| _______________| | _______________| | | _______________| | |2*\/ 237 || | |2*\/ 237 ||| | | _______________| | |2*\/ 237 || | |2*\/ 237 ||| | |2*\/ 237 ||
|/ ___\ / _____ | |/ ___\ / _____ | | |/ ___\ / _____ | |atan|---------|| |atan|---------||| | |/ ___\ / _____ | |atan|---------|| |atan|---------||| |atan|---------||
_______________ || 1 I*\/ 3 | / 1 I*\/ 237 | || 1 I*\/ 3 | / 1 I*\/ 237 | | || 1 I*\/ 3 | / 1 I*\/ 237 | ____ | \ 9 /| ___ | \ 9 /|| | || 1 I*\/ 3 | / 1 I*\/ 237 | ___ | \ 9 /| ____ | \ 9 /|| ____ | \ 9 /|
/ _____ ||- - + -------|*3 / - + --------- | ||- - - -------|*3 / - + --------- | | ||- - + -------|*3 / - + --------- | \/ 21 *sin|---------------| \/ 7 *cos|---------------|| | ||- - - -------|*3 / - + --------- | \/ 7 *cos|---------------| \/ 21 *sin|---------------|| \/ 21 *cos|---------------|
3 / 1 I*\/ 237 7 \\ 2 2 / \/ 8 36 / \\ 2 2 / \/ 8 36 / | \\ 2 2 / \/ 8 36 / \ 3 / \ 3 /| | \\ 2 2 / \/ 8 36 / \ 3 / \ 3 /| \ 3 /
- + 3 / - + --------- + ----------------------- + ------------------------------------------ + ------------------------------------------ + I*|------------------------------------------ - --------------------------- + --------------------------| + I*|------------------------------------------ - -------------------------- - ---------------------------| - ---------------------------
2 \/ 8 36 _______________ 12 12 \ 12 12 4 / \ 12 4 12 / 6
/ _____
/ 1 I*\/ 237
12*3 / - + ---------
\/ 8 36
$$- \frac{\sqrt{21} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{6} + \frac{7 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}}\right)}}{12} + \frac{7 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}}\right)}}{12} + \frac{3}{2} + \frac{7}{12 \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}} + i \left(\frac{7 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}}\right)}}{12} - \frac{\sqrt{21} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{12} + \frac{\sqrt{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{4}\right) + i \left(- \frac{\sqrt{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{4} - \frac{\sqrt{21} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{12} + \frac{7 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}}\right)}}{12}\right) + \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}$$
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \
| 7*re|------------------------------------| |7*im|------------------------------------| / / _____\\ / / _____\\| / / _____\\ / / _____\\| | 7*re|------------------------------------| |7*im|------------------------------------| / / _____\\ / / _____\\| / / _____\\ / / _____\\|
| | _______________| | | _______________| | |2*\/ 237 || | |2*\/ 237 ||| | |2*\/ 237 || | |2*\/ 237 ||| | | _______________| | | _______________| | |2*\/ 237 || | |2*\/ 237 ||| | |2*\/ 237 || | |2*\/ 237 |||
| |/ ___\ / _____ | | |/ ___\ / _____ | |atan|---------|| |atan|---------||| |atan|---------|| |atan|---------||| | |/ ___\ / _____ | | |/ ___\ / _____ | |atan|---------|| |atan|---------||| |atan|---------|| |atan|---------|||
| || 1 I*\/ 3 | / 1 I*\/ 237 | | || 1 I*\/ 3 | / 1 I*\/ 237 | ___ | \ 9 /| ____ | \ 9 /|| ____ | \ 9 /| ___ | \ 9 /|| | || 1 I*\/ 3 | / 1 I*\/ 237 | | || 1 I*\/ 3 | / 1 I*\/ 237 | ____ | \ 9 /| ___ | \ 9 /|| ___ | \ 9 /| ____ | \ 9 /|| / _______________ \
| ||- - - -------|*3 / - + --------- | | ||- - - -------|*3 / - + --------- | \/ 7 *cos|---------------| \/ 21 *sin|---------------|| \/ 21 *cos|---------------| \/ 7 *sin|---------------|| | ||- - + -------|*3 / - + --------- | | ||- - + -------|*3 / - + --------- | \/ 21 *sin|---------------| \/ 7 *cos|---------------|| \/ 7 *sin|---------------| \/ 21 *cos|---------------|| | / _____ |
|1 \\ 2 2 / \/ 8 36 / | \\ 2 2 / \/ 8 36 / \ 3 / \ 3 /| \ 3 / \ 3 /| |1 \\ 2 2 / \/ 8 36 / | \\ 2 2 / \/ 8 36 / \ 3 / \ 3 /| \ 3 / \ 3 /| |1 / 1 I*\/ 237 7 |
|- + ------------------------------------------ + I*|------------------------------------------ - -------------------------- - ---------------------------| - --------------------------- + --------------------------|*|- + ------------------------------------------ + I*|------------------------------------------ - --------------------------- + --------------------------| - -------------------------- - ---------------------------|*|- + 3 / - + --------- + -----------------------|
\2 12 \ 12 4 12 / 12 4 / \2 12 \ 12 12 4 / 4 12 / |2 \/ 8 36 _______________|
| / _____ |
| / 1 I*\/ 237 |
| 12*3 / - + --------- |
\ \/ 8 36 /
$$\left(- \frac{\sqrt{21} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{12} + \frac{7 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}}\right)}}{12} + \frac{\sqrt{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{4} + \frac{1}{2} + i \left(- \frac{\sqrt{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{4} - \frac{\sqrt{21} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{12} + \frac{7 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}}\right)}}{12}\right)\right) \left(\frac{7 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}}\right)}}{12} - \frac{\sqrt{21} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{12} - \frac{\sqrt{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{4} + \frac{1}{2} + i \left(\frac{7 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}}\right)}}{12} - \frac{\sqrt{21} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{12} + \frac{\sqrt{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{4}\right)\right) \left(\frac{1}{2} + \frac{7}{12 \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}} + \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}\right)$$
=
/ / / _____\\ / / _____\\\
| | |2*\/ 237 || | |2*\/ 237 |||
/ _________________ / __________________\\ | |2*atan|---------|| |atan|---------|||
| 2/3 3 / _____ | 3 / _____ || | | \ 9 /| ____ | \ 9 /||
\7*3 + \/ 9 + 2*I*\/ 237 *\3 + \/ 27 + 6*I*\/ 237 //*|-48 + 168*cos|-----------------| - 24*\/ 21 *cos|---------------||
\ \ 3 / \ 3 //
-------------------------------------------------------------------------------------------------------------------------------
_________________
3 / _____
864*\/ 9 + 2*I*\/ 237
$$\frac{\left(7 \cdot 3^{\frac{2}{3}} + \left(3 + \sqrt[3]{27 + 6 \sqrt{237} i}\right) \sqrt[3]{9 + 2 \sqrt{237} i}\right) \left(- 24 \sqrt{21} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)} - 48 + 168 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}\right)}{864 \sqrt[3]{9 + 2 \sqrt{237} i}}$$
(7*3^(2/3) + (9 + 2*i*sqrt(237))^(1/3)*(3 + (27 + 6*i*sqrt(237))^(1/3)))*(-48 + 168*cos(2*atan(2*sqrt(237)/9)/3) - 24*sqrt(21)*cos(atan(2*sqrt(237)/9)/3))/(864*(9 + 2*i*sqrt(237))^(1/3))
Respuesta rápida
[src]
/ 1 \ / / 1 \ \
7*re|------------------------------------| |7*im|------------------------------------| / / _____\\ / / _____\\| / / _____\\ / / _____\\
| _______________| | | _______________| | |2*\/ 237 || | |2*\/ 237 ||| | |2*\/ 237 || | |2*\/ 237 ||
|/ ___\ / _____ | | |/ ___\ / _____ | |atan|---------|| |atan|---------||| |atan|---------|| |atan|---------||
|| 1 I*\/ 3 | / 1 I*\/ 237 | | || 1 I*\/ 3 | / 1 I*\/ 237 | ___ | \ 9 /| ____ | \ 9 /|| ____ | \ 9 /| ___ | \ 9 /|
||- - - -------|*3 / - + --------- | | ||- - - -------|*3 / - + --------- | \/ 7 *cos|---------------| \/ 21 *sin|---------------|| \/ 21 *cos|---------------| \/ 7 *sin|---------------|
1 \\ 2 2 / \/ 8 36 / | \\ 2 2 / \/ 8 36 / \ 3 / \ 3 /| \ 3 / \ 3 /
x1 = - + ------------------------------------------ + I*|------------------------------------------ - -------------------------- - ---------------------------| - --------------------------- + --------------------------
2 12 \ 12 4 12 / 12 4
$$x_{1} = - \frac{\sqrt{21} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{12} + \frac{7 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}}\right)}}{12} + \frac{\sqrt{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{4} + \frac{1}{2} + i \left(- \frac{\sqrt{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{4} - \frac{\sqrt{21} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{12} + \frac{7 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}}\right)}}{12}\right)$$
/ 1 \ / / 1 \ \
7*re|------------------------------------| |7*im|------------------------------------| / / _____\\ / / _____\\| / / _____\\ / / _____\\
| _______________| | | _______________| | |2*\/ 237 || | |2*\/ 237 ||| | |2*\/ 237 || | |2*\/ 237 ||
|/ ___\ / _____ | | |/ ___\ / _____ | |atan|---------|| |atan|---------||| |atan|---------|| |atan|---------||
|| 1 I*\/ 3 | / 1 I*\/ 237 | | || 1 I*\/ 3 | / 1 I*\/ 237 | ____ | \ 9 /| ___ | \ 9 /|| ___ | \ 9 /| ____ | \ 9 /|
||- - + -------|*3 / - + --------- | | ||- - + -------|*3 / - + --------- | \/ 21 *sin|---------------| \/ 7 *cos|---------------|| \/ 7 *sin|---------------| \/ 21 *cos|---------------|
1 \\ 2 2 / \/ 8 36 / | \\ 2 2 / \/ 8 36 / \ 3 / \ 3 /| \ 3 / \ 3 /
x2 = - + ------------------------------------------ + I*|------------------------------------------ - --------------------------- + --------------------------| - -------------------------- - ---------------------------
2 12 \ 12 12 4 / 4 12
$$x_{2} = \frac{7 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}}\right)}}{12} - \frac{\sqrt{21} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{12} - \frac{\sqrt{7} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{4} + \frac{1}{2} + i \left(\frac{7 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}}\right)}}{12} - \frac{\sqrt{21} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{12} + \frac{\sqrt{7} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \sqrt{237}}{9} \right)}}{3} \right)}}{4}\right)$$
_______________
/ _____
1 / 1 I*\/ 237 7
x3 = - + 3 / - + --------- + -----------------------
2 \/ 8 36 _______________
/ _____
/ 1 I*\/ 237
12*3 / - + ---------
\/ 8 36
$$x_{3} = \frac{1}{2} + \frac{7}{12 \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}} + \sqrt[3]{\frac{1}{8} + \frac{\sqrt{237} i}{36}}$$
x3 = 1/2 + 7/(12*(1/8 + sqrt(237)*i/36)^(1/3)) + (1/8 + sqrt(237)*i/36)^(1/3)
Respuesta numérica
[src]
x1 = 0.355415726775845 + 0.e-23*i
x2 = -0.744644285905039 + 0.e-21*i
x3 = 1.88922855912919 - 0.e-21*i
x3 = 1.88922855912919 - 0.e-21*i