Sr Examen
(3,28+7,84*(x+1,12)^2+0.058x^3)/540-1.12-x/2=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2
/ 28\
196*|x + --| 3
82 \ 25/ 29*x
-- + ------------- + -----
25 25 500 28 x
-------------------------- - -- - - = 0
540 25 2
$$- \frac{x}{2} + \left(\frac{\frac{29 x^{3}}{500} + \left(\frac{196 \left(x + \frac{28}{25}\right)^{2}}{25} + \frac{82}{25}\right)}{540} - \frac{28}{25}\right) = 0$$
Respuesta rápida
[src]
/ 1 \ / / 1 \ \
65868676*re|-------------------------------------------------------------------| | 65868676*im|-------------------------------------------------------------------| / / ______________________\\ / / ______________________\\| / / ______________________\\ / / ______________________\\
| ______________________________________________| | | ______________________________________________| | |261*\/ 50762248116872987919 || | |261*\/ 50762248116872987919 ||| | |261*\/ 50762248116872987919 || | |261*\/ 50762248116872987919 ||
|/ ___\ / ______________________ | | |/ ___\ / ______________________ | |atan|----------------------------|| |atan|----------------------------||| |atan|----------------------------|| |atan|----------------------------||
|| 1 I*\/ 3 | / 3795191602099 9*I*\/ 50762248116872987919 | | || 1 I*\/ 3 | / 3795191602099 9*I*\/ 50762248116872987919 | ___________ | \ 3795191602099 /| ___________ | \ 3795191602099 /|| ___________ | \ 3795191602099 /| ___________ | \ 3795191602099 /|
||- - - -------|*3 / ------------- + ---------------------------- | | ||- - - -------|*3 / ------------- + ---------------------------- | \/ 164671690 *sin|----------------------------------| \/ 494015070 *cos|----------------------------------|| \/ 494015070 *sin|----------------------------------| \/ 164671690 *cos|----------------------------------|
3920 \\ 2 2 / \/ 6097250 210250 / | \\ 2 2 / \/ 6097250 210250 / \ 3 / \ 3 /| \ 3 / \ 3 /
x1 = - ---- - -------------------------------------------------------------------------------- + I*|- -------------------------------------------------------------------------------- + ----------------------------------------------------- + -----------------------------------------------------| - ----------------------------------------------------- + -----------------------------------------------------
87 12615 \ 12615 435 435 / 435 435
$$x_{1} = - \frac{3920}{87} - \frac{\sqrt{494015070} \sin{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} - \frac{65868676 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}\right)}}{12615} + \frac{\sqrt{164671690} \cos{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} + i \left(- \frac{65868676 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}\right)}}{12615} + \frac{\sqrt{164671690} \sin{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} + \frac{\sqrt{494015070} \cos{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435}\right)$$
/ 1 \ / / 1 \ \
65868676*re|-------------------------------------------------------------------| | 65868676*im|-------------------------------------------------------------------| / / ______________________\\ / / ______________________\\| / / ______________________\\ / / ______________________\\
| ______________________________________________| | | ______________________________________________| | |261*\/ 50762248116872987919 || | |261*\/ 50762248116872987919 ||| | |261*\/ 50762248116872987919 || | |261*\/ 50762248116872987919 ||
|/ ___\ / ______________________ | | |/ ___\ / ______________________ | |atan|----------------------------|| |atan|----------------------------||| |atan|----------------------------|| |atan|----------------------------||
|| 1 I*\/ 3 | / 3795191602099 9*I*\/ 50762248116872987919 | | || 1 I*\/ 3 | / 3795191602099 9*I*\/ 50762248116872987919 | ___________ | \ 3795191602099 /| ___________ | \ 3795191602099 /|| ___________ | \ 3795191602099 /| ___________ | \ 3795191602099 /|
||- - + -------|*3 / ------------- + ---------------------------- | | ||- - + -------|*3 / ------------- + ---------------------------- | \/ 494015070 *cos|----------------------------------| \/ 164671690 *sin|----------------------------------|| \/ 164671690 *cos|----------------------------------| \/ 494015070 *sin|----------------------------------|
3920 \\ 2 2 / \/ 6097250 210250 / | \\ 2 2 / \/ 6097250 210250 / \ 3 / \ 3 /| \ 3 / \ 3 /
x2 = - ---- - -------------------------------------------------------------------------------- + I*|- -------------------------------------------------------------------------------- - ----------------------------------------------------- + -----------------------------------------------------| + ----------------------------------------------------- + -----------------------------------------------------
87 12615 \ 12615 435 435 / 435 435
$$x_{2} = - \frac{3920}{87} + \frac{\sqrt{494015070} \sin{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} + \frac{\sqrt{164671690} \cos{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} - \frac{65868676 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}\right)}}{12615} + i \left(- \frac{\sqrt{494015070} \cos{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} + \frac{\sqrt{164671690} \sin{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} - \frac{65868676 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}\right)}}{12615}\right)$$
______________________________________________
/ ______________________
/ 3795191602099 9*I*\/ 50762248116872987919
2*3 / ------------- + ----------------------------
3920 65868676 \/ 6097250 210250
x3 = - ---- - --------------------------------------------------------- - -----------------------------------------------------
87 ______________________________________________ 3
/ ______________________
/ 3795191602099 9*I*\/ 50762248116872987919
12615*3 / ------------- + ----------------------------
\/ 6097250 210250
$$x_{3} = - \frac{3920}{87} - \frac{2 \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}{3} - \frac{65868676}{12615 \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}$$
x3 = -3920/87 - 2*(3795191602099/6097250 + 9*sqrt(50762248116872987919)*i/210250)^(1/3)/3 - 65868676/(12615*(3795191602099/6097250 + 9*sqrt(50762248116872987919)*i/210250)^(1/3))
Suma y producto de raíces
[src]
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
65868676*re|-------------------------------------------------------------------| | 65868676*im|-------------------------------------------------------------------| / / ______________________\\ / / ______________________\\| / / ______________________\\ / / ______________________\\ 65868676*re|-------------------------------------------------------------------| | 65868676*im|-------------------------------------------------------------------| / / ______________________\\ / / ______________________\\| / / ______________________\\ / / ______________________\\
| ______________________________________________| | | ______________________________________________| | |261*\/ 50762248116872987919 || | |261*\/ 50762248116872987919 ||| | |261*\/ 50762248116872987919 || | |261*\/ 50762248116872987919 || | ______________________________________________| | | ______________________________________________| | |261*\/ 50762248116872987919 || | |261*\/ 50762248116872987919 ||| | |261*\/ 50762248116872987919 || | |261*\/ 50762248116872987919 || ______________________________________________
|/ ___\ / ______________________ | | |/ ___\ / ______________________ | |atan|----------------------------|| |atan|----------------------------||| |atan|----------------------------|| |atan|----------------------------|| |/ ___\ / ______________________ | | |/ ___\ / ______________________ | |atan|----------------------------|| |atan|----------------------------||| |atan|----------------------------|| |atan|----------------------------|| / ______________________
|| 1 I*\/ 3 | / 3795191602099 9*I*\/ 50762248116872987919 | | || 1 I*\/ 3 | / 3795191602099 9*I*\/ 50762248116872987919 | ___________ | \ 3795191602099 /| ___________ | \ 3795191602099 /|| ___________ | \ 3795191602099 /| ___________ | \ 3795191602099 /| || 1 I*\/ 3 | / 3795191602099 9*I*\/ 50762248116872987919 | | || 1 I*\/ 3 | / 3795191602099 9*I*\/ 50762248116872987919 | ___________ | \ 3795191602099 /| ___________ | \ 3795191602099 /|| ___________ | \ 3795191602099 /| ___________ | \ 3795191602099 /| / 3795191602099 9*I*\/ 50762248116872987919
||- - - -------|*3 / ------------- + ---------------------------- | | ||- - - -------|*3 / ------------- + ---------------------------- | \/ 164671690 *sin|----------------------------------| \/ 494015070 *cos|----------------------------------|| \/ 494015070 *sin|----------------------------------| \/ 164671690 *cos|----------------------------------| ||- - + -------|*3 / ------------- + ---------------------------- | | ||- - + -------|*3 / ------------- + ---------------------------- | \/ 494015070 *cos|----------------------------------| \/ 164671690 *sin|----------------------------------|| \/ 164671690 *cos|----------------------------------| \/ 494015070 *sin|----------------------------------| 2*3 / ------------- + ----------------------------
3920 \\ 2 2 / \/ 6097250 210250 / | \\ 2 2 / \/ 6097250 210250 / \ 3 / \ 3 /| \ 3 / \ 3 / 3920 \\ 2 2 / \/ 6097250 210250 / | \\ 2 2 / \/ 6097250 210250 / \ 3 / \ 3 /| \ 3 / \ 3 / 3920 65868676 \/ 6097250 210250
- ---- - -------------------------------------------------------------------------------- + I*|- -------------------------------------------------------------------------------- + ----------------------------------------------------- + -----------------------------------------------------| - ----------------------------------------------------- + ----------------------------------------------------- + - ---- - -------------------------------------------------------------------------------- + I*|- -------------------------------------------------------------------------------- - ----------------------------------------------------- + -----------------------------------------------------| + ----------------------------------------------------- + ----------------------------------------------------- + - ---- - --------------------------------------------------------- - -----------------------------------------------------
87 12615 \ 12615 435 435 / 435 435 87 12615 \ 12615 435 435 / 435 435 87 ______________________________________________ 3
/ ______________________
/ 3795191602099 9*I*\/ 50762248116872987919
12615*3 / ------------- + ----------------------------
\/ 6097250 210250
$$\left(\left(- \frac{3920}{87} + \frac{\sqrt{494015070} \sin{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} + \frac{\sqrt{164671690} \cos{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} - \frac{65868676 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}\right)}}{12615} + i \left(- \frac{\sqrt{494015070} \cos{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} + \frac{\sqrt{164671690} \sin{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} - \frac{65868676 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}\right)}}{12615}\right)\right) + \left(- \frac{3920}{87} - \frac{\sqrt{494015070} \sin{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} - \frac{65868676 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}\right)}}{12615} + \frac{\sqrt{164671690} \cos{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} + i \left(- \frac{65868676 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}\right)}}{12615} + \frac{\sqrt{164671690} \sin{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} + \frac{\sqrt{494015070} \cos{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435}\right)\right)\right) + \left(- \frac{3920}{87} - \frac{2 \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}{3} - \frac{65868676}{12615 \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
65868676*re|-------------------------------------------------------------------| 65868676*re|-------------------------------------------------------------------| | 65868676*im|-------------------------------------------------------------------| / / ______________________\\ / / ______________________\\| | 65868676*im|-------------------------------------------------------------------| / / ______________________\\ / / ______________________\\| / / ______________________\\
| ______________________________________________| | ______________________________________________| ______________________________________________ | | ______________________________________________| | |261*\/ 50762248116872987919 || | |261*\/ 50762248116872987919 ||| | | ______________________________________________| | |261*\/ 50762248116872987919 || | |261*\/ 50762248116872987919 ||| | |261*\/ 50762248116872987919 ||
|/ ___\ / ______________________ | |/ ___\ / ______________________ | / ______________________ | |/ ___\ / ______________________ | |atan|----------------------------|| |atan|----------------------------||| | |/ ___\ / ______________________ | |atan|----------------------------|| |atan|----------------------------||| |atan|----------------------------||
|| 1 I*\/ 3 | / 3795191602099 9*I*\/ 50762248116872987919 | || 1 I*\/ 3 | / 3795191602099 9*I*\/ 50762248116872987919 | / 3795191602099 9*I*\/ 50762248116872987919 | || 1 I*\/ 3 | / 3795191602099 9*I*\/ 50762248116872987919 | ___________ | \ 3795191602099 /| ___________ | \ 3795191602099 /|| | || 1 I*\/ 3 | / 3795191602099 9*I*\/ 50762248116872987919 | ___________ | \ 3795191602099 /| ___________ | \ 3795191602099 /|| ___________ | \ 3795191602099 /|
||- - + -------|*3 / ------------- + ---------------------------- | ||- - - -------|*3 / ------------- + ---------------------------- | 2*3 / ------------- + ---------------------------- | ||- - + -------|*3 / ------------- + ---------------------------- | \/ 494015070 *cos|----------------------------------| \/ 164671690 *sin|----------------------------------|| | ||- - - -------|*3 / ------------- + ---------------------------- | \/ 164671690 *sin|----------------------------------| \/ 494015070 *cos|----------------------------------|| 2*\/ 164671690 *cos|----------------------------------|
3920 65868676 \\ 2 2 / \/ 6097250 210250 / \\ 2 2 / \/ 6097250 210250 / \/ 6097250 210250 | \\ 2 2 / \/ 6097250 210250 / \ 3 / \ 3 /| | \\ 2 2 / \/ 6097250 210250 / \ 3 / \ 3 /| \ 3 /
- ---- - --------------------------------------------------------- - -------------------------------------------------------------------------------- - -------------------------------------------------------------------------------- - ----------------------------------------------------- + I*|- -------------------------------------------------------------------------------- - ----------------------------------------------------- + -----------------------------------------------------| + I*|- -------------------------------------------------------------------------------- + ----------------------------------------------------- + -----------------------------------------------------| + -------------------------------------------------------
29 ______________________________________________ 12615 12615 3 \ 12615 435 435 / \ 12615 435 435 / 435
/ ______________________
/ 3795191602099 9*I*\/ 50762248116872987919
12615*3 / ------------- + ----------------------------
\/ 6097250 210250
$$- \frac{3920}{29} - \frac{65868676 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}\right)}}{12615} - \frac{65868676 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}\right)}}{12615} + \frac{2 \sqrt{164671690} \cos{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} - \frac{2 \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}{3} + i \left(- \frac{65868676 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}\right)}}{12615} + \frac{\sqrt{164671690} \sin{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} + \frac{\sqrt{494015070} \cos{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435}\right) + i \left(- \frac{\sqrt{494015070} \cos{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} + \frac{\sqrt{164671690} \sin{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} - \frac{65868676 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}\right)}}{12615}\right) - \frac{65868676}{12615 \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}$$
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \
| 65868676*re|-------------------------------------------------------------------| | 65868676*im|-------------------------------------------------------------------| / / ______________________\\ / / ______________________\\| / / ______________________\\ / / ______________________\\| | 65868676*re|-------------------------------------------------------------------| | 65868676*im|-------------------------------------------------------------------| / / ______________________\\ / / ______________________\\| / / ______________________\\ / / ______________________\\|
| | ______________________________________________| | | ______________________________________________| | |261*\/ 50762248116872987919 || | |261*\/ 50762248116872987919 ||| | |261*\/ 50762248116872987919 || | |261*\/ 50762248116872987919 ||| | | ______________________________________________| | | ______________________________________________| | |261*\/ 50762248116872987919 || | |261*\/ 50762248116872987919 ||| | |261*\/ 50762248116872987919 || | |261*\/ 50762248116872987919 ||| / ______________________________________________\
| |/ ___\ / ______________________ | | |/ ___\ / ______________________ | |atan|----------------------------|| |atan|----------------------------||| |atan|----------------------------|| |atan|----------------------------||| | |/ ___\ / ______________________ | | |/ ___\ / ______________________ | |atan|----------------------------|| |atan|----------------------------||| |atan|----------------------------|| |atan|----------------------------||| | / ______________________ |
| || 1 I*\/ 3 | / 3795191602099 9*I*\/ 50762248116872987919 | | || 1 I*\/ 3 | / 3795191602099 9*I*\/ 50762248116872987919 | ___________ | \ 3795191602099 /| ___________ | \ 3795191602099 /|| ___________ | \ 3795191602099 /| ___________ | \ 3795191602099 /|| | || 1 I*\/ 3 | / 3795191602099 9*I*\/ 50762248116872987919 | | || 1 I*\/ 3 | / 3795191602099 9*I*\/ 50762248116872987919 | ___________ | \ 3795191602099 /| ___________ | \ 3795191602099 /|| ___________ | \ 3795191602099 /| ___________ | \ 3795191602099 /|| | / 3795191602099 9*I*\/ 50762248116872987919 |
| ||- - - -------|*3 / ------------- + ---------------------------- | | ||- - - -------|*3 / ------------- + ---------------------------- | \/ 164671690 *sin|----------------------------------| \/ 494015070 *cos|----------------------------------|| \/ 494015070 *sin|----------------------------------| \/ 164671690 *cos|----------------------------------|| | ||- - + -------|*3 / ------------- + ---------------------------- | | ||- - + -------|*3 / ------------- + ---------------------------- | \/ 494015070 *cos|----------------------------------| \/ 164671690 *sin|----------------------------------|| \/ 164671690 *cos|----------------------------------| \/ 494015070 *sin|----------------------------------|| | 2*3 / ------------- + ---------------------------- |
| 3920 \\ 2 2 / \/ 6097250 210250 / | \\ 2 2 / \/ 6097250 210250 / \ 3 / \ 3 /| \ 3 / \ 3 /| | 3920 \\ 2 2 / \/ 6097250 210250 / | \\ 2 2 / \/ 6097250 210250 / \ 3 / \ 3 /| \ 3 / \ 3 /| | 3920 65868676 \/ 6097250 210250 |
|- ---- - -------------------------------------------------------------------------------- + I*|- -------------------------------------------------------------------------------- + ----------------------------------------------------- + -----------------------------------------------------| - ----------------------------------------------------- + -----------------------------------------------------|*|- ---- - -------------------------------------------------------------------------------- + I*|- -------------------------------------------------------------------------------- - ----------------------------------------------------- + -----------------------------------------------------| + ----------------------------------------------------- + -----------------------------------------------------|*|- ---- - --------------------------------------------------------- - -----------------------------------------------------|
\ 87 12615 \ 12615 435 435 / 435 435 / \ 87 12615 \ 12615 435 435 / 435 435 / | 87 ______________________________________________ 3 |
| / ______________________ |
| / 3795191602099 9*I*\/ 50762248116872987919 |
| 12615*3 / ------------- + ---------------------------- |
\ \/ 6097250 210250 /
$$\left(- \frac{3920}{87} - \frac{\sqrt{494015070} \sin{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} - \frac{65868676 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}\right)}}{12615} + \frac{\sqrt{164671690} \cos{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} + i \left(- \frac{65868676 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}\right)}}{12615} + \frac{\sqrt{164671690} \sin{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} + \frac{\sqrt{494015070} \cos{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435}\right)\right) \left(- \frac{3920}{87} + \frac{\sqrt{494015070} \sin{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} + \frac{\sqrt{164671690} \cos{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} - \frac{65868676 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}\right)}}{12615} + i \left(- \frac{\sqrt{494015070} \cos{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} + \frac{\sqrt{164671690} \sin{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}}{435} - \frac{65868676 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}\right)}}{12615}\right)\right) \left(- \frac{3920}{87} - \frac{2 \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}{3} - \frac{65868676}{12615 \sqrt[3]{\frac{3795191602099}{6097250} + \frac{9 \sqrt{50762248116872987919} i}{210250}}}\right)$$
=
/ / / ______________________\\ / / ______________________\\\
| | |261*\/ 50762248116872987919 || | |261*\/ 50762248116872987919 |||
/ ________________________________________________ / ________________________________________________\\ | |2*atan|----------------------------|| |atan|----------------------------|||
| 3 ___ 3 / ______________________ | 2/3 3 / ______________________ || | | \ 3795191602099 /| ___________ | \ 3795191602099 /||
4*\329343380*\/ 2 + \/ 3795191602099 + 261*I*\/ 50762248116872987919 *\19600 + 2 *\/ 3795191602099 + 261*I*\/ 50762248116872987919 //*|68631690 - 329343380*cos|------------------------------------| + 19600*\/ 164671690 *cos|----------------------------------||
\ \ 3 / \ 3 //
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
________________________________________________
3 / ______________________
82312875*\/ 3795191602099 + 261*I*\/ 50762248116872987919
$$\frac{4 \left(329343380 \sqrt[3]{2} + \left(19600 + 2^{\frac{2}{3}} \sqrt[3]{3795191602099 + 261 \sqrt{50762248116872987919} i}\right) \sqrt[3]{3795191602099 + 261 \sqrt{50762248116872987919} i}\right) \left(- 329343380 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)} + 68631690 + 19600 \sqrt{164671690} \cos{\left(\frac{\operatorname{atan}{\left(\frac{261 \sqrt{50762248116872987919}}{3795191602099} \right)}}{3} \right)}\right)}{82312875 \sqrt[3]{3795191602099 + 261 \sqrt{50762248116872987919} i}}$$
4*(329343380*2^(1/3) + (3795191602099 + 261*i*sqrt(50762248116872987919))^(1/3)*(19600 + 2^(2/3)*(3795191602099 + 261*i*sqrt(50762248116872987919))^(1/3)))*(68631690 - 329343380*cos(2*atan(261*sqrt(50762248116872987919)/3795191602099)/3) + 19600*sqrt(164671690)*cos(atan(261*sqrt(50762248116872987919)/3795191602099)/3))/(82312875*(3795191602099 + 261*i*sqrt(50762248116872987919))^(1/3))
Respuesta numérica
[src]
x1 = 28.7229300945236
x2 = -161.698864026473
x3 = -2.19647986115419
x3 = -2.19647986115419