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Ecuación x^3-x^2-x-1=0
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Ecuación 12-4(x-3)=39-9x
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Ecuación 0,2x+2,7=1,4-1,1x
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Ecuación x^2=2x+8
- Expresar {x} en función de y en la ecuación:
- -11*x-14*y=-3
- -9*x-1*y=6
- -2*x+2*y=4
- -11*x-3*y=14
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Expresiones idénticas
- (cuarenta y nueve . sesenta y tres / dos)*x^ dos -(veintidós / seis)*x^ tres +(veintiuno / dos)*(x- dos . seis)^ dos = ciento veintitrés . treinta y siete
- (49.63 dividir por 2) multiplicar por x al cuadrado menos (22 dividir por 6) multiplicar por x al cubo más (21 dividir por 2) multiplicar por (x menos 2.6) al cuadrado es igual a 123.37
- (cuarenta y nueve . sesenta y tres dividir por dos) multiplicar por x en el grado dos menos (veintidós dividir por seis) multiplicar por x en el grado tres más (veintiuno dividir por dos) multiplicar por (x menos dos . seis) en el grado dos es igual a ciento veintitrés . treinta y siete
- (49.63/2)*x2-(22/6)*x3+(21/2)*(x-2.6)2=123.37
- 49.63/2*x2-22/6*x3+21/2*x-2.62=123.37
- (49.63/2)*x²-(22/6)*x³+(21/2)*(x-2.6)²=123.37
- (49.63/2)*x en el grado 2-(22/6)*x en el grado 3+(21/2)*(x-2.6) en el grado 2=123.37
- (49.63/2)x^2-(22/6)x^3+(21/2)(x-2.6)^2=123.37
- (49.63/2)x2-(22/6)x3+(21/2)(x-2.6)2=123.37
- 49.63/2x2-22/6x3+21/2x-2.62=123.37
- 49.63/2x^2-22/6x^3+21/2x-2.6^2=123.37
- (49.63 dividir por 2)*x^2-(22 dividir por 6)*x^3+(21 dividir por 2)*(x-2.6)^2=123.37
-
Expresiones semejantes
- (49.63/2)*x^2-(22/6)*x^3+(21/2)*(x+2.6)^2=123.37
- (49.63/2)*x^2-(22/6)*x^3-(21/2)*(x-2.6)^2=123.37
- (49.63/2)*x^2+(22/6)*x^3+(21/2)*(x-2.6)^2=123.37
(49.63/2)*x^2-(22/6)*x^3+(21/2)*(x-2.6)^2=123.37 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3 2 4963 2 11*x 21*(x - 13/5) 12337 -----*x - ----- + -------------- = ----- 100*2 3 2 100
$$\frac{21 \left(x - \frac{13}{5}\right)^{2}}{2} + \left(- \frac{11 x^{3}}{3} + \frac{4963}{2 \cdot 100} x^{2}\right) = \frac{12337}{100}$$
Respuesta rápida
[src]
/ 1 \ / / 1 \ \
25861969*re|------------------------------------------------------------| |25861969*im|------------------------------------------------------------| / / ________________\\ / / ________________\\| / / ________________\\ / / ________________\\
| _______________________________________| | | _______________________________________| | |28600*\/ 20568737929542 || | |28600*\/ 20568737929542 ||| | |28600*\/ 20568737929542 || | |28600*\/ 20568737929542 ||
|/ ___\ / ________________ | | |/ ___\ / ________________ | |atan|------------------------|| |atan|------------------------||| |atan|------------------------|| |atan|------------------------||
|| 1 I*\/ 3 | / 21752051047 13*I*\/ 20568737929542 | | || 1 I*\/ 3 | / 21752051047 13*I*\/ 20568737929542 | __________ | \ 21752051047 /| __________ | \ 21752051047 /|| __________ | \ 21752051047 /| __________ | \ 21752051047 /|
||- - - -------|*3 / ----------- + ----------------------- | | ||- - - -------|*3 / ----------- + ----------------------- | \/ 25861969 *sin|------------------------------| \/ 77585907 *cos|------------------------------|| \/ 25861969 *cos|------------------------------| \/ 77585907 *sin|------------------------------|
7063 \\ 2 2 / \/ 10648000000 4840000 / | \\ 2 2 / \/ 10648000000 4840000 / \ 3 / \ 3 /| \ 3 / \ 3 /
x1 = ---- + ------------------------------------------------------------------------- + I*|------------------------------------------------------------------------- - ------------------------------------------------ - ------------------------------------------------| - ------------------------------------------------ + ------------------------------------------------
2200 4840000 \ 4840000 4400 4400 / 4400 4400
$$x_{1} = - \frac{\sqrt{25861969} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{25861969 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} + \frac{\sqrt{77585907} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{7063}{2200} + i \left(- \frac{\sqrt{77585907} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} - \frac{\sqrt{25861969} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{25861969 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000}\right)$$
/ 1 \ / / 1 \ \
25861969*re|------------------------------------------------------------| |25861969*im|------------------------------------------------------------| / / ________________\\ / / ________________\\| / / ________________\\ / / ________________\\
| _______________________________________| | | _______________________________________| | |28600*\/ 20568737929542 || | |28600*\/ 20568737929542 ||| | |28600*\/ 20568737929542 || | |28600*\/ 20568737929542 ||
|/ ___\ / ________________ | | |/ ___\ / ________________ | |atan|------------------------|| |atan|------------------------||| |atan|------------------------|| |atan|------------------------||
|| 1 I*\/ 3 | / 21752051047 13*I*\/ 20568737929542 | | || 1 I*\/ 3 | / 21752051047 13*I*\/ 20568737929542 | __________ | \ 21752051047 /| __________ | \ 21752051047 /|| __________ | \ 21752051047 /| __________ | \ 21752051047 /|
||- - + -------|*3 / ----------- + ----------------------- | | ||- - + -------|*3 / ----------- + ----------------------- | \/ 25861969 *sin|------------------------------| \/ 77585907 *cos|------------------------------|| \/ 25861969 *cos|------------------------------| \/ 77585907 *sin|------------------------------|
7063 \\ 2 2 / \/ 10648000000 4840000 / | \\ 2 2 / \/ 10648000000 4840000 / \ 3 / \ 3 /| \ 3 / \ 3 /
x2 = ---- + ------------------------------------------------------------------------- + I*|------------------------------------------------------------------------- - ------------------------------------------------ + ------------------------------------------------| - ------------------------------------------------ - ------------------------------------------------
2200 4840000 \ 4840000 4400 4400 / 4400 4400
$$x_{2} = \frac{25861969 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} - \frac{\sqrt{25861969} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} - \frac{\sqrt{77585907} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{7063}{2200} + i \left(\frac{25861969 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} - \frac{\sqrt{25861969} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{\sqrt{77585907} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400}\right)$$
_______________________________________
/ ________________
7063 / 21752051047 13*I*\/ 20568737929542 25861969
x3 = ---- + 3 / ----------- + ----------------------- + ----------------------------------------------------
2200 \/ 10648000000 4840000 _______________________________________
/ ________________
/ 21752051047 13*I*\/ 20568737929542
4840000*3 / ----------- + -----------------------
\/ 10648000000 4840000
$$x_{3} = \frac{7063}{2200} + \frac{25861969}{4840000 \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}} + \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}$$
x3 = 7063/2200 + 25861969/(4840000*(21752051047/10648000000 + 13*sqrt(20568737929542)*i/4840000)^(1/3)) + (21752051047/10648000000 + 13*sqrt(20568737929542)*i/4840000)^(1/3)
Suma y producto de raíces
[src]
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
25861969*re|------------------------------------------------------------| |25861969*im|------------------------------------------------------------| / / ________________\\ / / ________________\\| / / ________________\\ / / ________________\\ 25861969*re|------------------------------------------------------------| |25861969*im|------------------------------------------------------------| / / ________________\\ / / ________________\\| / / ________________\\ / / ________________\\
| _______________________________________| | | _______________________________________| | |28600*\/ 20568737929542 || | |28600*\/ 20568737929542 ||| | |28600*\/ 20568737929542 || | |28600*\/ 20568737929542 || | _______________________________________| | | _______________________________________| | |28600*\/ 20568737929542 || | |28600*\/ 20568737929542 ||| | |28600*\/ 20568737929542 || | |28600*\/ 20568737929542 ||
|/ ___\ / ________________ | | |/ ___\ / ________________ | |atan|------------------------|| |atan|------------------------||| |atan|------------------------|| |atan|------------------------|| |/ ___\ / ________________ | | |/ ___\ / ________________ | |atan|------------------------|| |atan|------------------------||| |atan|------------------------|| |atan|------------------------||
|| 1 I*\/ 3 | / 21752051047 13*I*\/ 20568737929542 | | || 1 I*\/ 3 | / 21752051047 13*I*\/ 20568737929542 | __________ | \ 21752051047 /| __________ | \ 21752051047 /|| __________ | \ 21752051047 /| __________ | \ 21752051047 /| || 1 I*\/ 3 | / 21752051047 13*I*\/ 20568737929542 | | || 1 I*\/ 3 | / 21752051047 13*I*\/ 20568737929542 | __________ | \ 21752051047 /| __________ | \ 21752051047 /|| __________ | \ 21752051047 /| __________ | \ 21752051047 /| _______________________________________
||- - - -------|*3 / ----------- + ----------------------- | | ||- - - -------|*3 / ----------- + ----------------------- | \/ 25861969 *sin|------------------------------| \/ 77585907 *cos|------------------------------|| \/ 25861969 *cos|------------------------------| \/ 77585907 *sin|------------------------------| ||- - + -------|*3 / ----------- + ----------------------- | | ||- - + -------|*3 / ----------- + ----------------------- | \/ 25861969 *sin|------------------------------| \/ 77585907 *cos|------------------------------|| \/ 25861969 *cos|------------------------------| \/ 77585907 *sin|------------------------------| / ________________
7063 \\ 2 2 / \/ 10648000000 4840000 / | \\ 2 2 / \/ 10648000000 4840000 / \ 3 / \ 3 /| \ 3 / \ 3 / 7063 \\ 2 2 / \/ 10648000000 4840000 / | \\ 2 2 / \/ 10648000000 4840000 / \ 3 / \ 3 /| \ 3 / \ 3 / 7063 / 21752051047 13*I*\/ 20568737929542 25861969
---- + ------------------------------------------------------------------------- + I*|------------------------------------------------------------------------- - ------------------------------------------------ - ------------------------------------------------| - ------------------------------------------------ + ------------------------------------------------ + ---- + ------------------------------------------------------------------------- + I*|------------------------------------------------------------------------- - ------------------------------------------------ + ------------------------------------------------| - ------------------------------------------------ - ------------------------------------------------ + ---- + 3 / ----------- + ----------------------- + ----------------------------------------------------
2200 4840000 \ 4840000 4400 4400 / 4400 4400 2200 4840000 \ 4840000 4400 4400 / 4400 4400 2200 \/ 10648000000 4840000 _______________________________________
/ ________________
/ 21752051047 13*I*\/ 20568737929542
4840000*3 / ----------- + -----------------------
\/ 10648000000 4840000
$$\left(\frac{7063}{2200} + \frac{25861969}{4840000 \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}} + \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}\right) + \left(\left(\frac{25861969 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} - \frac{\sqrt{25861969} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} - \frac{\sqrt{77585907} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{7063}{2200} + i \left(\frac{25861969 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} - \frac{\sqrt{25861969} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{\sqrt{77585907} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400}\right)\right) + \left(- \frac{\sqrt{25861969} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{25861969 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} + \frac{\sqrt{77585907} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{7063}{2200} + i \left(- \frac{\sqrt{77585907} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} - \frac{\sqrt{25861969} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{25861969 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000}\right)\right)\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
25861969*re|------------------------------------------------------------| 25861969*re|------------------------------------------------------------| |25861969*im|------------------------------------------------------------| / / ________________\\ / / ________________\\| |25861969*im|------------------------------------------------------------| / / ________________\\ / / ________________\\| / / ________________\\
| _______________________________________| | _______________________________________| | | _______________________________________| | |28600*\/ 20568737929542 || | |28600*\/ 20568737929542 ||| | | _______________________________________| | |28600*\/ 20568737929542 || | |28600*\/ 20568737929542 ||| | |28600*\/ 20568737929542 ||
|/ ___\ / ________________ | |/ ___\ / ________________ | | |/ ___\ / ________________ | |atan|------------------------|| |atan|------------------------||| | |/ ___\ / ________________ | |atan|------------------------|| |atan|------------------------||| |atan|------------------------||
_______________________________________ || 1 I*\/ 3 | / 21752051047 13*I*\/ 20568737929542 | || 1 I*\/ 3 | / 21752051047 13*I*\/ 20568737929542 | | || 1 I*\/ 3 | / 21752051047 13*I*\/ 20568737929542 | __________ | \ 21752051047 /| __________ | \ 21752051047 /|| | || 1 I*\/ 3 | / 21752051047 13*I*\/ 20568737929542 | __________ | \ 21752051047 /| __________ | \ 21752051047 /|| __________ | \ 21752051047 /|
/ ________________ ||- - + -------|*3 / ----------- + ----------------------- | ||- - - -------|*3 / ----------- + ----------------------- | | ||- - + -------|*3 / ----------- + ----------------------- | \/ 25861969 *sin|------------------------------| \/ 77585907 *cos|------------------------------|| | ||- - - -------|*3 / ----------- + ----------------------- | \/ 25861969 *sin|------------------------------| \/ 77585907 *cos|------------------------------|| \/ 25861969 *cos|------------------------------|
21189 / 21752051047 13*I*\/ 20568737929542 25861969 \\ 2 2 / \/ 10648000000 4840000 / \\ 2 2 / \/ 10648000000 4840000 / | \\ 2 2 / \/ 10648000000 4840000 / \ 3 / \ 3 /| | \\ 2 2 / \/ 10648000000 4840000 / \ 3 / \ 3 /| \ 3 /
----- + 3 / ----------- + ----------------------- + ---------------------------------------------------- + ------------------------------------------------------------------------- + ------------------------------------------------------------------------- + I*|------------------------------------------------------------------------- - ------------------------------------------------ + ------------------------------------------------| + I*|------------------------------------------------------------------------- - ------------------------------------------------ - ------------------------------------------------| - ------------------------------------------------
2200 \/ 10648000000 4840000 _______________________________________ 4840000 4840000 \ 4840000 4400 4400 / \ 4840000 4400 4400 / 2200
/ ________________
/ 21752051047 13*I*\/ 20568737929542
4840000*3 / ----------- + -----------------------
\/ 10648000000 4840000
$$- \frac{\sqrt{25861969} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{2200} + \frac{25861969 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} + \frac{25861969 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} + \frac{21189}{2200} + \frac{25861969}{4840000 \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}} + i \left(- \frac{\sqrt{77585907} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} - \frac{\sqrt{25861969} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{25861969 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000}\right) + i \left(\frac{25861969 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} - \frac{\sqrt{25861969} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{\sqrt{77585907} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400}\right) + \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}$$
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \
| 25861969*re|------------------------------------------------------------| |25861969*im|------------------------------------------------------------| / / ________________\\ / / ________________\\| / / ________________\\ / / ________________\\| | 25861969*re|------------------------------------------------------------| |25861969*im|------------------------------------------------------------| / / ________________\\ / / ________________\\| / / ________________\\ / / ________________\\|
| | _______________________________________| | | _______________________________________| | |28600*\/ 20568737929542 || | |28600*\/ 20568737929542 ||| | |28600*\/ 20568737929542 || | |28600*\/ 20568737929542 ||| | | _______________________________________| | | _______________________________________| | |28600*\/ 20568737929542 || | |28600*\/ 20568737929542 ||| | |28600*\/ 20568737929542 || | |28600*\/ 20568737929542 |||
| |/ ___\ / ________________ | | |/ ___\ / ________________ | |atan|------------------------|| |atan|------------------------||| |atan|------------------------|| |atan|------------------------||| | |/ ___\ / ________________ | | |/ ___\ / ________________ | |atan|------------------------|| |atan|------------------------||| |atan|------------------------|| |atan|------------------------|||
| || 1 I*\/ 3 | / 21752051047 13*I*\/ 20568737929542 | | || 1 I*\/ 3 | / 21752051047 13*I*\/ 20568737929542 | __________ | \ 21752051047 /| __________ | \ 21752051047 /|| __________ | \ 21752051047 /| __________ | \ 21752051047 /|| | || 1 I*\/ 3 | / 21752051047 13*I*\/ 20568737929542 | | || 1 I*\/ 3 | / 21752051047 13*I*\/ 20568737929542 | __________ | \ 21752051047 /| __________ | \ 21752051047 /|| __________ | \ 21752051047 /| __________ | \ 21752051047 /|| / _______________________________________ \
| ||- - - -------|*3 / ----------- + ----------------------- | | ||- - - -------|*3 / ----------- + ----------------------- | \/ 25861969 *sin|------------------------------| \/ 77585907 *cos|------------------------------|| \/ 25861969 *cos|------------------------------| \/ 77585907 *sin|------------------------------|| | ||- - + -------|*3 / ----------- + ----------------------- | | ||- - + -------|*3 / ----------- + ----------------------- | \/ 25861969 *sin|------------------------------| \/ 77585907 *cos|------------------------------|| \/ 25861969 *cos|------------------------------| \/ 77585907 *sin|------------------------------|| | / ________________ |
|7063 \\ 2 2 / \/ 10648000000 4840000 / | \\ 2 2 / \/ 10648000000 4840000 / \ 3 / \ 3 /| \ 3 / \ 3 /| |7063 \\ 2 2 / \/ 10648000000 4840000 / | \\ 2 2 / \/ 10648000000 4840000 / \ 3 / \ 3 /| \ 3 / \ 3 /| |7063 / 21752051047 13*I*\/ 20568737929542 25861969 |
|---- + ------------------------------------------------------------------------- + I*|------------------------------------------------------------------------- - ------------------------------------------------ - ------------------------------------------------| - ------------------------------------------------ + ------------------------------------------------|*|---- + ------------------------------------------------------------------------- + I*|------------------------------------------------------------------------- - ------------------------------------------------ + ------------------------------------------------| - ------------------------------------------------ - ------------------------------------------------|*|---- + 3 / ----------- + ----------------------- + ----------------------------------------------------|
\2200 4840000 \ 4840000 4400 4400 / 4400 4400 / \2200 4840000 \ 4840000 4400 4400 / 4400 4400 / |2200 \/ 10648000000 4840000 _______________________________________|
| / ________________ |
| / 21752051047 13*I*\/ 20568737929542 |
| 4840000*3 / ----------- + ----------------------- |
\ \/ 10648000000 4840000 /
$$\left(- \frac{\sqrt{25861969} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{25861969 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} + \frac{\sqrt{77585907} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{7063}{2200} + i \left(- \frac{\sqrt{77585907} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} - \frac{\sqrt{25861969} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{25861969 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000}\right)\right) \left(\frac{25861969 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} - \frac{\sqrt{25861969} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} - \frac{\sqrt{77585907} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{7063}{2200} + i \left(\frac{25861969 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} - \frac{\sqrt{25861969} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{\sqrt{77585907} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400}\right)\right) \left(\frac{7063}{2200} + \frac{25861969}{4840000 \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}} + \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}\right)$$
=
/ / / ________________\\ / / ________________\\\
| | |28600*\/ 20568737929542 || | |28600*\/ 20568737929542 |||
/ __________________________________________ / __________________________________________\\ | |2*atan|------------------------|| |atan|------------------------|||
| 3 / ________________ | 3 / ________________ || | | \ 21752051047 /| __________ | \ 21752051047 /||
\25861969 + \/ 21752051047 + 28600*I*\/ 20568737929542 *\7063 + \/ 21752051047 + 28600*I*\/ 20568737929542 //*|24024000 + 51723938*cos|--------------------------------| - 14126*\/ 25861969 *cos|------------------------------||
\ \ 3 / \ 3 //
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__________________________________________
3 / ________________
10648000000*\/ 21752051047 + 28600*I*\/ 20568737929542
$$\frac{\left(25861969 + \left(7063 + \sqrt[3]{21752051047 + 28600 \sqrt{20568737929542} i}\right) \sqrt[3]{21752051047 + 28600 \sqrt{20568737929542} i}\right) \left(- 14126 \sqrt{25861969} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)} + 24024000 + 51723938 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}\right)}{10648000000 \sqrt[3]{21752051047 + 28600 \sqrt{20568737929542} i}}$$
(25861969 + (21752051047 + 28600*i*sqrt(20568737929542))^(1/3)*(7063 + (21752051047 + 28600*i*sqrt(20568737929542))^(1/3)))*(24024000 + 51723938*cos(2*atan(28600*sqrt(20568737929542)/21752051047)/3) - 14126*sqrt(25861969)*cos(atan(28600*sqrt(20568737929542)/21752051047)/3))/(10648000000*(21752051047 + 28600*i*sqrt(20568737929542))^(1/3))
Respuesta numérica
[src]
x1 = -0.659213334678267
x2 = 2.95453543063743
x3 = 7.33604154040447
x3 = 7.33604154040447