Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
-
Ecuación x^2+4=5x
-
Ecuación x(x^2+2x+1)=6(x+1)
-
Ecuación 4x+1=-3x+15
- Expresar {x} en función de y en la ecuación:
- -6*x-20*y=8
- 13*x-12*y=19
- -17*x-15*y=-17
- -9*x+11*y=9
-
Expresiones idénticas
- (- cinco x- tres)(dos x-5) dos *x^2+ seis *x+ nueve = cero
- ( menos 5x menos 3)(2x menos 5)2 multiplicar por x al cuadrado más 6 multiplicar por x más 9 es igual a 0
- ( menos cinco x menos tres)(dos x menos 5) dos multiplicar por x al cuadrado más seis multiplicar por x más nueve es igual a cero
- (-5x-3)(2x-5)2*x2+6*x+9=0
- -5x-32x-52*x2+6*x+9=0
- (-5x-3)(2x-5)2*x²+6*x+9=0
- (-5x-3)(2x-5)2*x en el grado 2+6*x+9=0
- (-5x-3)(2x-5)2x^2+6x+9=0
- (-5x-3)(2x-5)2x2+6x+9=0
- -5x-32x-52x2+6x+9=0
- -5x-32x-52x^2+6x+9=0
- (-5x-3)(2x-5)2*x^2+6*x+9=O
-
Expresiones semejantes
- (5x-3)(2x-5)2*x^2+6*x+9=0
- (-5x-3)(2x-5)2*x^2+6*x-9=0
- (-5x-3)(2x+5)2*x^2+6*x+9=0
- (-5x-3)(2x-5)2*x^2-6*x+9=0
- (-5x+3)(2x-5)2*x^2+6*x+9=0
(-5x-3)(2x-5)2*x^2+6*x+9=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 (-5*x - 3)*(2*x - 5)*2*x + 6*x + 9 = 0
$$\left(x^{2} \cdot 2 \left(- 5 x - 3\right) \left(2 x - 5\right) + 6 x\right) + 9 = 0$$
Suma y producto de raíces
[src]
suma
____________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________
/ _______________________ / _______________________ / _______________________ / _______________________
/ / _________ / / _________ / / _________ / / _________
/ 761 / 6599 \/ 1842649 27 20659 / 761 / 6599 \/ 1842649 27 20659 / 761 / 6599 \/ 1842649 27 20659 / 761 / 6599 \/ 1842649 27 20659
/ --- - 2*3 / - ----- + ----------- + -------------------------------- + ---------------------------------------------------------------------------------------- / --- - 2*3 / - ----- + ----------- + -------------------------------- + ---------------------------------------------------------------------------------------- I* / - --- + 2*3 / - ----- + ----------- - -------------------------------- + ---------------------------------------------------------------------------------------- I* / - --- + 2*3 / - ----- + ----------- - -------------------------------- + ----------------------------------------------------------------------------------------
_________________________________________________________________________ / 200 \/ 32000 6400 _______________________ _________________________________________________________________________ _________________________________________________________________________ / 200 \/ 32000 6400 _______________________ _________________________________________________________________________ _________________________________________________________________________ / 200 \/ 32000 6400 _______________________ _________________________________________________________________________ _________________________________________________________________________ / 200 \/ 32000 6400 _______________________ _________________________________________________________________________
/ _______________________ / / _________ / _______________________ / _______________________ / / _________ / _______________________ / _______________________ / / _________ / _______________________ / _______________________ / / _________ / _______________________
/ / _________ / / 6599 \/ 1842649 / / _________ / / _________ / / 6599 \/ 1842649 / / _________ / / _________ / / 6599 \/ 1842649 / / _________ / / _________ / / 6599 \/ 1842649 / / _________
/ 761 / 6599 \/ 1842649 27 / 100*3 / - ----- + ----------- / 761 / 6599 \/ 1842649 27 / 761 / 6599 \/ 1842649 27 / 100*3 / - ----- + ----------- / 761 / 6599 \/ 1842649 27 / 761 / 6599 \/ 1842649 27 / 100*3 / - ----- + ----------- / 761 / 6599 \/ 1842649 27 / 761 / 6599 \/ 1842649 27 / 100*3 / - ----- + ----------- / 761 / 6599 \/ 1842649 27
/ --- + 2*3 / - ----- + ----------- - -------------------------------- / \/ 32000 6400 4000* / --- + 2*3 / - ----- + ----------- - -------------------------------- / --- + 2*3 / - ----- + ----------- - -------------------------------- / \/ 32000 6400 4000* / --- + 2*3 / - ----- + ----------- - -------------------------------- / --- + 2*3 / - ----- + ----------- - -------------------------------- / \/ 32000 6400 4000* / --- + 2*3 / - ----- + ----------- - -------------------------------- / --- + 2*3 / - ----- + ----------- - -------------------------------- / \/ 32000 6400 4000* / --- + 2*3 / - ----- + ----------- - --------------------------------
/ 400 \/ 32000 6400 _______________________ / / 400 \/ 32000 6400 _______________________ / 400 \/ 32000 6400 _______________________ / / 400 \/ 32000 6400 _______________________ / 400 \/ 32000 6400 _______________________ / / 400 \/ 32000 6400 _______________________ / 400 \/ 32000 6400 _______________________ / / 400 \/ 32000 6400 _______________________
/ / _________ / / / _________ / / _________ / / / _________ / / _________ / / / _________ / / _________ / / / _________
/ / 6599 \/ 1842649 / / / 6599 \/ 1842649 / / 6599 \/ 1842649 / / / 6599 \/ 1842649 / / 6599 \/ 1842649 / / / 6599 \/ 1842649 / / 6599 \/ 1842649 / / / 6599 \/ 1842649
/ 100*3 / - ----- + ----------- / / 100*3 / - ----- + ----------- / 100*3 / - ----- + ----------- / / 100*3 / - ----- + ----------- / 100*3 / - ----- + ----------- / / 100*3 / - ----- + ----------- / 100*3 / - ----- + ----------- / / 100*3 / - ----- + -----------
19 \/ \/ 32000 6400 \/ \/ \/ 32000 6400 19 \/ \/ 32000 6400 \/ \/ \/ 32000 6400 19 \/ \/ 32000 6400 \/ \/ \/ 32000 6400 19 \/ \/ 32000 6400 \/ \/ \/ 32000 6400
-- + ----------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -- + ----------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -- - ----------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -- - ----------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
40 2 2 40 2 2 40 2 2 40 2 2
$$\left(\left(\left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + \frac{761}{200} + \frac{20659}{4000 \sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}}}{2} + \frac{\sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}{2} + \frac{19}{40}\right) + \left(\frac{\sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}{2} + \frac{19}{40} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + \frac{761}{200} + \frac{20659}{4000 \sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}}}{2}\right)\right) + \left(- \frac{\sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}{2} + \frac{19}{40} - \frac{i \sqrt{- \frac{761}{200} - \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{20659}{4000 \sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}}}{2}\right)\right) + \left(- \frac{\sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}{2} + \frac{19}{40} + \frac{i \sqrt{- \frac{761}{200} - \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{20659}{4000 \sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}}}{2}\right)$$
=
19 -- 10
$$\frac{19}{10}$$
producto
/ ____________________________________________________________________________________________________________________________________________________________________\ / ____________________________________________________________________________________________________________________________________________________________________\ / ______________________________________________________________________________________________________________________________________________________________________\ / ______________________________________________________________________________________________________________________________________________________________________\ | / _______________________ | | / _______________________ | | / _______________________ | | / _______________________ | | / / _________ | | / / _________ | | / / _________ | | / / _________ | | / 761 / 6599 \/ 1842649 27 20659 | | / 761 / 6599 \/ 1842649 27 20659 | | / 761 / 6599 \/ 1842649 27 20659 | | / 761 / 6599 \/ 1842649 27 20659 | | / --- - 2*3 / - ----- + ----------- + -------------------------------- + ---------------------------------------------------------------------------------------- | | / --- - 2*3 / - ----- + ----------- + -------------------------------- + ---------------------------------------------------------------------------------------- | | I* / - --- + 2*3 / - ----- + ----------- - -------------------------------- + ---------------------------------------------------------------------------------------- | | I* / - --- + 2*3 / - ----- + ----------- - -------------------------------- + ---------------------------------------------------------------------------------------- | | _________________________________________________________________________ / 200 \/ 32000 6400 _______________________ _________________________________________________________________________ | | _________________________________________________________________________ / 200 \/ 32000 6400 _______________________ _________________________________________________________________________ | | _________________________________________________________________________ / 200 \/ 32000 6400 _______________________ _________________________________________________________________________ | | _________________________________________________________________________ / 200 \/ 32000 6400 _______________________ _________________________________________________________________________ | | / _______________________ / / _________ / _______________________ | | / _______________________ / / _________ / _______________________ | | / _______________________ / / _________ / _______________________ | | / _______________________ / / _________ / _______________________ | | / / _________ / / 6599 \/ 1842649 / / _________ | | / / _________ / / 6599 \/ 1842649 / / _________ | | / / _________ / / 6599 \/ 1842649 / / _________ | | / / _________ / / 6599 \/ 1842649 / / _________ | | / 761 / 6599 \/ 1842649 27 / 100*3 / - ----- + ----------- / 761 / 6599 \/ 1842649 27 | | / 761 / 6599 \/ 1842649 27 / 100*3 / - ----- + ----------- / 761 / 6599 \/ 1842649 27 | | / 761 / 6599 \/ 1842649 27 / 100*3 / - ----- + ----------- / 761 / 6599 \/ 1842649 27 | | / 761 / 6599 \/ 1842649 27 / 100*3 / - ----- + ----------- / 761 / 6599 \/ 1842649 27 | | / --- + 2*3 / - ----- + ----------- - -------------------------------- / \/ 32000 6400 4000* / --- + 2*3 / - ----- + ----------- - -------------------------------- | | / --- + 2*3 / - ----- + ----------- - -------------------------------- / \/ 32000 6400 4000* / --- + 2*3 / - ----- + ----------- - -------------------------------- | | / --- + 2*3 / - ----- + ----------- - -------------------------------- / \/ 32000 6400 4000* / --- + 2*3 / - ----- + ----------- - -------------------------------- | | / --- + 2*3 / - ----- + ----------- - -------------------------------- / \/ 32000 6400 4000* / --- + 2*3 / - ----- + ----------- - -------------------------------- | | / 400 \/ 32000 6400 _______________________ / / 400 \/ 32000 6400 _______________________ | | / 400 \/ 32000 6400 _______________________ / / 400 \/ 32000 6400 _______________________ | | / 400 \/ 32000 6400 _______________________ / / 400 \/ 32000 6400 _______________________ | | / 400 \/ 32000 6400 _______________________ / / 400 \/ 32000 6400 _______________________ | | / / _________ / / / _________ | | / / _________ / / / _________ | | / / _________ / / / _________ | | / / _________ / / / _________ | | / / 6599 \/ 1842649 / / / 6599 \/ 1842649 | | / / 6599 \/ 1842649 / / / 6599 \/ 1842649 | | / / 6599 \/ 1842649 / / / 6599 \/ 1842649 | | / / 6599 \/ 1842649 / / / 6599 \/ 1842649 | | / 100*3 / - ----- + ----------- / / 100*3 / - ----- + ----------- | | / 100*3 / - ----- + ----------- / / 100*3 / - ----- + ----------- | | / 100*3 / - ----- + ----------- / / 100*3 / - ----- + ----------- | | / 100*3 / - ----- + ----------- / / 100*3 / - ----- + ----------- | |19 \/ \/ 32000 6400 \/ \/ \/ 32000 6400 | |19 \/ \/ 32000 6400 \/ \/ \/ 32000 6400 | |19 \/ \/ 32000 6400 \/ \/ \/ 32000 6400 | |19 \/ \/ 32000 6400 \/ \/ \/ 32000 6400 | |-- + ----------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|-- + ----------------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|-- - ----------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|-- - ----------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \40 2 2 / \40 2 2 / \40 2 2 / \40 2 2 /
$$\left(\frac{\sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}{2} + \frac{19}{40} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + \frac{761}{200} + \frac{20659}{4000 \sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}}}{2}\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + \frac{761}{200} + \frac{20659}{4000 \sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}}}{2} + \frac{\sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}{2} + \frac{19}{40}\right) \left(- \frac{\sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}{2} + \frac{19}{40} - \frac{i \sqrt{- \frac{761}{200} - \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{20659}{4000 \sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}}}{2}\right) \left(- \frac{\sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}{2} + \frac{19}{40} + \frac{i \sqrt{- \frac{761}{200} - \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{20659}{4000 \sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}}}{2}\right)$$
=
-9/20
$$- \frac{9}{20}$$
-9/20
Respuesta rápida
[src]
____________________________________________________________________________________________________________________________________________________________________
/ _______________________
/ / _________
/ 761 / 6599 \/ 1842649 27 20659
/ --- - 2*3 / - ----- + ----------- + -------------------------------- + ----------------------------------------------------------------------------------------
_________________________________________________________________________ / 200 \/ 32000 6400 _______________________ _________________________________________________________________________
/ _______________________ / / _________ / _______________________
/ / _________ / / 6599 \/ 1842649 / / _________
/ 761 / 6599 \/ 1842649 27 / 100*3 / - ----- + ----------- / 761 / 6599 \/ 1842649 27
/ --- + 2*3 / - ----- + ----------- - -------------------------------- / \/ 32000 6400 4000* / --- + 2*3 / - ----- + ----------- - --------------------------------
/ 400 \/ 32000 6400 _______________________ / / 400 \/ 32000 6400 _______________________
/ / _________ / / / _________
/ / 6599 \/ 1842649 / / / 6599 \/ 1842649
/ 100*3 / - ----- + ----------- / / 100*3 / - ----- + -----------
19 \/ \/ 32000 6400 \/ \/ \/ 32000 6400
x1 = -- + ----------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
40 2 2
$$x_{1} = \frac{\sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}{2} + \frac{19}{40} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + \frac{761}{200} + \frac{20659}{4000 \sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}}}{2}$$
____________________________________________________________________________________________________________________________________________________________________
/ _______________________
/ / _________
/ 761 / 6599 \/ 1842649 27 20659
/ --- - 2*3 / - ----- + ----------- + -------------------------------- + ----------------------------------------------------------------------------------------
_________________________________________________________________________ / 200 \/ 32000 6400 _______________________ _________________________________________________________________________
/ _______________________ / / _________ / _______________________
/ / _________ / / 6599 \/ 1842649 / / _________
/ 761 / 6599 \/ 1842649 27 / 100*3 / - ----- + ----------- / 761 / 6599 \/ 1842649 27
/ --- + 2*3 / - ----- + ----------- - -------------------------------- / \/ 32000 6400 4000* / --- + 2*3 / - ----- + ----------- - --------------------------------
/ 400 \/ 32000 6400 _______________________ / / 400 \/ 32000 6400 _______________________
/ / _________ / / / _________
/ / 6599 \/ 1842649 / / / 6599 \/ 1842649
/ 100*3 / - ----- + ----------- / / 100*3 / - ----- + -----------
19 \/ \/ 32000 6400 \/ \/ \/ 32000 6400
x2 = -- + ----------------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
40 2 2
$$x_{2} = - \frac{\sqrt{- 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + \frac{761}{200} + \frac{20659}{4000 \sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}}}{2} + \frac{\sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}{2} + \frac{19}{40}$$
______________________________________________________________________________________________________________________________________________________________________
/ _______________________
/ / _________
/ 761 / 6599 \/ 1842649 27 20659
I* / - --- + 2*3 / - ----- + ----------- - -------------------------------- + ----------------------------------------------------------------------------------------
_________________________________________________________________________ / 200 \/ 32000 6400 _______________________ _________________________________________________________________________
/ _______________________ / / _________ / _______________________
/ / _________ / / 6599 \/ 1842649 / / _________
/ 761 / 6599 \/ 1842649 27 / 100*3 / - ----- + ----------- / 761 / 6599 \/ 1842649 27
/ --- + 2*3 / - ----- + ----------- - -------------------------------- / \/ 32000 6400 4000* / --- + 2*3 / - ----- + ----------- - --------------------------------
/ 400 \/ 32000 6400 _______________________ / / 400 \/ 32000 6400 _______________________
/ / _________ / / / _________
/ / 6599 \/ 1842649 / / / 6599 \/ 1842649
/ 100*3 / - ----- + ----------- / / 100*3 / - ----- + -----------
19 \/ \/ 32000 6400 \/ \/ \/ 32000 6400
x3 = -- - ----------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
40 2 2
$$x_{3} = - \frac{\sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}{2} + \frac{19}{40} - \frac{i \sqrt{- \frac{761}{200} - \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{20659}{4000 \sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}}}{2}$$
______________________________________________________________________________________________________________________________________________________________________
/ _______________________
/ / _________
/ 761 / 6599 \/ 1842649 27 20659
I* / - --- + 2*3 / - ----- + ----------- - -------------------------------- + ----------------------------------------------------------------------------------------
_________________________________________________________________________ / 200 \/ 32000 6400 _______________________ _________________________________________________________________________
/ _______________________ / / _________ / _______________________
/ / _________ / / 6599 \/ 1842649 / / _________
/ 761 / 6599 \/ 1842649 27 / 100*3 / - ----- + ----------- / 761 / 6599 \/ 1842649 27
/ --- + 2*3 / - ----- + ----------- - -------------------------------- / \/ 32000 6400 4000* / --- + 2*3 / - ----- + ----------- - --------------------------------
/ 400 \/ 32000 6400 _______________________ / / 400 \/ 32000 6400 _______________________
/ / _________ / / / _________
/ / 6599 \/ 1842649 / / / 6599 \/ 1842649
/ 100*3 / - ----- + ----------- / / 100*3 / - ----- + -----------
19 \/ \/ 32000 6400 \/ \/ \/ 32000 6400
x4 = -- - ----------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
40 2 2
$$x_{4} = - \frac{\sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}{2} + \frac{19}{40} + \frac{i \sqrt{- \frac{761}{200} - \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{20659}{4000 \sqrt{- \frac{27}{100 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}}} + 2 \sqrt[3]{- \frac{6599}{32000} + \frac{\sqrt{1842649}}{6400}} + \frac{761}{400}}}}}{2}$$
x4 = -sqrt(-27/(100*(-6599/32000 + sqrt(1842649)/6400)^(1/3)) + 2*(-6599/32000 + sqrt(1842649)/6400)^(1/3) + 761/400)/2 + 19/40 + i*sqrt(-761/200 - 27/(100*(-6599/32000 + sqrt(1842649)/6400)^(1/3)) + 2*(-6599/32000 + sqrt(1842649)/6400)^(1/3) + 20659/(4000*sqrt(-27/(100*(-6599/32000 + sqrt(1842649)/6400)^(1/3)) + 2*(-6599/32000 + sqrt(1842649)/6400)^(1/3) + 761/400)))/2
Respuesta numérica
[src]
x1 = 2.55887053721906
x2 = -0.732660795963173
x3 = 0.0368951293720557 + 0.488534936996283*i
x4 = 0.0368951293720557 - 0.488534936996283*i
x4 = 0.0368951293720557 - 0.488534936996283*i