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Ecuación 5(x-4)=3x-10
- Expresar {x} en función de y en la ecuación:
- 12*x+1*y=15
- -17*x-12*y=-9
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Expresiones idénticas
- x-(dos mil novecientos setenta y cuatro , sesenta y nueve /(veinticuatro *x^ dos))=- cincuenta y cinco , doscientos siete
- x menos (2974,69 dividir por (24 multiplicar por x al cuadrado )) es igual a menos 55,207
- x menos (dos mil novecientos setenta y cuatro , sesenta y nueve dividir por (veinticuatro multiplicar por x en el grado dos)) es igual a menos cincuenta y cinco , doscientos siete
- x-(2974,69/(24*x2))=-55,207
- x-2974,69/24*x2=-55,207
- x-(2974,69/(24*x²))=-55,207
- x-(2974,69/(24*x en el grado 2))=-55,207
- x-(2974,69/(24x^2))=-55,207
- x-(2974,69/(24x2))=-55,207
- x-2974,69/24x2=-55,207
- x-2974,69/24x^2=-55,207
- x-(2974,69 dividir por (24*x^2))=-55,207
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Expresiones semejantes
- x+(2974,69/(24*x^2))=-55,207
- x-(2974,69/(24*x^2))=+55,207
x-(2974,69/(24*x^2))=-55,207 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
297469 -55207
x - --------- = -------
2 1000
100*24*x
$$x - \frac{297469}{100 \cdot 24 x^{2}} = - \frac{55207}{1000}$$
Respuesta rápida
[src]
/ 1 \ / / 1 \ \
3047812849*re|---------------------------------------------------------------------| / / _____________________\\ | 3047812849*im|---------------------------------------------------------------------| / / _____________________\\ / / _____________________\\| / / _____________________\\
| ________________________________________________| | |10500*\/ 5081983841178380915 || | | ________________________________________________| | |10500*\/ 5081983841178380915 || | |10500*\/ 5081983841178380915 ||| | |10500*\/ 5081983841178380915 ||
|/ ___\ / _____________________ | |atan|-----------------------------|| | |/ ___\ / _____________________ | |atan|-----------------------------|| |atan|-----------------------------||| |atan|-----------------------------||
|| 1 I*\/ 3 | / 166587340829743 21*I*\/ 5081983841178380915 | | \ 166587340829743 /| | || 1 I*\/ 3 | / 166587340829743 21*I*\/ 5081983841178380915 | | \ 166587340829743 /| ___ | \ 166587340829743 /|| ___ | \ 166587340829743 /|
||- - - -------|*3 / --------------- + ---------------------------- | 55207*cos|-----------------------------------| | ||- - - -------|*3 / --------------- + ---------------------------- | 55207*sin|-----------------------------------| 55207*\/ 3 *cos|-----------------------------------|| 55207*\/ 3 *sin|-----------------------------------|
55207 \\ 2 2 / \/ 1000000000 2000000 / \ 3 / | \\ 2 2 / \/ 1000000000 2000000 / \ 3 / \ 3 /| \ 3 /
x1 = - ----- - ------------------------------------------------------------------------------------ + ---------------------------------------------- + I*|- ------------------------------------------------------------------------------------ + ---------------------------------------------- + ----------------------------------------------------| - ----------------------------------------------------
3000 3000000 6000 \ 3000000 6000 6000 / 6000
$$x_{1} = - \frac{55207}{3000} - \frac{55207 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} - \frac{3047812849 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + \frac{55207 \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + i \left(- \frac{3047812849 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + \frac{55207 \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000}\right)$$
/ 1 \ / / 1 \ \
3047812849*re|---------------------------------------------------------------------| / / _____________________\\ | 3047812849*im|---------------------------------------------------------------------| / / _____________________\\ / / _____________________\\| / / _____________________\\
| ________________________________________________| | |10500*\/ 5081983841178380915 || | | ________________________________________________| | |10500*\/ 5081983841178380915 || | |10500*\/ 5081983841178380915 ||| | |10500*\/ 5081983841178380915 ||
|/ ___\ / _____________________ | |atan|-----------------------------|| | |/ ___\ / _____________________ | |atan|-----------------------------|| |atan|-----------------------------||| |atan|-----------------------------||
|| 1 I*\/ 3 | / 166587340829743 21*I*\/ 5081983841178380915 | | \ 166587340829743 /| | || 1 I*\/ 3 | / 166587340829743 21*I*\/ 5081983841178380915 | | \ 166587340829743 /| ___ | \ 166587340829743 /|| ___ | \ 166587340829743 /|
||- - + -------|*3 / --------------- + ---------------------------- | 55207*cos|-----------------------------------| | ||- - + -------|*3 / --------------- + ---------------------------- | 55207*sin|-----------------------------------| 55207*\/ 3 *cos|-----------------------------------|| 55207*\/ 3 *sin|-----------------------------------|
55207 \\ 2 2 / \/ 1000000000 2000000 / \ 3 / | \\ 2 2 / \/ 1000000000 2000000 / \ 3 / \ 3 /| \ 3 /
x2 = - ----- - ------------------------------------------------------------------------------------ + ---------------------------------------------- + I*|- ------------------------------------------------------------------------------------ + ---------------------------------------------- - ----------------------------------------------------| + ----------------------------------------------------
3000 3000000 6000 \ 3000000 6000 6000 / 6000
$$x_{2} = - \frac{55207}{3000} + \frac{55207 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} - \frac{3047812849 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + i \left(- \frac{55207 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} - \frac{3047812849 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000}\right)$$
________________________________________________
/ _____________________
/ 166587340829743 21*I*\/ 5081983841178380915
3 / --------------- + ----------------------------
55207 3047812849 \/ 1000000000 2000000
x3 = - ----- - ------------------------------------------------------------- - -----------------------------------------------------
3000 ________________________________________________ 3
/ _____________________
/ 166587340829743 21*I*\/ 5081983841178380915
3000000*3 / --------------- + ----------------------------
\/ 1000000000 2000000
$$x_{3} = - \frac{55207}{3000} - \frac{\sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}{3} - \frac{3047812849}{3000000 \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}$$
x3 = -55207/3000 - (166587340829743/1000000000 + 21*sqrt(5081983841178380915)*i/2000000)^(1/3)/3 - 3047812849/(3000000*(166587340829743/1000000000 + 21*sqrt(5081983841178380915)*i/2000000)^(1/3))
Suma y producto de raíces
[src]
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
3047812849*re|---------------------------------------------------------------------| / / _____________________\\ | 3047812849*im|---------------------------------------------------------------------| / / _____________________\\ / / _____________________\\| / / _____________________\\ 3047812849*re|---------------------------------------------------------------------| / / _____________________\\ | 3047812849*im|---------------------------------------------------------------------| / / _____________________\\ / / _____________________\\| / / _____________________\\
| ________________________________________________| | |10500*\/ 5081983841178380915 || | | ________________________________________________| | |10500*\/ 5081983841178380915 || | |10500*\/ 5081983841178380915 ||| | |10500*\/ 5081983841178380915 || | ________________________________________________| | |10500*\/ 5081983841178380915 || | | ________________________________________________| | |10500*\/ 5081983841178380915 || | |10500*\/ 5081983841178380915 ||| | |10500*\/ 5081983841178380915 || ________________________________________________
|/ ___\ / _____________________ | |atan|-----------------------------|| | |/ ___\ / _____________________ | |atan|-----------------------------|| |atan|-----------------------------||| |atan|-----------------------------|| |/ ___\ / _____________________ | |atan|-----------------------------|| | |/ ___\ / _____________________ | |atan|-----------------------------|| |atan|-----------------------------||| |atan|-----------------------------|| / _____________________
|| 1 I*\/ 3 | / 166587340829743 21*I*\/ 5081983841178380915 | | \ 166587340829743 /| | || 1 I*\/ 3 | / 166587340829743 21*I*\/ 5081983841178380915 | | \ 166587340829743 /| ___ | \ 166587340829743 /|| ___ | \ 166587340829743 /| || 1 I*\/ 3 | / 166587340829743 21*I*\/ 5081983841178380915 | | \ 166587340829743 /| | || 1 I*\/ 3 | / 166587340829743 21*I*\/ 5081983841178380915 | | \ 166587340829743 /| ___ | \ 166587340829743 /|| ___ | \ 166587340829743 /| / 166587340829743 21*I*\/ 5081983841178380915
||- - - -------|*3 / --------------- + ---------------------------- | 55207*cos|-----------------------------------| | ||- - - -------|*3 / --------------- + ---------------------------- | 55207*sin|-----------------------------------| 55207*\/ 3 *cos|-----------------------------------|| 55207*\/ 3 *sin|-----------------------------------| ||- - + -------|*3 / --------------- + ---------------------------- | 55207*cos|-----------------------------------| | ||- - + -------|*3 / --------------- + ---------------------------- | 55207*sin|-----------------------------------| 55207*\/ 3 *cos|-----------------------------------|| 55207*\/ 3 *sin|-----------------------------------| 3 / --------------- + ----------------------------
55207 \\ 2 2 / \/ 1000000000 2000000 / \ 3 / | \\ 2 2 / \/ 1000000000 2000000 / \ 3 / \ 3 /| \ 3 / 55207 \\ 2 2 / \/ 1000000000 2000000 / \ 3 / | \\ 2 2 / \/ 1000000000 2000000 / \ 3 / \ 3 /| \ 3 / 55207 3047812849 \/ 1000000000 2000000
- ----- - ------------------------------------------------------------------------------------ + ---------------------------------------------- + I*|- ------------------------------------------------------------------------------------ + ---------------------------------------------- + ----------------------------------------------------| - ---------------------------------------------------- + - ----- - ------------------------------------------------------------------------------------ + ---------------------------------------------- + I*|- ------------------------------------------------------------------------------------ + ---------------------------------------------- - ----------------------------------------------------| + ---------------------------------------------------- + - ----- - ------------------------------------------------------------- - -----------------------------------------------------
3000 3000000 6000 \ 3000000 6000 6000 / 6000 3000 3000000 6000 \ 3000000 6000 6000 / 6000 3000 ________________________________________________ 3
/ _____________________
/ 166587340829743 21*I*\/ 5081983841178380915
3000000*3 / --------------- + ----------------------------
\/ 1000000000 2000000
$$\left(\left(- \frac{55207}{3000} - \frac{55207 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} - \frac{3047812849 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + \frac{55207 \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + i \left(- \frac{3047812849 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + \frac{55207 \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000}\right)\right) + \left(- \frac{55207}{3000} + \frac{55207 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} - \frac{3047812849 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + i \left(- \frac{55207 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} - \frac{3047812849 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000}\right)\right)\right) + \left(- \frac{55207}{3000} - \frac{\sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}{3} - \frac{3047812849}{3000000 \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
3047812849*re|---------------------------------------------------------------------| 3047812849*re|---------------------------------------------------------------------| / / _____________________\\ | 3047812849*im|---------------------------------------------------------------------| / / _____________________\\ / / _____________________\\| | 3047812849*im|---------------------------------------------------------------------| / / _____________________\\ / / _____________________\\|
| ________________________________________________| | ________________________________________________| ________________________________________________ | |10500*\/ 5081983841178380915 || | | ________________________________________________| | |10500*\/ 5081983841178380915 || | |10500*\/ 5081983841178380915 ||| | | ________________________________________________| | |10500*\/ 5081983841178380915 || | |10500*\/ 5081983841178380915 |||
|/ ___\ / _____________________ | |/ ___\ / _____________________ | / _____________________ |atan|-----------------------------|| | |/ ___\ / _____________________ | |atan|-----------------------------|| |atan|-----------------------------||| | |/ ___\ / _____________________ | |atan|-----------------------------|| |atan|-----------------------------|||
|| 1 I*\/ 3 | / 166587340829743 21*I*\/ 5081983841178380915 | || 1 I*\/ 3 | / 166587340829743 21*I*\/ 5081983841178380915 | / 166587340829743 21*I*\/ 5081983841178380915 | \ 166587340829743 /| | || 1 I*\/ 3 | / 166587340829743 21*I*\/ 5081983841178380915 | | \ 166587340829743 /| ___ | \ 166587340829743 /|| | || 1 I*\/ 3 | / 166587340829743 21*I*\/ 5081983841178380915 | | \ 166587340829743 /| ___ | \ 166587340829743 /||
||- - + -------|*3 / --------------- + ---------------------------- | ||- - - -------|*3 / --------------- + ---------------------------- | 3 / --------------- + ---------------------------- 55207*cos|-----------------------------------| | ||- - + -------|*3 / --------------- + ---------------------------- | 55207*sin|-----------------------------------| 55207*\/ 3 *cos|-----------------------------------|| | ||- - - -------|*3 / --------------- + ---------------------------- | 55207*sin|-----------------------------------| 55207*\/ 3 *cos|-----------------------------------||
55207 3047812849 \\ 2 2 / \/ 1000000000 2000000 / \\ 2 2 / \/ 1000000000 2000000 / \/ 1000000000 2000000 \ 3 / | \\ 2 2 / \/ 1000000000 2000000 / \ 3 / \ 3 /| | \\ 2 2 / \/ 1000000000 2000000 / \ 3 / \ 3 /|
- ----- - ------------------------------------------------------------- - ------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------ - ----------------------------------------------------- + ---------------------------------------------- + I*|- ------------------------------------------------------------------------------------ + ---------------------------------------------- - ----------------------------------------------------| + I*|- ------------------------------------------------------------------------------------ + ---------------------------------------------- + ----------------------------------------------------|
1000 ________________________________________________ 3000000 3000000 3 3000 \ 3000000 6000 6000 / \ 3000000 6000 6000 /
/ _____________________
/ 166587340829743 21*I*\/ 5081983841178380915
3000000*3 / --------------- + ----------------------------
\/ 1000000000 2000000
$$- \frac{55207}{1000} - \frac{3047812849 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} - \frac{3047812849 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + \frac{55207 \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{3000} - \frac{\sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}{3} + i \left(- \frac{55207 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} - \frac{3047812849 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000}\right) + i \left(- \frac{3047812849 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + \frac{55207 \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000}\right) - \frac{3047812849}{3000000 \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}$$
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \
| 3047812849*re|---------------------------------------------------------------------| / / _____________________\\ | 3047812849*im|---------------------------------------------------------------------| / / _____________________\\ / / _____________________\\| / / _____________________\\| | 3047812849*re|---------------------------------------------------------------------| / / _____________________\\ | 3047812849*im|---------------------------------------------------------------------| / / _____________________\\ / / _____________________\\| / / _____________________\\|
| | ________________________________________________| | |10500*\/ 5081983841178380915 || | | ________________________________________________| | |10500*\/ 5081983841178380915 || | |10500*\/ 5081983841178380915 ||| | |10500*\/ 5081983841178380915 ||| | | ________________________________________________| | |10500*\/ 5081983841178380915 || | | ________________________________________________| | |10500*\/ 5081983841178380915 || | |10500*\/ 5081983841178380915 ||| | |10500*\/ 5081983841178380915 ||| / ________________________________________________\
| |/ ___\ / _____________________ | |atan|-----------------------------|| | |/ ___\ / _____________________ | |atan|-----------------------------|| |atan|-----------------------------||| |atan|-----------------------------||| | |/ ___\ / _____________________ | |atan|-----------------------------|| | |/ ___\ / _____________________ | |atan|-----------------------------|| |atan|-----------------------------||| |atan|-----------------------------||| | / _____________________ |
| || 1 I*\/ 3 | / 166587340829743 21*I*\/ 5081983841178380915 | | \ 166587340829743 /| | || 1 I*\/ 3 | / 166587340829743 21*I*\/ 5081983841178380915 | | \ 166587340829743 /| ___ | \ 166587340829743 /|| ___ | \ 166587340829743 /|| | || 1 I*\/ 3 | / 166587340829743 21*I*\/ 5081983841178380915 | | \ 166587340829743 /| | || 1 I*\/ 3 | / 166587340829743 21*I*\/ 5081983841178380915 | | \ 166587340829743 /| ___ | \ 166587340829743 /|| ___ | \ 166587340829743 /|| | / 166587340829743 21*I*\/ 5081983841178380915 |
| ||- - - -------|*3 / --------------- + ---------------------------- | 55207*cos|-----------------------------------| | ||- - - -------|*3 / --------------- + ---------------------------- | 55207*sin|-----------------------------------| 55207*\/ 3 *cos|-----------------------------------|| 55207*\/ 3 *sin|-----------------------------------|| | ||- - + -------|*3 / --------------- + ---------------------------- | 55207*cos|-----------------------------------| | ||- - + -------|*3 / --------------- + ---------------------------- | 55207*sin|-----------------------------------| 55207*\/ 3 *cos|-----------------------------------|| 55207*\/ 3 *sin|-----------------------------------|| | 3 / --------------- + ---------------------------- |
| 55207 \\ 2 2 / \/ 1000000000 2000000 / \ 3 / | \\ 2 2 / \/ 1000000000 2000000 / \ 3 / \ 3 /| \ 3 /| | 55207 \\ 2 2 / \/ 1000000000 2000000 / \ 3 / | \\ 2 2 / \/ 1000000000 2000000 / \ 3 / \ 3 /| \ 3 /| | 55207 3047812849 \/ 1000000000 2000000 |
|- ----- - ------------------------------------------------------------------------------------ + ---------------------------------------------- + I*|- ------------------------------------------------------------------------------------ + ---------------------------------------------- + ----------------------------------------------------| - ----------------------------------------------------|*|- ----- - ------------------------------------------------------------------------------------ + ---------------------------------------------- + I*|- ------------------------------------------------------------------------------------ + ---------------------------------------------- - ----------------------------------------------------| + ----------------------------------------------------|*|- ----- - ------------------------------------------------------------- - -----------------------------------------------------|
\ 3000 3000000 6000 \ 3000000 6000 6000 / 6000 / \ 3000 3000000 6000 \ 3000000 6000 6000 / 6000 / | 3000 ________________________________________________ 3 |
| / _____________________ |
| / 166587340829743 21*I*\/ 5081983841178380915 |
| 3000000*3 / --------------- + ---------------------------- |
\ \/ 1000000000 2000000 /
$$\left(- \frac{55207}{3000} - \frac{55207 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} - \frac{3047812849 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + \frac{55207 \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + i \left(- \frac{3047812849 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + \frac{55207 \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000}\right)\right) \left(- \frac{55207}{3000} + \frac{55207 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} - \frac{3047812849 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + i \left(- \frac{55207 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} - \frac{3047812849 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000}\right)\right) \left(- \frac{55207}{3000} - \frac{\sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}{3} - \frac{3047812849}{3000000 \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)$$
=
/ / / _____________________\\ / / _____________________\\\
| | |10500*\/ 5081983841178380915 || | |10500*\/ 5081983841178380915 |||
/ ___________________________________________________ / ___________________________________________________\\ | |2*atan|-----------------------------|| |atan|-----------------------------|||
| 3 / _____________________ | 3 / _____________________ || | | \ 166587340829743 /| | \ 166587340829743 /||
3047812849*\3047812849 + \/ 166587340829743 + 10500*I*\/ 5081983841178380915 *\55207 + \/ 166587340829743 + 10500*I*\/ 5081983841178380915 //*|- cos|-------------------------------------| + cos|-----------------------------------||
\ \ 3 / \ 3 //
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
___________________________________________________
3 / _____________________
13500000000*\/ 166587340829743 + 10500*I*\/ 5081983841178380915
$$\frac{3047812849 \left(3047812849 + \left(55207 + \sqrt[3]{166587340829743 + 10500 \sqrt{5081983841178380915} i}\right) \sqrt[3]{166587340829743 + 10500 \sqrt{5081983841178380915} i}\right) \left(- \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)} + \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}\right)}{13500000000 \sqrt[3]{166587340829743 + 10500 \sqrt{5081983841178380915} i}}$$
3047812849*(3047812849 + (166587340829743 + 10500*i*sqrt(5081983841178380915))^(1/3)*(55207 + (166587340829743 + 10500*i*sqrt(5081983841178380915))^(1/3)))*(-cos(2*atan(10500*sqrt(5081983841178380915)/166587340829743)/3) + cos(atan(10500*sqrt(5081983841178380915)/166587340829743)/3))/(13500000000*(166587340829743 + 10500*i*sqrt(5081983841178380915))^(1/3))
Respuesta numérica
[src]
x1 = -1.5194217142267
x2 = -55.1662729283778
x3 = 1.4786946426045
x3 = 1.4786946426045