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Expresiones idénticas
- x^ tres -1 cero x-1225x- ocho mil =0
- x al cubo menos 10x menos 1225x menos 8000 es igual a 0
- x en el grado tres menos 1 cero x menos 1225x menos ocho mil es igual a 0
- x3-10x-1225x-8000=0
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Expresiones semejantes
- x^3+10x-1225x-8000=0
- x^3-10x+1225x-8000=0
- x^3-10x-1225x+8000=0
x^3-10x-1225x-8000=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3 x - 10*x - 1225*x - 8000 = 0
$$\left(- 1225 x + \left(x^{3} - 10 x\right)\right) - 8000 = 0$$
Teorema de Cardano-Vieta
es ecuación cúbica reducida
$$p x^{2} + q x + v + x^{3} = 0$$
donde
$$p = \frac{b}{a}$$
$$p = 0$$
$$q = \frac{c}{a}$$
$$q = -1235$$
$$v = \frac{d}{a}$$
$$v = -8000$$
Fórmulas de Cardano-Vieta
$$x_{1} + x_{2} + x_{3} = - p$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = q$$
$$x_{1} x_{2} x_{3} = v$$
$$x_{1} + x_{2} + x_{3} = 0$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = -1235$$
$$x_{1} x_{2} x_{3} = -8000$$
$$p x^{2} + q x + v + x^{3} = 0$$
donde
$$p = \frac{b}{a}$$
$$p = 0$$
$$q = \frac{c}{a}$$
$$q = -1235$$
$$v = \frac{d}{a}$$
$$v = -8000$$
Fórmulas de Cardano-Vieta
$$x_{1} + x_{2} + x_{3} = - p$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = q$$
$$x_{1} x_{2} x_{3} = v$$
$$x_{1} + x_{2} + x_{3} = 0$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = -1235$$
$$x_{1} x_{2} x_{3} = -8000$$
Suma y producto de raíces
[src]
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
1235*re|-----------------------------------------------| |1235*im|-----------------------------------------------| / / ___________\\ / / ___________\\| / / ___________\\ / / ___________\\ 1235*re|-----------------------------------------------| |1235*im|-----------------------------------------------| / / ___________\\ / / ___________\\| / / ___________\\ / / ___________\\
| __________________________ | | | __________________________ | | |\/ 174198345 || | |\/ 174198345 ||| | |\/ 174198345 || | |\/ 174198345 || | __________________________ | | | __________________________ | | |\/ 174198345 || | |\/ 174198345 ||| | |\/ 174198345 || | |\/ 174198345 ||
| / ___________ / ___\| | | / ___________ / ___\| |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------|| | / ___________ / ___\| | | / ___________ / ___\| |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------||
| / 5*I*\/ 174198345 | 1 I*\/ 3 || | | / 5*I*\/ 174198345 | 1 I*\/ 3 || ______ | \ 7200 /| ______ | \ 7200 /|| ______ | \ 7200 /| ______ | \ 7200 /| | / 5*I*\/ 174198345 | 1 I*\/ 3 || | | / 5*I*\/ 174198345 | 1 I*\/ 3 || ______ | \ 7200 /| ______ | \ 7200 /|| ______ | \ 7200 /| ______ | \ 7200 /| __________________________
|3 / 4000 + ----------------- *|- - - -------|| | |3 / 4000 + ----------------- *|- - - -------|| \/ 1235 *cos|-------------------| \/ 3705 *sin|-------------------|| \/ 1235 *sin|-------------------| \/ 3705 *cos|-------------------| |3 / 4000 + ----------------- *|- - + -------|| | |3 / 4000 + ----------------- *|- - + -------|| \/ 1235 *cos|-------------------| \/ 3705 *sin|-------------------|| \/ 1235 *sin|-------------------| \/ 3705 *cos|-------------------| / ___________
\\/ 9 \ 2 2 // | \\/ 9 \ 2 2 // \ 3 / \ 3 /| \ 3 / \ 3 / \\/ 9 \ 2 2 // | \\/ 9 \ 2 2 // \ 3 / \ 3 /| \ 3 / \ 3 / / 5*I*\/ 174198345 1235
-------------------------------------------------------- + I*|-------------------------------------------------------- - --------------------------------- - ---------------------------------| + --------------------------------- - --------------------------------- + -------------------------------------------------------- + I*|-------------------------------------------------------- + --------------------------------- - ---------------------------------| - --------------------------------- - --------------------------------- + 3 / 4000 + ----------------- + ---------------------------------
3 \ 3 2 6 / 2 6 3 \ 3 2 6 / 2 6 \/ 9 __________________________
/ ___________
/ 5*I*\/ 174198345
3*3 / 4000 + -----------------
\/ 9
$$\left(\frac{1235}{3 \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}} + \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}\right) + \left(\left(\frac{1235 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}}\right)}}{3} - \frac{\sqrt{3705} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{6} - \frac{\sqrt{1235} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{2} + i \left(\frac{1235 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}}\right)}}{3} - \frac{\sqrt{3705} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{6} + \frac{\sqrt{1235} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{2}\right)\right) + \left(- \frac{\sqrt{3705} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{6} + \frac{1235 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}}\right)}}{3} + \frac{\sqrt{1235} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{2} + i \left(- \frac{\sqrt{1235} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{2} - \frac{\sqrt{3705} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{6} + \frac{1235 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}}\right)}}{3}\right)\right)\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
1235*re|-----------------------------------------------| 1235*re|-----------------------------------------------| |1235*im|-----------------------------------------------| / / ___________\\ / / ___________\\| |1235*im|-----------------------------------------------| / / ___________\\ / / ___________\\| / / ___________\\
| __________________________ | | __________________________ | | | __________________________ | | |\/ 174198345 || | |\/ 174198345 ||| | | __________________________ | | |\/ 174198345 || | |\/ 174198345 ||| | |\/ 174198345 ||
| / ___________ / ___\| | / ___________ / ___\| | | / ___________ / ___\| |atan|-------------|| |atan|-------------||| | | / ___________ / ___\| |atan|-------------|| |atan|-------------||| |atan|-------------||
__________________________ | / 5*I*\/ 174198345 | 1 I*\/ 3 || | / 5*I*\/ 174198345 | 1 I*\/ 3 || | | / 5*I*\/ 174198345 | 1 I*\/ 3 || ______ | \ 7200 /| ______ | \ 7200 /|| | | / 5*I*\/ 174198345 | 1 I*\/ 3 || ______ | \ 7200 /| ______ | \ 7200 /|| ______ | \ 7200 /|
/ ___________ |3 / 4000 + ----------------- *|- - + -------|| |3 / 4000 + ----------------- *|- - - -------|| | |3 / 4000 + ----------------- *|- - + -------|| \/ 1235 *cos|-------------------| \/ 3705 *sin|-------------------|| | |3 / 4000 + ----------------- *|- - - -------|| \/ 1235 *cos|-------------------| \/ 3705 *sin|-------------------|| \/ 3705 *cos|-------------------|
/ 5*I*\/ 174198345 1235 \\/ 9 \ 2 2 // \\/ 9 \ 2 2 // | \\/ 9 \ 2 2 // \ 3 / \ 3 /| | \\/ 9 \ 2 2 // \ 3 / \ 3 /| \ 3 /
3 / 4000 + ----------------- + --------------------------------- + -------------------------------------------------------- + -------------------------------------------------------- + I*|-------------------------------------------------------- + --------------------------------- - ---------------------------------| + I*|-------------------------------------------------------- - --------------------------------- - ---------------------------------| - ---------------------------------
\/ 9 __________________________ 3 3 \ 3 2 6 / \ 3 2 6 / 3
/ ___________
/ 5*I*\/ 174198345
3*3 / 4000 + -----------------
\/ 9
$$- \frac{\sqrt{3705} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{3} + \frac{1235 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}}\right)}}{3} + \frac{1235 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}}\right)}}{3} + \frac{1235}{3 \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}} + i \left(\frac{1235 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}}\right)}}{3} - \frac{\sqrt{3705} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{6} + \frac{\sqrt{1235} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{2}\right) + i \left(- \frac{\sqrt{1235} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{2} - \frac{\sqrt{3705} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{6} + \frac{1235 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}}\right)}}{3}\right) + \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}$$
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \
|1235*re|-----------------------------------------------| |1235*im|-----------------------------------------------| / / ___________\\ / / ___________\\| / / ___________\\ / / ___________\\| |1235*re|-----------------------------------------------| |1235*im|-----------------------------------------------| / / ___________\\ / / ___________\\| / / ___________\\ / / ___________\\|
| | __________________________ | | | __________________________ | | |\/ 174198345 || | |\/ 174198345 ||| | |\/ 174198345 || | |\/ 174198345 ||| | | __________________________ | | | __________________________ | | |\/ 174198345 || | |\/ 174198345 ||| | |\/ 174198345 || | |\/ 174198345 |||
| | / ___________ / ___\| | | / ___________ / ___\| |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------||| | | / ___________ / ___\| | | / ___________ / ___\| |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------|||
| | / 5*I*\/ 174198345 | 1 I*\/ 3 || | | / 5*I*\/ 174198345 | 1 I*\/ 3 || ______ | \ 7200 /| ______ | \ 7200 /|| ______ | \ 7200 /| ______ | \ 7200 /|| | | / 5*I*\/ 174198345 | 1 I*\/ 3 || | | / 5*I*\/ 174198345 | 1 I*\/ 3 || ______ | \ 7200 /| ______ | \ 7200 /|| ______ | \ 7200 /| ______ | \ 7200 /|| / __________________________ \
| |3 / 4000 + ----------------- *|- - - -------|| | |3 / 4000 + ----------------- *|- - - -------|| \/ 1235 *cos|-------------------| \/ 3705 *sin|-------------------|| \/ 1235 *sin|-------------------| \/ 3705 *cos|-------------------|| | |3 / 4000 + ----------------- *|- - + -------|| | |3 / 4000 + ----------------- *|- - + -------|| \/ 1235 *cos|-------------------| \/ 3705 *sin|-------------------|| \/ 1235 *sin|-------------------| \/ 3705 *cos|-------------------|| | / ___________ |
| \\/ 9 \ 2 2 // | \\/ 9 \ 2 2 // \ 3 / \ 3 /| \ 3 / \ 3 /| | \\/ 9 \ 2 2 // | \\/ 9 \ 2 2 // \ 3 / \ 3 /| \ 3 / \ 3 /| | / 5*I*\/ 174198345 1235 |
|-------------------------------------------------------- + I*|-------------------------------------------------------- - --------------------------------- - ---------------------------------| + --------------------------------- - ---------------------------------|*|-------------------------------------------------------- + I*|-------------------------------------------------------- + --------------------------------- - ---------------------------------| - --------------------------------- - ---------------------------------|*|3 / 4000 + ----------------- + ---------------------------------|
\ 3 \ 3 2 6 / 2 6 / \ 3 \ 3 2 6 / 2 6 / |\/ 9 __________________________|
| / ___________ |
| / 5*I*\/ 174198345 |
| 3*3 / 4000 + ----------------- |
\ \/ 9 /
$$\left(- \frac{\sqrt{3705} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{6} + \frac{1235 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}}\right)}}{3} + \frac{\sqrt{1235} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{2} + i \left(- \frac{\sqrt{1235} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{2} - \frac{\sqrt{3705} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{6} + \frac{1235 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}}\right)}}{3}\right)\right) \left(\frac{1235 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}}\right)}}{3} - \frac{\sqrt{3705} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{6} - \frac{\sqrt{1235} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{2} + i \left(\frac{1235 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}}\right)}}{3} - \frac{\sqrt{3705} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{6} + \frac{\sqrt{1235} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{2}\right)\right) \left(\frac{1235}{3 \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}} + \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}\right)$$
=
/ / / ___________\\\
| | |\/ 174198345 |||
| |2*atan|-------------|||
| | \ 7200 /||
| cos|---------------------|| / 2/3 \
3 ___ 2/3 | 1 \ 3 /| |/ ___________\ 3 ___|
988*\/ 3 *5 *|- - + --------------------------|*\\36000 + 5*I*\/ 174198345 / + 1235*\/ 3 /
\ 4 2 /
-----------------------------------------------------------------------------------------------
________________________
3 / ___________
9*\/ 7200 + I*\/ 174198345
$$\frac{988 \sqrt[3]{3} \cdot 5^{\frac{2}{3}} \left(- \frac{1}{4} + \frac{\cos{\left(\frac{2 \operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{2}\right) \left(1235 \sqrt[3]{3} + \left(36000 + 5 \sqrt{174198345} i\right)^{\frac{2}{3}}\right)}{9 \sqrt[3]{7200 + \sqrt{174198345} i}}$$
988*3^(1/3)*5^(2/3)*(-1/4 + cos(2*atan(sqrt(174198345)/7200)/3)/2)*((36000 + 5*i*sqrt(174198345))^(2/3) + 1235*3^(1/3))/(9*(7200 + i*sqrt(174198345))^(1/3))
Respuesta rápida
[src]
/ 1 \ / / 1 \ \
1235*re|-----------------------------------------------| |1235*im|-----------------------------------------------| / / ___________\\ / / ___________\\| / / ___________\\ / / ___________\\
| __________________________ | | | __________________________ | | |\/ 174198345 || | |\/ 174198345 ||| | |\/ 174198345 || | |\/ 174198345 ||
| / ___________ / ___\| | | / ___________ / ___\| |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------||
| / 5*I*\/ 174198345 | 1 I*\/ 3 || | | / 5*I*\/ 174198345 | 1 I*\/ 3 || ______ | \ 7200 /| ______ | \ 7200 /|| ______ | \ 7200 /| ______ | \ 7200 /|
|3 / 4000 + ----------------- *|- - - -------|| | |3 / 4000 + ----------------- *|- - - -------|| \/ 1235 *cos|-------------------| \/ 3705 *sin|-------------------|| \/ 1235 *sin|-------------------| \/ 3705 *cos|-------------------|
\\/ 9 \ 2 2 // | \\/ 9 \ 2 2 // \ 3 / \ 3 /| \ 3 / \ 3 /
x1 = -------------------------------------------------------- + I*|-------------------------------------------------------- - --------------------------------- - ---------------------------------| + --------------------------------- - ---------------------------------
3 \ 3 2 6 / 2 6
$$x_{1} = - \frac{\sqrt{3705} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{6} + \frac{1235 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}}\right)}}{3} + \frac{\sqrt{1235} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{2} + i \left(- \frac{\sqrt{1235} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{2} - \frac{\sqrt{3705} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{6} + \frac{1235 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}}\right)}}{3}\right)$$
/ 1 \ / / 1 \ \
1235*re|-----------------------------------------------| |1235*im|-----------------------------------------------| / / ___________\\ / / ___________\\| / / ___________\\ / / ___________\\
| __________________________ | | | __________________________ | | |\/ 174198345 || | |\/ 174198345 ||| | |\/ 174198345 || | |\/ 174198345 ||
| / ___________ / ___\| | | / ___________ / ___\| |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------||
| / 5*I*\/ 174198345 | 1 I*\/ 3 || | | / 5*I*\/ 174198345 | 1 I*\/ 3 || ______ | \ 7200 /| ______ | \ 7200 /|| ______ | \ 7200 /| ______ | \ 7200 /|
|3 / 4000 + ----------------- *|- - + -------|| | |3 / 4000 + ----------------- *|- - + -------|| \/ 1235 *cos|-------------------| \/ 3705 *sin|-------------------|| \/ 1235 *sin|-------------------| \/ 3705 *cos|-------------------|
\\/ 9 \ 2 2 // | \\/ 9 \ 2 2 // \ 3 / \ 3 /| \ 3 / \ 3 /
x2 = -------------------------------------------------------- + I*|-------------------------------------------------------- + --------------------------------- - ---------------------------------| - --------------------------------- - ---------------------------------
3 \ 3 2 6 / 2 6
$$x_{2} = \frac{1235 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}}\right)}}{3} - \frac{\sqrt{3705} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{6} - \frac{\sqrt{1235} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{2} + i \left(\frac{1235 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}}\right)}}{3} - \frac{\sqrt{3705} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{6} + \frac{\sqrt{1235} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{174198345}}{7200} \right)}}{3} \right)}}{2}\right)$$
__________________________
/ ___________
/ 5*I*\/ 174198345 1235
x3 = 3 / 4000 + ----------------- + ---------------------------------
\/ 9 __________________________
/ ___________
/ 5*I*\/ 174198345
3*3 / 4000 + -----------------
\/ 9
$$x_{3} = \frac{1235}{3 \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}} + \sqrt[3]{4000 + \frac{5 \sqrt{174198345} i}{9}}$$
x3 = 1235/(3*(4000 + 5*sqrt(174198345)*i/9)^(1/3)) + (4000 + 5*sqrt(174198345)*i/9)^(1/3)
Respuesta numérica
[src]
x1 = -31.2948361841325
x2 = -6.72387872229458 + 2.16840434497101e-19*i
x3 = 38.0187149064271
x3 = 38.0187149064271