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Ecuación x^2+4*x-32=0
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Ecuación 9*x^2=0
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Ecuación 4*x=24+x
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Ecuación 16-7(5-x)=9
- Expresar {x} en función de y en la ecuación:
- 15*x-5*y=-5
- 16*x-15*y=4
- -5*x+6*y=-8
- 8*x-16*y=14
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Expresiones idénticas
- - cincuenta .4x+ ocho . cinco (x^ dos)+ cuarenta (x- seis)- cinco ((x- seis))^ tres = cero
- menos 50.4x más 8.05(x al cuadrado ) más 40(x menos 6) menos 5((x menos 6)) al cubo es igual a 0
- menos cincuenta .4x más ocho . cinco (x en el grado dos) más cuarenta (x menos seis) menos cinco ((x menos seis)) en el grado tres es igual a cero
- -50.4x+8.05(x2)+40(x-6)-5((x-6))3=0
- -50.4x+8.05x2+40x-6-5x-63=0
- -50.4x+8.05(x²)+40(x-6)-5((x-6))³=0
- -50.4x+8.05(x en el grado 2)+40(x-6)-5((x-6)) en el grado 3=0
- -50.4x+8.05x^2+40x-6-5x-6^3=0
- -50.4x+8.05(x^2)+40(x-6)-5((x-6))^3=O
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Expresiones semejantes
- -50.4x+8.05(x^2)-40(x-6)-5((x-6))^3=0
- -50.4x+8.05(x^2)+40(x-6)+5((x-6))^3=0
- -50.4x+8.05(x^2)+40(x+6)-5((x-6))^3=0
- -50.4x+8.05(x^2)+40(x-6)-5((x+6))^3=0
- 50.4x+8.05(x^2)+40(x-6)-5((x-6))^3=0
- -50.4x-8.05(x^2)+40(x-6)-5((x-6))^3=0
-50.4x+8.05(x^2)+40(x-6)-5((x-6))^3=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2
252*x 161*x 3
- ----- + ------ + 40*(x - 6) - 5*(x - 6) = 0
5 20
$$- 5 \left(x - 6\right)^{3} + \left(40 \left(x - 6\right) + \left(\frac{161 x^{2}}{20} - \frac{252 x}{5}\right)\right) = 0$$
Respuesta rápida
[src]
/ 1 \ / / 1 \ \
543121*re|---------------------------------------------------| |543121*im|---------------------------------------------------| / / _____________\\ / / _____________\\| / / _____________\\ / / _____________\\
| ______________________________| | | ______________________________| | |3600*\/ 11664676882 || | |3600*\/ 11664676882 ||| | |3600*\/ 11664676882 || | |3600*\/ 11664676882 ||
|/ ___\ / _____________ | | |/ ___\ / _____________ | |atan|--------------------|| |atan|--------------------||| |atan|--------------------|| |atan|--------------------||
|| 1 I*\/ 3 | / 95057081 I*\/ 11664676882 | | || 1 I*\/ 3 | / 95057081 I*\/ 11664676882 | ________ | \ 95057081 /| _________ | \ 95057081 /|| ________ | \ 95057081 /| _________ | \ 95057081 /|
||- - - -------|*3 / -------- + ----------------- | | ||- - - -------|*3 / -------- + ----------------- | \/ 543121 *sin|--------------------------| \/ 1629363 *cos|--------------------------|| \/ 543121 *cos|--------------------------| \/ 1629363 *sin|--------------------------|
1961 \\ 2 2 / \/ 27000000 7500 / | \\ 2 2 / \/ 27000000 7500 / \ 3 / \ 3 /| \ 3 / \ 3 /
x1 = ---- + -------------------------------------------------------------- + I*|-------------------------------------------------------------- - ------------------------------------------ - -------------------------------------------| - ------------------------------------------ + -------------------------------------------
300 90000 \ 90000 600 600 / 600 600
$$x_{1} = - \frac{\sqrt{543121} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} + \frac{543121 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}}\right)}}{90000} + \frac{\sqrt{1629363} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} + \frac{1961}{300} + i \left(- \frac{\sqrt{1629363} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} - \frac{\sqrt{543121} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} + \frac{543121 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}}\right)}}{90000}\right)$$
/ 1 \ / / 1 \ \
543121*re|---------------------------------------------------| |543121*im|---------------------------------------------------| / / _____________\\ / / _____________\\| / / _____________\\ / / _____________\\
| ______________________________| | | ______________________________| | |3600*\/ 11664676882 || | |3600*\/ 11664676882 ||| | |3600*\/ 11664676882 || | |3600*\/ 11664676882 ||
|/ ___\ / _____________ | | |/ ___\ / _____________ | |atan|--------------------|| |atan|--------------------||| |atan|--------------------|| |atan|--------------------||
|| 1 I*\/ 3 | / 95057081 I*\/ 11664676882 | | || 1 I*\/ 3 | / 95057081 I*\/ 11664676882 | ________ | \ 95057081 /| _________ | \ 95057081 /|| ________ | \ 95057081 /| _________ | \ 95057081 /|
||- - + -------|*3 / -------- + ----------------- | | ||- - + -------|*3 / -------- + ----------------- | \/ 543121 *sin|--------------------------| \/ 1629363 *cos|--------------------------|| \/ 543121 *cos|--------------------------| \/ 1629363 *sin|--------------------------|
1961 \\ 2 2 / \/ 27000000 7500 / | \\ 2 2 / \/ 27000000 7500 / \ 3 / \ 3 /| \ 3 / \ 3 /
x2 = ---- + -------------------------------------------------------------- + I*|-------------------------------------------------------------- - ------------------------------------------ + -------------------------------------------| - ------------------------------------------ - -------------------------------------------
300 90000 \ 90000 600 600 / 600 600
$$x_{2} = \frac{543121 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}}\right)}}{90000} - \frac{\sqrt{543121} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} - \frac{\sqrt{1629363} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} + \frac{1961}{300} + i \left(\frac{543121 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}}\right)}}{90000} - \frac{\sqrt{543121} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} + \frac{\sqrt{1629363} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600}\right)$$
______________________________
/ _____________
1961 / 95057081 I*\/ 11664676882 543121
x3 = ---- + 3 / -------- + ----------------- + -----------------------------------------
300 \/ 27000000 7500 ______________________________
/ _____________
/ 95057081 I*\/ 11664676882
90000*3 / -------- + -----------------
\/ 27000000 7500
$$x_{3} = \frac{1961}{300} + \frac{543121}{90000 \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}} + \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}$$
x3 = 1961/300 + 543121/(90000*(95057081/27000000 + sqrt(11664676882)*i/7500)^(1/3)) + (95057081/27000000 + sqrt(11664676882)*i/7500)^(1/3)
Suma y producto de raíces
[src]
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
543121*re|---------------------------------------------------| |543121*im|---------------------------------------------------| / / _____________\\ / / _____________\\| / / _____________\\ / / _____________\\ 543121*re|---------------------------------------------------| |543121*im|---------------------------------------------------| / / _____________\\ / / _____________\\| / / _____________\\ / / _____________\\
| ______________________________| | | ______________________________| | |3600*\/ 11664676882 || | |3600*\/ 11664676882 ||| | |3600*\/ 11664676882 || | |3600*\/ 11664676882 || | ______________________________| | | ______________________________| | |3600*\/ 11664676882 || | |3600*\/ 11664676882 ||| | |3600*\/ 11664676882 || | |3600*\/ 11664676882 ||
|/ ___\ / _____________ | | |/ ___\ / _____________ | |atan|--------------------|| |atan|--------------------||| |atan|--------------------|| |atan|--------------------|| |/ ___\ / _____________ | | |/ ___\ / _____________ | |atan|--------------------|| |atan|--------------------||| |atan|--------------------|| |atan|--------------------||
|| 1 I*\/ 3 | / 95057081 I*\/ 11664676882 | | || 1 I*\/ 3 | / 95057081 I*\/ 11664676882 | ________ | \ 95057081 /| _________ | \ 95057081 /|| ________ | \ 95057081 /| _________ | \ 95057081 /| || 1 I*\/ 3 | / 95057081 I*\/ 11664676882 | | || 1 I*\/ 3 | / 95057081 I*\/ 11664676882 | ________ | \ 95057081 /| _________ | \ 95057081 /|| ________ | \ 95057081 /| _________ | \ 95057081 /| ______________________________
||- - - -------|*3 / -------- + ----------------- | | ||- - - -------|*3 / -------- + ----------------- | \/ 543121 *sin|--------------------------| \/ 1629363 *cos|--------------------------|| \/ 543121 *cos|--------------------------| \/ 1629363 *sin|--------------------------| ||- - + -------|*3 / -------- + ----------------- | | ||- - + -------|*3 / -------- + ----------------- | \/ 543121 *sin|--------------------------| \/ 1629363 *cos|--------------------------|| \/ 543121 *cos|--------------------------| \/ 1629363 *sin|--------------------------| / _____________
1961 \\ 2 2 / \/ 27000000 7500 / | \\ 2 2 / \/ 27000000 7500 / \ 3 / \ 3 /| \ 3 / \ 3 / 1961 \\ 2 2 / \/ 27000000 7500 / | \\ 2 2 / \/ 27000000 7500 / \ 3 / \ 3 /| \ 3 / \ 3 / 1961 / 95057081 I*\/ 11664676882 543121
---- + -------------------------------------------------------------- + I*|-------------------------------------------------------------- - ------------------------------------------ - -------------------------------------------| - ------------------------------------------ + ------------------------------------------- + ---- + -------------------------------------------------------------- + I*|-------------------------------------------------------------- - ------------------------------------------ + -------------------------------------------| - ------------------------------------------ - ------------------------------------------- + ---- + 3 / -------- + ----------------- + -----------------------------------------
300 90000 \ 90000 600 600 / 600 600 300 90000 \ 90000 600 600 / 600 600 300 \/ 27000000 7500 ______________________________
/ _____________
/ 95057081 I*\/ 11664676882
90000*3 / -------- + -----------------
\/ 27000000 7500
$$\left(\frac{1961}{300} + \frac{543121}{90000 \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}} + \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}\right) + \left(\left(- \frac{\sqrt{543121} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} + \frac{543121 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}}\right)}}{90000} + \frac{\sqrt{1629363} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} + \frac{1961}{300} + i \left(- \frac{\sqrt{1629363} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} - \frac{\sqrt{543121} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} + \frac{543121 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}}\right)}}{90000}\right)\right) + \left(\frac{543121 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}}\right)}}{90000} - \frac{\sqrt{543121} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} - \frac{\sqrt{1629363} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} + \frac{1961}{300} + i \left(\frac{543121 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}}\right)}}{90000} - \frac{\sqrt{543121} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} + \frac{\sqrt{1629363} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600}\right)\right)\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
543121*re|---------------------------------------------------| 543121*re|---------------------------------------------------| |543121*im|---------------------------------------------------| / / _____________\\ / / _____________\\| |543121*im|---------------------------------------------------| / / _____________\\ / / _____________\\| / / _____________\\
| ______________________________| | ______________________________| | | ______________________________| | |3600*\/ 11664676882 || | |3600*\/ 11664676882 ||| | | ______________________________| | |3600*\/ 11664676882 || | |3600*\/ 11664676882 ||| | |3600*\/ 11664676882 ||
|/ ___\ / _____________ | |/ ___\ / _____________ | | |/ ___\ / _____________ | |atan|--------------------|| |atan|--------------------||| | |/ ___\ / _____________ | |atan|--------------------|| |atan|--------------------||| |atan|--------------------||
______________________________ || 1 I*\/ 3 | / 95057081 I*\/ 11664676882 | || 1 I*\/ 3 | / 95057081 I*\/ 11664676882 | | || 1 I*\/ 3 | / 95057081 I*\/ 11664676882 | ________ | \ 95057081 /| _________ | \ 95057081 /|| | || 1 I*\/ 3 | / 95057081 I*\/ 11664676882 | ________ | \ 95057081 /| _________ | \ 95057081 /|| ________ | \ 95057081 /|
/ _____________ ||- - + -------|*3 / -------- + ----------------- | ||- - - -------|*3 / -------- + ----------------- | | ||- - + -------|*3 / -------- + ----------------- | \/ 543121 *sin|--------------------------| \/ 1629363 *cos|--------------------------|| | ||- - - -------|*3 / -------- + ----------------- | \/ 543121 *sin|--------------------------| \/ 1629363 *cos|--------------------------|| \/ 543121 *cos|--------------------------|
1961 / 95057081 I*\/ 11664676882 543121 \\ 2 2 / \/ 27000000 7500 / \\ 2 2 / \/ 27000000 7500 / | \\ 2 2 / \/ 27000000 7500 / \ 3 / \ 3 /| | \\ 2 2 / \/ 27000000 7500 / \ 3 / \ 3 /| \ 3 /
---- + 3 / -------- + ----------------- + ----------------------------------------- + -------------------------------------------------------------- + -------------------------------------------------------------- + I*|-------------------------------------------------------------- - ------------------------------------------ + -------------------------------------------| + I*|-------------------------------------------------------------- - ------------------------------------------ - -------------------------------------------| - ------------------------------------------
100 \/ 27000000 7500 ______________________________ 90000 90000 \ 90000 600 600 / \ 90000 600 600 / 300
/ _____________
/ 95057081 I*\/ 11664676882
90000*3 / -------- + -----------------
\/ 27000000 7500
$$- \frac{\sqrt{543121} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{300} + \frac{543121 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}}\right)}}{90000} + \frac{543121 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}}\right)}}{90000} + \frac{1961}{100} + \frac{543121}{90000 \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}} + i \left(- \frac{\sqrt{1629363} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} - \frac{\sqrt{543121} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} + \frac{543121 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}}\right)}}{90000}\right) + i \left(\frac{543121 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}}\right)}}{90000} - \frac{\sqrt{543121} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} + \frac{\sqrt{1629363} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600}\right) + \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}$$
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \
| 543121*re|---------------------------------------------------| |543121*im|---------------------------------------------------| / / _____________\\ / / _____________\\| / / _____________\\ / / _____________\\| | 543121*re|---------------------------------------------------| |543121*im|---------------------------------------------------| / / _____________\\ / / _____________\\| / / _____________\\ / / _____________\\|
| | ______________________________| | | ______________________________| | |3600*\/ 11664676882 || | |3600*\/ 11664676882 ||| | |3600*\/ 11664676882 || | |3600*\/ 11664676882 ||| | | ______________________________| | | ______________________________| | |3600*\/ 11664676882 || | |3600*\/ 11664676882 ||| | |3600*\/ 11664676882 || | |3600*\/ 11664676882 |||
| |/ ___\ / _____________ | | |/ ___\ / _____________ | |atan|--------------------|| |atan|--------------------||| |atan|--------------------|| |atan|--------------------||| | |/ ___\ / _____________ | | |/ ___\ / _____________ | |atan|--------------------|| |atan|--------------------||| |atan|--------------------|| |atan|--------------------|||
| || 1 I*\/ 3 | / 95057081 I*\/ 11664676882 | | || 1 I*\/ 3 | / 95057081 I*\/ 11664676882 | ________ | \ 95057081 /| _________ | \ 95057081 /|| ________ | \ 95057081 /| _________ | \ 95057081 /|| | || 1 I*\/ 3 | / 95057081 I*\/ 11664676882 | | || 1 I*\/ 3 | / 95057081 I*\/ 11664676882 | ________ | \ 95057081 /| _________ | \ 95057081 /|| ________ | \ 95057081 /| _________ | \ 95057081 /|| / ______________________________ \
| ||- - - -------|*3 / -------- + ----------------- | | ||- - - -------|*3 / -------- + ----------------- | \/ 543121 *sin|--------------------------| \/ 1629363 *cos|--------------------------|| \/ 543121 *cos|--------------------------| \/ 1629363 *sin|--------------------------|| | ||- - + -------|*3 / -------- + ----------------- | | ||- - + -------|*3 / -------- + ----------------- | \/ 543121 *sin|--------------------------| \/ 1629363 *cos|--------------------------|| \/ 543121 *cos|--------------------------| \/ 1629363 *sin|--------------------------|| | / _____________ |
|1961 \\ 2 2 / \/ 27000000 7500 / | \\ 2 2 / \/ 27000000 7500 / \ 3 / \ 3 /| \ 3 / \ 3 /| |1961 \\ 2 2 / \/ 27000000 7500 / | \\ 2 2 / \/ 27000000 7500 / \ 3 / \ 3 /| \ 3 / \ 3 /| |1961 / 95057081 I*\/ 11664676882 543121 |
|---- + -------------------------------------------------------------- + I*|-------------------------------------------------------------- - ------------------------------------------ - -------------------------------------------| - ------------------------------------------ + -------------------------------------------|*|---- + -------------------------------------------------------------- + I*|-------------------------------------------------------------- - ------------------------------------------ + -------------------------------------------| - ------------------------------------------ - -------------------------------------------|*|---- + 3 / -------- + ----------------- + -----------------------------------------|
\300 90000 \ 90000 600 600 / 600 600 / \300 90000 \ 90000 600 600 / 600 600 / |300 \/ 27000000 7500 ______________________________|
| / _____________ |
| / 95057081 I*\/ 11664676882 |
| 90000*3 / -------- + ----------------- |
\ \/ 27000000 7500 /
$$\left(- \frac{\sqrt{543121} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} + \frac{543121 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}}\right)}}{90000} + \frac{\sqrt{1629363} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} + \frac{1961}{300} + i \left(- \frac{\sqrt{1629363} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} - \frac{\sqrt{543121} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} + \frac{543121 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}}\right)}}{90000}\right)\right) \left(\frac{543121 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}}\right)}}{90000} - \frac{\sqrt{543121} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} - \frac{\sqrt{1629363} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} + \frac{1961}{300} + i \left(\frac{543121 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}}\right)}}{90000} - \frac{\sqrt{543121} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600} + \frac{\sqrt{1629363} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)}}{600}\right)\right) \left(\frac{1961}{300} + \frac{543121}{90000 \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}} + \sqrt[3]{\frac{95057081}{27000000} + \frac{\sqrt{11664676882} i}{7500}}\right)$$
=
/ / / _____________\\ / / _____________\\\
| | |3600*\/ 11664676882 || | |3600*\/ 11664676882 |||
/ ___________________________________ / ___________________________________\\ | |2*atan|--------------------|| |atan|--------------------|||
| 3 / _____________ | 3 / _____________ || | | \ 95057081 /| ________ | \ 95057081 /||
\543121 + \/ 95057081 + 3600*I*\/ 11664676882 *\1961 + \/ 95057081 + 3600*I*\/ 11664676882 //*|3302400 + 1086242*cos|----------------------------| - 3922*\/ 543121 *cos|--------------------------||
\ \ 3 / \ 3 //
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
___________________________________
3 / _____________
27000000*\/ 95057081 + 3600*I*\/ 11664676882
$$\frac{\left(543121 + \left(1961 + \sqrt[3]{95057081 + 3600 \sqrt{11664676882} i}\right) \sqrt[3]{95057081 + 3600 \sqrt{11664676882} i}\right) \left(- 3922 \sqrt{543121} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)} + 1086242 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{3600 \sqrt{11664676882}}{95057081} \right)}}{3} \right)} + 3302400\right)}{27000000 \sqrt[3]{95057081 + 3600 \sqrt{11664676882} i}}$$
(543121 + (95057081 + 3600*i*sqrt(11664676882))^(1/3)*(1961 + (95057081 + 3600*i*sqrt(11664676882))^(1/3)))*(3302400 + 1086242*cos(2*atan(3600*sqrt(11664676882)/95057081)/3) - 3922*sqrt(543121)*cos(atan(3600*sqrt(11664676882)/95057081)/3))/(27000000*(95057081 + 3600*i*sqrt(11664676882))^(1/3))
Respuesta numérica
[src]
x1 = 6.14439910708268
x2 = 10.9741007134295
x3 = 2.49150017948783
x3 = 2.49150017948783