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19.6*x^3-862.4*x+2195=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3 98*x 4312*x ----- - ------ + 2195 = 0 5 5
$$\left(\frac{98 x^{3}}{5} - \frac{4312 x}{5}\right) + 2195 = 0$$
Teorema de Cardano-Vieta
reescribamos la ecuación
$$\left(\frac{98 x^{3}}{5} - \frac{4312 x}{5}\right) + 2195 = 0$$
de
$$a x^{3} + b x^{2} + c x + d = 0$$
como ecuación cúbica reducida
$$x^{3} + \frac{b x^{2}}{a} + \frac{c x}{a} + \frac{d}{a} = 0$$
$$x^{3} - 44 x + \frac{10975}{98} = 0$$
$$p x^{2} + q x + v + x^{3} = 0$$
donde
$$p = \frac{b}{a}$$
$$p = 0$$
$$q = \frac{c}{a}$$
$$q = -44$$
$$v = \frac{d}{a}$$
$$v = \frac{10975}{98}$$
Fórmulas de Cardano-Vieta
$$x_{1} + x_{2} + x_{3} = - p$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = q$$
$$x_{1} x_{2} x_{3} = v$$
$$x_{1} + x_{2} + x_{3} = 0$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = -44$$
$$x_{1} x_{2} x_{3} = \frac{10975}{98}$$
$$\left(\frac{98 x^{3}}{5} - \frac{4312 x}{5}\right) + 2195 = 0$$
de
$$a x^{3} + b x^{2} + c x + d = 0$$
como ecuación cúbica reducida
$$x^{3} + \frac{b x^{2}}{a} + \frac{c x}{a} + \frac{d}{a} = 0$$
$$x^{3} - 44 x + \frac{10975}{98} = 0$$
$$p x^{2} + q x + v + x^{3} = 0$$
donde
$$p = \frac{b}{a}$$
$$p = 0$$
$$q = \frac{c}{a}$$
$$q = -44$$
$$v = \frac{d}{a}$$
$$v = \frac{10975}{98}$$
Fórmulas de Cardano-Vieta
$$x_{1} + x_{2} + x_{3} = - p$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = q$$
$$x_{1} x_{2} x_{3} = v$$
$$x_{1} + x_{2} + x_{3} = 0$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = -44$$
$$x_{1} x_{2} x_{3} = \frac{10975}{98}$$
Respuesta rápida
[src]
/ / / __________\\\ / / __________\\
| | |\/ 60785007 ||| | |\/ 60785007 ||
| / / __________\\ |atan|------------||| / / __________\\ |atan|------------||
| | |\/ 60785007 || ____ | \ 98775 /|| | |\/ 60785007 || ____ | \ 98775 /|
| |atan|------------|| \/ 33 *sin|------------------|| |atan|------------|| \/ 33 *cos|------------------|
/ 1 \ | / 1 \ ____ | \ 98775 /| \ 3 /| ____ | \ 98775 /| \ 3 /
x1 = - 44*re|------------------------------------------------| + I*|- 44*im|------------------------------------------------| + \/ 11 *cos|------------------| + ------------------------------| - \/ 11 *sin|------------------| + ------------------------------
| ___________________________| | | ___________________________| \ 3 / 3 | \ 3 / 3
|/ ___\ / __________ | | |/ ___\ / __________ | |
|| 1 I*\/ 3 | / 296325 3*I*\/ 60785007 | | || 1 I*\/ 3 | / 296325 3*I*\/ 60785007 | |
||- - - -------|*3 / ------ + ---------------- | | ||- - - -------|*3 / ------ + ---------------- | |
\\ 2 2 / \/ 196 196 / \ \\ 2 2 / \/ 196 196 / /
$$x_{1} = - \sqrt{11} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)} - 44 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}\right)} + \frac{\sqrt{33} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)}}{3} + i \left(- 44 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}\right)} + \frac{\sqrt{33} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)}}{3} + \sqrt{11} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)}\right)$$
/ / / __________\\\ / / __________\\
| | |\/ 60785007 ||| | |\/ 60785007 ||
| / / __________\\ |atan|------------||| / / __________\\ |atan|------------||
| | |\/ 60785007 || ____ | \ 98775 /|| | |\/ 60785007 || ____ | \ 98775 /|
| |atan|------------|| \/ 33 *sin|------------------|| |atan|------------|| \/ 33 *cos|------------------|
/ 1 \ | / 1 \ ____ | \ 98775 /| \ 3 /| ____ | \ 98775 /| \ 3 /
x2 = - 44*re|------------------------------------------------| + I*|- 44*im|------------------------------------------------| - \/ 11 *cos|------------------| + ------------------------------| + \/ 11 *sin|------------------| + ------------------------------
| ___________________________| | | ___________________________| \ 3 / 3 | \ 3 / 3
|/ ___\ / __________ | | |/ ___\ / __________ | |
|| 1 I*\/ 3 | / 296325 3*I*\/ 60785007 | | || 1 I*\/ 3 | / 296325 3*I*\/ 60785007 | |
||- - + -------|*3 / ------ + ---------------- | | ||- - + -------|*3 / ------ + ---------------- | |
\\ 2 2 / \/ 196 196 / \ \\ 2 2 / \/ 196 196 / /
$$x_{2} = \sqrt{11} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)} + \frac{\sqrt{33} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)}}{3} - 44 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}\right)} + i \left(- \sqrt{11} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)} + \frac{\sqrt{33} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)}}{3} - 44 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}\right)}\right)$$
___________________________
/ __________
/ 296325 3*I*\/ 60785007
3 / ------ + ----------------
44 \/ 196 196
x3 = - -------------------------------- - --------------------------------
___________________________ 3
/ __________
/ 296325 3*I*\/ 60785007
3 / ------ + ----------------
\/ 196 196
$$x_{3} = - \frac{\sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}{3} - \frac{44}{\sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}$$
x3 = -(296325/196 + 3*sqrt(60785007)*i/196)^(1/3)/3 - 44/(296325/196 + 3*sqrt(60785007)*i/196)^(1/3)
Suma y producto de raíces
[src]
suma
/ / / __________\\\ / / __________\\ / / / __________\\\ / / __________\\
| | |\/ 60785007 ||| | |\/ 60785007 || | | |\/ 60785007 ||| | |\/ 60785007 || ___________________________
| / / __________\\ |atan|------------||| / / __________\\ |atan|------------|| | / / __________\\ |atan|------------||| / / __________\\ |atan|------------|| / __________
| | |\/ 60785007 || ____ | \ 98775 /|| | |\/ 60785007 || ____ | \ 98775 /| | | |\/ 60785007 || ____ | \ 98775 /|| | |\/ 60785007 || ____ | \ 98775 /| / 296325 3*I*\/ 60785007
| |atan|------------|| \/ 33 *sin|------------------|| |atan|------------|| \/ 33 *cos|------------------| | |atan|------------|| \/ 33 *sin|------------------|| |atan|------------|| \/ 33 *cos|------------------| 3 / ------ + ----------------
/ 1 \ | / 1 \ ____ | \ 98775 /| \ 3 /| ____ | \ 98775 /| \ 3 / / 1 \ | / 1 \ ____ | \ 98775 /| \ 3 /| ____ | \ 98775 /| \ 3 / 44 \/ 196 196
- 44*re|------------------------------------------------| + I*|- 44*im|------------------------------------------------| + \/ 11 *cos|------------------| + ------------------------------| - \/ 11 *sin|------------------| + ------------------------------ + - 44*re|------------------------------------------------| + I*|- 44*im|------------------------------------------------| - \/ 11 *cos|------------------| + ------------------------------| + \/ 11 *sin|------------------| + ------------------------------ + - -------------------------------- - --------------------------------
| ___________________________| | | ___________________________| \ 3 / 3 | \ 3 / 3 | ___________________________| | | ___________________________| \ 3 / 3 | \ 3 / 3 ___________________________ 3
|/ ___\ / __________ | | |/ ___\ / __________ | | |/ ___\ / __________ | | |/ ___\ / __________ | | / __________
|| 1 I*\/ 3 | / 296325 3*I*\/ 60785007 | | || 1 I*\/ 3 | / 296325 3*I*\/ 60785007 | | || 1 I*\/ 3 | / 296325 3*I*\/ 60785007 | | || 1 I*\/ 3 | / 296325 3*I*\/ 60785007 | | / 296325 3*I*\/ 60785007
||- - - -------|*3 / ------ + ---------------- | | ||- - - -------|*3 / ------ + ---------------- | | ||- - + -------|*3 / ------ + ---------------- | | ||- - + -------|*3 / ------ + ---------------- | | 3 / ------ + ----------------
\\ 2 2 / \/ 196 196 / \ \\ 2 2 / \/ 196 196 / / \\ 2 2 / \/ 196 196 / \ \\ 2 2 / \/ 196 196 / / \/ 196 196
$$\left(\left(\sqrt{11} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)} + \frac{\sqrt{33} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)}}{3} - 44 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}\right)} + i \left(- \sqrt{11} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)} + \frac{\sqrt{33} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)}}{3} - 44 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}\right)}\right)\right) + \left(- \sqrt{11} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)} - 44 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}\right)} + \frac{\sqrt{33} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)}}{3} + i \left(- 44 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}\right)} + \frac{\sqrt{33} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)}}{3} + \sqrt{11} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)}\right)\right)\right) + \left(- \frac{\sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}{3} - \frac{44}{\sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}\right)$$
=
/ / / __________\\\ / / / __________\\\ / / __________\\
___________________________ | | |\/ 60785007 ||| | | |\/ 60785007 ||| | |\/ 60785007 ||
/ __________ | / / __________\\ |atan|------------||| | / / __________\\ |atan|------------||| |atan|------------||
/ 296325 3*I*\/ 60785007 | | |\/ 60785007 || ____ | \ 98775 /|| | | |\/ 60785007 || ____ | \ 98775 /|| ____ | \ 98775 /|
3 / ------ + ---------------- | |atan|------------|| \/ 33 *sin|------------------|| | |atan|------------|| \/ 33 *sin|------------------|| 2*\/ 33 *cos|------------------|
44 / 1 \ / 1 \ \/ 196 196 | / 1 \ ____ | \ 98775 /| \ 3 /| | / 1 \ ____ | \ 98775 /| \ 3 /| \ 3 /
- -------------------------------- - 44*re|------------------------------------------------| - 44*re|------------------------------------------------| - -------------------------------- + I*|- 44*im|------------------------------------------------| - \/ 11 *cos|------------------| + ------------------------------| + I*|- 44*im|------------------------------------------------| + \/ 11 *cos|------------------| + ------------------------------| + --------------------------------
___________________________ | ___________________________| | ___________________________| 3 | | ___________________________| \ 3 / 3 | | | ___________________________| \ 3 / 3 | 3
/ __________ |/ ___\ / __________ | |/ ___\ / __________ | | |/ ___\ / __________ | | | |/ ___\ / __________ | |
/ 296325 3*I*\/ 60785007 || 1 I*\/ 3 | / 296325 3*I*\/ 60785007 | || 1 I*\/ 3 | / 296325 3*I*\/ 60785007 | | || 1 I*\/ 3 | / 296325 3*I*\/ 60785007 | | | || 1 I*\/ 3 | / 296325 3*I*\/ 60785007 | |
3 / ------ + ---------------- ||- - + -------|*3 / ------ + ---------------- | ||- - - -------|*3 / ------ + ---------------- | | ||- - + -------|*3 / ------ + ---------------- | | | ||- - - -------|*3 / ------ + ---------------- | |
\/ 196 196 \\ 2 2 / \/ 196 196 / \\ 2 2 / \/ 196 196 / \ \\ 2 2 / \/ 196 196 / / \ \\ 2 2 / \/ 196 196 / /
$$- 44 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}\right)} - 44 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}\right)} + \frac{2 \sqrt{33} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)}}{3} - \frac{\sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}{3} + i \left(- 44 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}\right)} + \frac{\sqrt{33} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)}}{3} + \sqrt{11} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)}\right) + i \left(- \sqrt{11} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)} + \frac{\sqrt{33} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)}}{3} - 44 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}\right)}\right) - \frac{44}{\sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}$$
producto
/ / / / __________\\\ / / __________\\\ / / / / __________\\\ / / __________\\\ | | | |\/ 60785007 ||| | |\/ 60785007 ||| | | | |\/ 60785007 ||| | |\/ 60785007 ||| / ___________________________\ | | / / __________\\ |atan|------------||| / / __________\\ |atan|------------||| | | / / __________\\ |atan|------------||| / / __________\\ |atan|------------||| | / __________ | | | | |\/ 60785007 || ____ | \ 98775 /|| | |\/ 60785007 || ____ | \ 98775 /|| | | | |\/ 60785007 || ____ | \ 98775 /|| | |\/ 60785007 || ____ | \ 98775 /|| | / 296325 3*I*\/ 60785007 | | | |atan|------------|| \/ 33 *sin|------------------|| |atan|------------|| \/ 33 *cos|------------------|| | | |atan|------------|| \/ 33 *sin|------------------|| |atan|------------|| \/ 33 *cos|------------------|| | 3 / ------ + ---------------- | | / 1 \ | / 1 \ ____ | \ 98775 /| \ 3 /| ____ | \ 98775 /| \ 3 /| | / 1 \ | / 1 \ ____ | \ 98775 /| \ 3 /| ____ | \ 98775 /| \ 3 /| | 44 \/ 196 196 | |- 44*re|------------------------------------------------| + I*|- 44*im|------------------------------------------------| + \/ 11 *cos|------------------| + ------------------------------| - \/ 11 *sin|------------------| + ------------------------------|*|- 44*re|------------------------------------------------| + I*|- 44*im|------------------------------------------------| - \/ 11 *cos|------------------| + ------------------------------| + \/ 11 *sin|------------------| + ------------------------------|*|- -------------------------------- - --------------------------------| | | ___________________________| | | ___________________________| \ 3 / 3 | \ 3 / 3 | | | ___________________________| | | ___________________________| \ 3 / 3 | \ 3 / 3 | | ___________________________ 3 | | |/ ___\ / __________ | | |/ ___\ / __________ | | | | |/ ___\ / __________ | | |/ ___\ / __________ | | | | / __________ | | || 1 I*\/ 3 | / 296325 3*I*\/ 60785007 | | || 1 I*\/ 3 | / 296325 3*I*\/ 60785007 | | | | || 1 I*\/ 3 | / 296325 3*I*\/ 60785007 | | || 1 I*\/ 3 | / 296325 3*I*\/ 60785007 | | | | / 296325 3*I*\/ 60785007 | | ||- - - -------|*3 / ------ + ---------------- | | ||- - - -------|*3 / ------ + ---------------- | | | | ||- - + -------|*3 / ------ + ---------------- | | ||- - + -------|*3 / ------ + ---------------- | | | | 3 / ------ + ---------------- | \ \\ 2 2 / \/ 196 196 / \ \\ 2 2 / \/ 196 196 / / / \ \\ 2 2 / \/ 196 196 / \ \\ 2 2 / \/ 196 196 / / / \ \/ 196 196 /
$$\left(- \sqrt{11} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)} - 44 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}\right)} + \frac{\sqrt{33} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)}}{3} + i \left(- 44 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}\right)} + \frac{\sqrt{33} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)}}{3} + \sqrt{11} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)}\right)\right) \left(\sqrt{11} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)} + \frac{\sqrt{33} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)}}{3} - 44 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}\right)} + i \left(- \sqrt{11} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)} + \frac{\sqrt{33} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)}}{3} - 44 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}\right)}\right)\right) \left(- \frac{\sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}{3} - \frac{44}{\sqrt[3]{\frac{296325}{196} + \frac{3 \sqrt{60785007} i}{196}}}\right)$$
=
/ / / __________\\\
| | |\/ 60785007 |||
| |2*atan|------------|||
| | \ 98775 /||
| cos|--------------------|| / 2/3 \
2/3 3 ____ |1 \ 3 /| |/ __________\ 3 ____|
88*3 *\/ 14 *|- - -------------------------|*\\296325 + 3*I*\/ 60785007 / + 1848*\/ 14 /
\4 2 /
---------------------------------------------------------------------------------------------
________________________
3 / __________
189*\/ 98775 + I*\/ 60785007
$$\frac{88 \sqrt[3]{14} \cdot 3^{\frac{2}{3}} \left(\frac{1}{4} - \frac{\cos{\left(\frac{2 \operatorname{atan}{\left(\frac{\sqrt{60785007}}{98775} \right)}}{3} \right)}}{2}\right) \left(1848 \sqrt[3]{14} + \left(296325 + 3 \sqrt{60785007} i\right)^{\frac{2}{3}}\right)}{189 \sqrt[3]{98775 + \sqrt{60785007} i}}$$
88*3^(2/3)*14^(1/3)*(1/4 - cos(2*atan(sqrt(60785007)/98775)/3)/2)*((296325 + 3*i*sqrt(60785007))^(2/3) + 1848*14^(1/3))/(189*(98775 + i*sqrt(60785007))^(1/3))
Respuesta numérica
[src]
x1 = -7.65677687578157
x2 = 4.00253178652203
x3 = 3.65424508925953
x3 = 3.65424508925953