Sr Examen
x^3-63,2*x+100=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3 316*x
x - ----- + 100 = 0
5
$$\left(x^{3} - \frac{316 x}{5}\right) + 100 = 0$$
Teorema de Cardano-Vieta
es ecuación cúbica reducida
$$p x^{2} + q x + v + x^{3} = 0$$
donde
$$p = \frac{b}{a}$$
$$p = 0$$
$$q = \frac{c}{a}$$
$$q = - \frac{316}{5}$$
$$v = \frac{d}{a}$$
$$v = 100$$
Fórmulas de Cardano-Vieta
$$x_{1} + x_{2} + x_{3} = - p$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = q$$
$$x_{1} x_{2} x_{3} = v$$
$$x_{1} + x_{2} + x_{3} = 0$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = - \frac{316}{5}$$
$$x_{1} x_{2} x_{3} = 100$$
$$p x^{2} + q x + v + x^{3} = 0$$
donde
$$p = \frac{b}{a}$$
$$p = 0$$
$$q = \frac{c}{a}$$
$$q = - \frac{316}{5}$$
$$v = \frac{d}{a}$$
$$v = 100$$
Fórmulas de Cardano-Vieta
$$x_{1} + x_{2} + x_{3} = - p$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = q$$
$$x_{1} x_{2} x_{3} = v$$
$$x_{1} + x_{2} + x_{3} = 0$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = - \frac{316}{5}$$
$$x_{1} x_{2} x_{3} = 100$$
Respuesta rápida
[src]
/ 1 \ / / 1 \ \
316*re|----------------------------------------------| | 316*im|----------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\
| _________________________ | | | _________________________ | | |19*\/ 240135 || | |19*\/ 240135 ||| | |19*\/ 240135 || | |19*\/ 240135 ||
| / ________ / ___\| | | / ________ / ___\| |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------||
| / 114*I*\/ 240135 | 1 I*\/ 3 || | | / 114*I*\/ 240135 | 1 I*\/ 3 || _____ | \ 5625 /| ______ | \ 5625 /|| _____ | \ 5625 /| ______ | \ 5625 /|
|3 / 1350 + ---------------- *|- - - -------|| | |3 / 1350 + ---------------- *|- - - -------|| \/ 395 *cos|-------------------| \/ 1185 *sin|-------------------|| \/ 395 *sin|-------------------| \/ 1185 *cos|-------------------|
\\/ 25 \ 2 2 // | \\/ 25 \ 2 2 // \ 3 / \ 3 /| \ 3 / \ 3 /
x1 = - ------------------------------------------------------ + I*|- ------------------------------------------------------ + -------------------------------- + ---------------------------------| - -------------------------------- + ---------------------------------
5 \ 5 5 15 / 5 15
$$x_{1} = - \frac{\sqrt{395} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5} - \frac{316 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + \frac{\sqrt{1185} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} + i \left(- \frac{316 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + \frac{\sqrt{1185} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} + \frac{\sqrt{395} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5}\right)$$
/ 1 \ / / 1 \ \
316*re|----------------------------------------------| | 316*im|----------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\
| _________________________ | | | _________________________ | | |19*\/ 240135 || | |19*\/ 240135 ||| | |19*\/ 240135 || | |19*\/ 240135 ||
| / ________ / ___\| | | / ________ / ___\| |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------||
| / 114*I*\/ 240135 | 1 I*\/ 3 || | | / 114*I*\/ 240135 | 1 I*\/ 3 || _____ | \ 5625 /| ______ | \ 5625 /|| _____ | \ 5625 /| ______ | \ 5625 /|
|3 / 1350 + ---------------- *|- - + -------|| | |3 / 1350 + ---------------- *|- - + -------|| \/ 395 *cos|-------------------| \/ 1185 *sin|-------------------|| \/ 395 *sin|-------------------| \/ 1185 *cos|-------------------|
\\/ 25 \ 2 2 // | \\/ 25 \ 2 2 // \ 3 / \ 3 /| \ 3 / \ 3 /
x2 = - ------------------------------------------------------ + I*|- ------------------------------------------------------ - -------------------------------- + ---------------------------------| + -------------------------------- + ---------------------------------
5 \ 5 5 15 / 5 15
$$x_{2} = \frac{\sqrt{395} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5} + \frac{\sqrt{1185} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} - \frac{316 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + i \left(- \frac{\sqrt{395} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5} + \frac{\sqrt{1185} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} - \frac{316 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5}\right)$$
_________________________
/ ________
/ 114*I*\/ 240135
3 / 1350 + ----------------
316 \/ 25
x3 = - -------------------------------- - ------------------------------
_________________________ 3
/ ________
/ 114*I*\/ 240135
5*3 / 1350 + ----------------
\/ 25
$$x_{3} = - \frac{\sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}{3} - \frac{316}{5 \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}$$
x3 = -(1350 + 114*sqrt(240135)*i/25)^(1/3)/3 - 316/(5*(1350 + 114*sqrt(240135)*i/25)^(1/3))
Suma y producto de raíces
[src]
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
316*re|----------------------------------------------| | 316*im|----------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\ 316*re|----------------------------------------------| | 316*im|----------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\
| _________________________ | | | _________________________ | | |19*\/ 240135 || | |19*\/ 240135 ||| | |19*\/ 240135 || | |19*\/ 240135 || | _________________________ | | | _________________________ | | |19*\/ 240135 || | |19*\/ 240135 ||| | |19*\/ 240135 || | |19*\/ 240135 || _________________________
| / ________ / ___\| | | / ________ / ___\| |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------|| | / ________ / ___\| | | / ________ / ___\| |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------|| / ________
| / 114*I*\/ 240135 | 1 I*\/ 3 || | | / 114*I*\/ 240135 | 1 I*\/ 3 || _____ | \ 5625 /| ______ | \ 5625 /|| _____ | \ 5625 /| ______ | \ 5625 /| | / 114*I*\/ 240135 | 1 I*\/ 3 || | | / 114*I*\/ 240135 | 1 I*\/ 3 || _____ | \ 5625 /| ______ | \ 5625 /|| _____ | \ 5625 /| ______ | \ 5625 /| / 114*I*\/ 240135
|3 / 1350 + ---------------- *|- - - -------|| | |3 / 1350 + ---------------- *|- - - -------|| \/ 395 *cos|-------------------| \/ 1185 *sin|-------------------|| \/ 395 *sin|-------------------| \/ 1185 *cos|-------------------| |3 / 1350 + ---------------- *|- - + -------|| | |3 / 1350 + ---------------- *|- - + -------|| \/ 395 *cos|-------------------| \/ 1185 *sin|-------------------|| \/ 395 *sin|-------------------| \/ 1185 *cos|-------------------| 3 / 1350 + ----------------
\\/ 25 \ 2 2 // | \\/ 25 \ 2 2 // \ 3 / \ 3 /| \ 3 / \ 3 / \\/ 25 \ 2 2 // | \\/ 25 \ 2 2 // \ 3 / \ 3 /| \ 3 / \ 3 / 316 \/ 25
- ------------------------------------------------------ + I*|- ------------------------------------------------------ + -------------------------------- + ---------------------------------| - -------------------------------- + --------------------------------- + - ------------------------------------------------------ + I*|- ------------------------------------------------------ - -------------------------------- + ---------------------------------| + -------------------------------- + --------------------------------- + - -------------------------------- - ------------------------------
5 \ 5 5 15 / 5 15 5 \ 5 5 15 / 5 15 _________________________ 3
/ ________
/ 114*I*\/ 240135
5*3 / 1350 + ----------------
\/ 25
$$\left(\left(\frac{\sqrt{395} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5} + \frac{\sqrt{1185} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} - \frac{316 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + i \left(- \frac{\sqrt{395} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5} + \frac{\sqrt{1185} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} - \frac{316 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5}\right)\right) + \left(- \frac{\sqrt{395} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5} - \frac{316 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + \frac{\sqrt{1185} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} + i \left(- \frac{316 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + \frac{\sqrt{1185} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} + \frac{\sqrt{395} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5}\right)\right)\right) + \left(- \frac{\sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}{3} - \frac{316}{5 \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
316*re|----------------------------------------------| 316*re|----------------------------------------------| | 316*im|----------------------------------------------| / / ________\\ / / ________\\| | 316*im|----------------------------------------------| / / ________\\ / / ________\\| / / ________\\
| _________________________ | | _________________________ | _________________________ | | _________________________ | | |19*\/ 240135 || | |19*\/ 240135 ||| | | _________________________ | | |19*\/ 240135 || | |19*\/ 240135 ||| | |19*\/ 240135 ||
| / ________ / ___\| | / ________ / ___\| / ________ | | / ________ / ___\| |atan|-------------|| |atan|-------------||| | | / ________ / ___\| |atan|-------------|| |atan|-------------||| |atan|-------------||
| / 114*I*\/ 240135 | 1 I*\/ 3 || | / 114*I*\/ 240135 | 1 I*\/ 3 || / 114*I*\/ 240135 | | / 114*I*\/ 240135 | 1 I*\/ 3 || _____ | \ 5625 /| ______ | \ 5625 /|| | | / 114*I*\/ 240135 | 1 I*\/ 3 || _____ | \ 5625 /| ______ | \ 5625 /|| ______ | \ 5625 /|
|3 / 1350 + ---------------- *|- - + -------|| |3 / 1350 + ---------------- *|- - - -------|| 3 / 1350 + ---------------- | |3 / 1350 + ---------------- *|- - + -------|| \/ 395 *cos|-------------------| \/ 1185 *sin|-------------------|| | |3 / 1350 + ---------------- *|- - - -------|| \/ 395 *cos|-------------------| \/ 1185 *sin|-------------------|| 2*\/ 1185 *cos|-------------------|
316 \\/ 25 \ 2 2 // \\/ 25 \ 2 2 // \/ 25 | \\/ 25 \ 2 2 // \ 3 / \ 3 /| | \\/ 25 \ 2 2 // \ 3 / \ 3 /| \ 3 /
- -------------------------------- - ------------------------------------------------------ - ------------------------------------------------------ - ------------------------------ + I*|- ------------------------------------------------------ - -------------------------------- + ---------------------------------| + I*|- ------------------------------------------------------ + -------------------------------- + ---------------------------------| + -----------------------------------
_________________________ 5 5 3 \ 5 5 15 / \ 5 5 15 / 15
/ ________
/ 114*I*\/ 240135
5*3 / 1350 + ----------------
\/ 25
$$- \frac{316 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} - \frac{316 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + \frac{2 \sqrt{1185} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} - \frac{\sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}{3} + i \left(- \frac{316 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + \frac{\sqrt{1185} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} + \frac{\sqrt{395} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5}\right) + i \left(- \frac{\sqrt{395} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5} + \frac{\sqrt{1185} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} - \frac{316 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5}\right) - \frac{316}{5 \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}$$
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \
| 316*re|----------------------------------------------| | 316*im|----------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\| | 316*re|----------------------------------------------| | 316*im|----------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\|
| | _________________________ | | | _________________________ | | |19*\/ 240135 || | |19*\/ 240135 ||| | |19*\/ 240135 || | |19*\/ 240135 ||| | | _________________________ | | | _________________________ | | |19*\/ 240135 || | |19*\/ 240135 ||| | |19*\/ 240135 || | |19*\/ 240135 ||| / _________________________\
| | / ________ / ___\| | | / ________ / ___\| |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------||| | | / ________ / ___\| | | / ________ / ___\| |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------||| | / ________ |
| | / 114*I*\/ 240135 | 1 I*\/ 3 || | | / 114*I*\/ 240135 | 1 I*\/ 3 || _____ | \ 5625 /| ______ | \ 5625 /|| _____ | \ 5625 /| ______ | \ 5625 /|| | | / 114*I*\/ 240135 | 1 I*\/ 3 || | | / 114*I*\/ 240135 | 1 I*\/ 3 || _____ | \ 5625 /| ______ | \ 5625 /|| _____ | \ 5625 /| ______ | \ 5625 /|| | / 114*I*\/ 240135 |
| |3 / 1350 + ---------------- *|- - - -------|| | |3 / 1350 + ---------------- *|- - - -------|| \/ 395 *cos|-------------------| \/ 1185 *sin|-------------------|| \/ 395 *sin|-------------------| \/ 1185 *cos|-------------------|| | |3 / 1350 + ---------------- *|- - + -------|| | |3 / 1350 + ---------------- *|- - + -------|| \/ 395 *cos|-------------------| \/ 1185 *sin|-------------------|| \/ 395 *sin|-------------------| \/ 1185 *cos|-------------------|| | 3 / 1350 + ---------------- |
| \\/ 25 \ 2 2 // | \\/ 25 \ 2 2 // \ 3 / \ 3 /| \ 3 / \ 3 /| | \\/ 25 \ 2 2 // | \\/ 25 \ 2 2 // \ 3 / \ 3 /| \ 3 / \ 3 /| | 316 \/ 25 |
|- ------------------------------------------------------ + I*|- ------------------------------------------------------ + -------------------------------- + ---------------------------------| - -------------------------------- + ---------------------------------|*|- ------------------------------------------------------ + I*|- ------------------------------------------------------ - -------------------------------- + ---------------------------------| + -------------------------------- + ---------------------------------|*|- -------------------------------- - ------------------------------|
\ 5 \ 5 5 15 / 5 15 / \ 5 \ 5 5 15 / 5 15 / | _________________________ 3 |
| / ________ |
| / 114*I*\/ 240135 |
| 5*3 / 1350 + ---------------- |
\ \/ 25 /
$$\left(- \frac{\sqrt{395} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5} - \frac{316 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + \frac{\sqrt{1185} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} + i \left(- \frac{316 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + \frac{\sqrt{1185} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} + \frac{\sqrt{395} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5}\right)\right) \left(\frac{\sqrt{395} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5} + \frac{\sqrt{1185} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} - \frac{316 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + i \left(- \frac{\sqrt{395} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5} + \frac{\sqrt{1185} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} - \frac{316 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5}\right)\right) \left(- \frac{\sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}{3} - \frac{316}{5 \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)$$
=
/ / / ________\\\
| | |19*\/ 240135 |||
| |2*atan|-------------|||
| | \ 5625 /||
| cos|---------------------|| / 2/3 \
3 ___ 2/3 |1 \ 3 /| |/ ________\ 3 ___|
632*\/ 5 *6 *|- - --------------------------|*\\33750 + 114*I*\/ 240135 / + 948*\/ 5 /
\4 2 /
-------------------------------------------------------------------------------------------
________________________
3 / ________
675*\/ 5625 + 19*I*\/ 240135
$$\frac{632 \sqrt[3]{5} \cdot 6^{\frac{2}{3}} \left(\frac{1}{4} - \frac{\cos{\left(\frac{2 \operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{2}\right) \left(948 \sqrt[3]{5} + \left(33750 + 114 \sqrt{240135} i\right)^{\frac{2}{3}}\right)}{675 \sqrt[3]{5625 + 19 \sqrt{240135} i}}$$
632*5^(1/3)*6^(2/3)*(1/4 - cos(2*atan(19*sqrt(240135)/5625)/3)/2)*((33750 + 114*i*sqrt(240135))^(2/3) + 948*5^(1/3))/(675*(5625 + 19*i*sqrt(240135))^(1/3))
Respuesta numérica
[src]
x1 = -8.646683085784
x2 = 1.65385587885244
x3 = 6.99282720693155
x3 = 6.99282720693155