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- La ecuación:
-
Ecuación 3*x^2-x+2=0
-
Ecuación 1-x/2=x/3
-
Ecuación 3*x^2-9=0
-
Ecuación 0,084:(6,2-x)=1,2
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- -17*x+2*y=9
- 10*x-15*y=16
-
Expresiones idénticas
- ((diez *x*((x- dos)/ dos , cinco))^ dos)/(cinco *(uno -x)*(uno -(x- dos)/ dos , cinco))= cero , doscientos treinta y ocho
- ((10 multiplicar por x multiplicar por ((x menos 2) dividir por 2,5)) al cuadrado ) dividir por (5 multiplicar por (1 menos x) multiplicar por (1 menos (x menos 2) dividir por 2,5)) es igual a 0,238
- ((diez multiplicar por x multiplicar por ((x menos dos) dividir por dos , cinco)) en el grado dos) dividir por (cinco multiplicar por (uno menos x) multiplicar por (uno menos (x menos dos) dividir por dos , cinco)) es igual a cero , doscientos treinta y ocho
- ((10*x*((x-2)/2,5))2)/(5*(1-x)*(1-(x-2)/2,5))=0,238
- 10*x*x-2/2,52/5*1-x*1-x-2/2,5=0,238
- ((10*x*((x-2)/2,5))²)/(5*(1-x)*(1-(x-2)/2,5))=0,238
- ((10*x*((x-2)/2,5)) en el grado 2)/(5*(1-x)*(1-(x-2)/2,5))=0,238
- ((10x((x-2)/2,5))^2)/(5(1-x)(1-(x-2)/2,5))=0,238
- ((10x((x-2)/2,5))2)/(5(1-x)(1-(x-2)/2,5))=0,238
- 10xx-2/2,52/51-x1-x-2/2,5=0,238
- 10xx-2/2,5^2/51-x1-x-2/2,5=0,238
- ((10*x*((x-2)/2,5))^2)/(5*(1-x)*(1-(x-2)/2,5))=O,238
- ((10*x*((x-2) dividir por 2,5))^2) dividir por (5*(1-x)*(1-(x-2) dividir por 2,5))=0,238
-
Expresiones semejantes
- ((10*x*((x-2)/2,5))^2)/(5*(1-x)*(1+(x-2)/2,5))=0,238
- ((10*x*((x-2)/2,5))^2)/(5*(1+x)*(1-(x-2)/2,5))=0,238
- ((10*x*((x-2)/2,5))^2)/(5*(1-x)*(1-(x+2)/2,5))=0,238
- ((10*x*((x+2)/2,5))^2)/(5*(1-x)*(1-(x-2)/2,5))=0,238
((10*x*((x-2)/2,5))^2)/(5*(1-x)*(1-(x-2)/2,5))=0,238 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2
/ x - 2\
|10*x*-----|
\ 5/2 / 119
--------------------- = ---
/ x - 2\ 500
5*(1 - x)*|1 - -----|
\ 5/2 /
$$\frac{\left(10 x \frac{x - 2}{\frac{5}{2}}\right)^{2}}{5 \left(1 - x\right) \left(- \frac{x - 2}{\frac{5}{2}} + 1\right)} = \frac{119}{500}$$
Suma y producto de raíces
[src]
suma
__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ ___________________________________________ / ___________________________________________ / ___________________________________________ / ___________________________________________
/ / __________________ / / __________________ / / __________________ / / __________________
/ 8119 / 4150721952341 119*\/ 5595817607218770 257918161 833 / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 833 / 8119 / 4150721952341 119*\/ 5595817607218770 833 257918161 / 8119 / 4150721952341 119*\/ 5595817607218770 833 257918161
/ ---- - 2*3 / -------------- + ------------------------ - ---------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------- / ---- - 2*3 / -------------- + ------------------------ - ---------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------- I* / - ---- + 2*3 / -------------- + ------------------------ + --------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------- I* / - ---- + 2*3 / -------------- + ------------------------ + --------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------
________________________________________________________________________________________________________________________ / 3000 \/ 13824000000000 460800000000 ___________________________________________ ________________________________________________________________________________________________________________________ / 3000 \/ 13824000000000 460800000000 ___________________________________________ ________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________ / 3000 \/ 13824000000000 460800000000 ________________________________________________________________________________________________________________________ ___________________________________________ ________________________________________________________________________________________________________________________ / 3000 \/ 13824000000000 460800000000 ________________________________________________________________________________________________________________________ ___________________________________________
/ ___________________________________________ / / __________________ / ___________________________________________ / / __________________ / ___________________________________________ / ___________________________________________ / ___________________________________________ / / ___________________________________________ / __________________ / ___________________________________________ / / ___________________________________________ / __________________
/ / __________________ / / 4150721952341 119*\/ 5595817607218770 / / __________________ / / 4150721952341 119*\/ 5595817607218770 / / __________________ / / __________________ / / __________________ / / / __________________ / 4150721952341 119*\/ 5595817607218770 / / __________________ / / / __________________ / 4150721952341 119*\/ 5595817607218770
/ 8119 / 4150721952341 119*\/ 5595817607218770 257918161 / 288000000*3 / -------------- + ------------------------ / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 / 288000000*3 / -------------- + ------------------------ / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 / / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 288000000*3 / -------------- + ------------------------ / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 / / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 288000000*3 / -------------- + ------------------------
/ ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- / \/ 13824000000000 460800000000 4000* / ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- / \/ 13824000000000 460800000000 4000* / ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- / ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- / ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- / 4000* / ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- \/ 13824000000000 460800000000 / ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- / 4000* / ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- \/ 13824000000000 460800000000
/ 6000 \/ 13824000000000 460800000000 ___________________________________________ / / 6000 \/ 13824000000000 460800000000 ___________________________________________ / / 6000 \/ 13824000000000 460800000000 ___________________________________________ / 6000 \/ 13824000000000 460800000000 ___________________________________________ / 6000 \/ 13824000000000 460800000000 ___________________________________________ / / 6000 \/ 13824000000000 460800000000 ___________________________________________ / 6000 \/ 13824000000000 460800000000 ___________________________________________ / / 6000 \/ 13824000000000 460800000000 ___________________________________________
/ / __________________ / / / __________________ / / / __________________ / / __________________ / / __________________ / / / __________________ / / __________________ / / / __________________
/ / 4150721952341 119*\/ 5595817607218770 / / / 4150721952341 119*\/ 5595817607218770 / / / 4150721952341 119*\/ 5595817607218770 / / 4150721952341 119*\/ 5595817607218770 / / 4150721952341 119*\/ 5595817607218770 / / / 4150721952341 119*\/ 5595817607218770 / / 4150721952341 119*\/ 5595817607218770 / / / 4150721952341 119*\/ 5595817607218770
/ 288000000*3 / -------------- + ------------------------ / / 288000000*3 / -------------- + ------------------------ / / 288000000*3 / -------------- + ------------------------ / 288000000*3 / -------------- + ------------------------ / 288000000*3 / -------------- + ------------------------ / / 288000000*3 / -------------- + ------------------------ / 288000000*3 / -------------- + ------------------------ / / 288000000*3 / -------------- + ------------------------
\/ \/ 13824000000000 460800000000 \/ \/ \/ 13824000000000 460800000000 \/ \/ \/ 13824000000000 460800000000 \/ \/ 13824000000000 460800000000 \/ \/ 13824000000000 460800000000 \/ \/ \/ 13824000000000 460800000000 \/ \/ 13824000000000 460800000000 \/ \/ \/ 13824000000000 460800000000
1 - ---------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + 1 + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------- + 1 + ---------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + 1 + ---------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2 2 2 2 2 2
$$\left(\left(\left(- \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} - \frac{\sqrt{- 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}} - \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{8119}{3000}}}{2} + 1\right) + \left(- \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}} - \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{8119}{3000}}}{2} + 1\right)\right) + \left(1 + \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} - \frac{i \sqrt{- \frac{8119}{3000} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2}\right)\right) + \left(1 + \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} + \frac{i \sqrt{- \frac{8119}{3000} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2}\right)$$
=
4
$$4$$
producto
/ __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ / __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ / ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ / ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ | / ___________________________________________ | | / ___________________________________________ | | / ___________________________________________ | | / ___________________________________________ | | / / __________________ | | / / __________________ | | / / __________________ | | / / __________________ | | / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 833 | | / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 833 | | / 8119 / 4150721952341 119*\/ 5595817607218770 833 257918161 | | / 8119 / 4150721952341 119*\/ 5595817607218770 833 257918161 | | / ---- - 2*3 / -------------- + ------------------------ - ---------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------- | | / ---- - 2*3 / -------------- + ------------------------ - ---------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------- | | I* / - ---- + 2*3 / -------------- + ------------------------ + --------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------- | | I* / - ---- + 2*3 / -------------- + ------------------------ + --------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------- | | ________________________________________________________________________________________________________________________ / 3000 \/ 13824000000000 460800000000 ___________________________________________ ________________________________________________________________________________________________________________________ | | / 3000 \/ 13824000000000 460800000000 ___________________________________________ ________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________| | ________________________________________________________________________________________________________________________ / 3000 \/ 13824000000000 460800000000 ________________________________________________________________________________________________________________________ ___________________________________________ | | ________________________________________________________________________________________________________________________ / 3000 \/ 13824000000000 460800000000 ________________________________________________________________________________________________________________________ ___________________________________________ | | / ___________________________________________ / / __________________ / ___________________________________________ | | / / __________________ / ___________________________________________ / ___________________________________________ | | / ___________________________________________ / / ___________________________________________ / __________________ | | / ___________________________________________ / / ___________________________________________ / __________________ | | / / __________________ / / 4150721952341 119*\/ 5595817607218770 / / __________________ | | / / 4150721952341 119*\/ 5595817607218770 / / __________________ / / __________________ | | / / __________________ / / / __________________ / 4150721952341 119*\/ 5595817607218770 | | / / __________________ / / / __________________ / 4150721952341 119*\/ 5595817607218770 | | / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 / 288000000*3 / -------------- + ------------------------ / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 | | / 288000000*3 / -------------- + ------------------------ / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 | | / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 / / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 288000000*3 / -------------- + ------------------------ | | / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 / / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 288000000*3 / -------------- + ------------------------ | | / ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- / \/ 13824000000000 460800000000 4000* / ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- | | / \/ 13824000000000 460800000000 4000* / ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- / ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- | | / ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- / 4000* / ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- \/ 13824000000000 460800000000 | | / ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- / 4000* / ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- \/ 13824000000000 460800000000 | | / 6000 \/ 13824000000000 460800000000 ___________________________________________ / / 6000 \/ 13824000000000 460800000000 ___________________________________________ | | / / 6000 \/ 13824000000000 460800000000 ___________________________________________ / 6000 \/ 13824000000000 460800000000 ___________________________________________ | | / 6000 \/ 13824000000000 460800000000 ___________________________________________ / / 6000 \/ 13824000000000 460800000000 ___________________________________________ | | / 6000 \/ 13824000000000 460800000000 ___________________________________________ / / 6000 \/ 13824000000000 460800000000 ___________________________________________ | | / / __________________ / / / __________________ | | / / / __________________ / / __________________ | | / / __________________ / / / __________________ | | / / __________________ / / / __________________ | | / / 4150721952341 119*\/ 5595817607218770 / / / 4150721952341 119*\/ 5595817607218770 | | / / / 4150721952341 119*\/ 5595817607218770 / / 4150721952341 119*\/ 5595817607218770 | | / / 4150721952341 119*\/ 5595817607218770 / / / 4150721952341 119*\/ 5595817607218770 | | / / 4150721952341 119*\/ 5595817607218770 / / / 4150721952341 119*\/ 5595817607218770 | | / 288000000*3 / -------------- + ------------------------ / / 288000000*3 / -------------- + ------------------------ | | / / 288000000*3 / -------------- + ------------------------ / 288000000*3 / -------------- + ------------------------ | | / 288000000*3 / -------------- + ------------------------ / / 288000000*3 / -------------- + ------------------------ | | / 288000000*3 / -------------- + ------------------------ / / 288000000*3 / -------------- + ------------------------ | | \/ \/ 13824000000000 460800000000 \/ \/ \/ 13824000000000 460800000000 | | \/ \/ \/ 13824000000000 460800000000 \/ \/ 13824000000000 460800000000 | | \/ \/ 13824000000000 460800000000 \/ \/ \/ 13824000000000 460800000000 | | \/ \/ 13824000000000 460800000000 \/ \/ \/ 13824000000000 460800000000 | |1 - ---------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|1 + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------|*|1 + ---------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|1 + ---------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 /
$$\left(- \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} - \frac{\sqrt{- 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}} - \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{8119}{3000}}}{2} + 1\right) \left(- \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}} - \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{8119}{3000}}}{2} + 1\right) \left(1 + \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} - \frac{i \sqrt{- \frac{8119}{3000} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2}\right) \left(1 + \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} + \frac{i \sqrt{- \frac{8119}{3000} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2}\right)$$
=
-1071 ------ 8000
$$- \frac{1071}{8000}$$
-1071/8000
Respuesta rápida
[src]
__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ ___________________________________________
/ / __________________
/ 8119 / 4150721952341 119*\/ 5595817607218770 257918161 833
/ ---- - 2*3 / -------------- + ------------------------ - ---------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------
________________________________________________________________________________________________________________________ / 3000 \/ 13824000000000 460800000000 ___________________________________________ ________________________________________________________________________________________________________________________
/ ___________________________________________ / / __________________ / ___________________________________________
/ / __________________ / / 4150721952341 119*\/ 5595817607218770 / / __________________
/ 8119 / 4150721952341 119*\/ 5595817607218770 257918161 / 288000000*3 / -------------- + ------------------------ / 8119 / 4150721952341 119*\/ 5595817607218770 257918161
/ ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- / \/ 13824000000000 460800000000 4000* / ---- + 2*3 / -------------- + ------------------------ + ----------------------------------------------------------
/ 6000 \/ 13824000000000 460800000000 ___________________________________________ / / 6000 \/ 13824000000000 460800000000 ___________________________________________
/ / __________________ / / / __________________
/ / 4150721952341 119*\/ 5595817607218770 / / / 4150721952341 119*\/ 5595817607218770
/ 288000000*3 / -------------- + ------------------------ / / 288000000*3 / -------------- + ------------------------
\/ \/ 13824000000000 460800000000 \/ \/ \/ 13824000000000 460800000000
x1 = 1 - ---------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{1} = - \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} - \frac{\sqrt{- 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}} - \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{8119}{3000}}}{2} + 1$$
__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ ___________________________________________
/ / __________________
/ 8119 / 4150721952341 119*\/ 5595817607218770 257918161 833
/ ---- - 2*3 / -------------- + ------------------------ - ---------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------
/ 3000 \/ 13824000000000 460800000000 ___________________________________________ ________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________
/ / __________________ / ___________________________________________ / ___________________________________________
/ / 4150721952341 119*\/ 5595817607218770 / / __________________ / / __________________
/ 288000000*3 / -------------- + ------------------------ / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 / 8119 / 4150721952341 119*\/ 5595817607218770 257918161
/ \/ 13824000000000 460800000000 4000* / ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- / ---- + 2*3 / -------------- + ------------------------ + ----------------------------------------------------------
/ / 6000 \/ 13824000000000 460800000000 ___________________________________________ / 6000 \/ 13824000000000 460800000000 ___________________________________________
/ / / __________________ / / __________________
/ / / 4150721952341 119*\/ 5595817607218770 / / 4150721952341 119*\/ 5595817607218770
/ / 288000000*3 / -------------- + ------------------------ / 288000000*3 / -------------- + ------------------------
\/ \/ \/ 13824000000000 460800000000 \/ \/ 13824000000000 460800000000
x2 = 1 + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{2} = - \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}} - \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{8119}{3000}}}{2} + 1$$
____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ ___________________________________________
/ / __________________
/ 8119 / 4150721952341 119*\/ 5595817607218770 833 257918161
I* / - ---- + 2*3 / -------------- + ------------------------ + --------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------
________________________________________________________________________________________________________________________ / 3000 \/ 13824000000000 460800000000 ________________________________________________________________________________________________________________________ ___________________________________________
/ ___________________________________________ / / ___________________________________________ / __________________
/ / __________________ / / / __________________ / 4150721952341 119*\/ 5595817607218770
/ 8119 / 4150721952341 119*\/ 5595817607218770 257918161 / / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 288000000*3 / -------------- + ------------------------
/ ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- / 4000* / ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- \/ 13824000000000 460800000000
/ 6000 \/ 13824000000000 460800000000 ___________________________________________ / / 6000 \/ 13824000000000 460800000000 ___________________________________________
/ / __________________ / / / __________________
/ / 4150721952341 119*\/ 5595817607218770 / / / 4150721952341 119*\/ 5595817607218770
/ 288000000*3 / -------------- + ------------------------ / / 288000000*3 / -------------- + ------------------------
\/ \/ 13824000000000 460800000000 \/ \/ \/ 13824000000000 460800000000
x3 = 1 + ---------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{3} = 1 + \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} - \frac{i \sqrt{- \frac{8119}{3000} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2}$$
____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ ___________________________________________
/ / __________________
/ 8119 / 4150721952341 119*\/ 5595817607218770 833 257918161
I* / - ---- + 2*3 / -------------- + ------------------------ + --------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------
________________________________________________________________________________________________________________________ / 3000 \/ 13824000000000 460800000000 ________________________________________________________________________________________________________________________ ___________________________________________
/ ___________________________________________ / / ___________________________________________ / __________________
/ / __________________ / / / __________________ / 4150721952341 119*\/ 5595817607218770
/ 8119 / 4150721952341 119*\/ 5595817607218770 257918161 / / 8119 / 4150721952341 119*\/ 5595817607218770 257918161 288000000*3 / -------------- + ------------------------
/ ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- / 4000* / ---- + 2*3 / -------------- + ------------------------ + ---------------------------------------------------------- \/ 13824000000000 460800000000
/ 6000 \/ 13824000000000 460800000000 ___________________________________________ / / 6000 \/ 13824000000000 460800000000 ___________________________________________
/ / __________________ / / / __________________
/ / 4150721952341 119*\/ 5595817607218770 / / / 4150721952341 119*\/ 5595817607218770
/ 288000000*3 / -------------- + ------------------------ / / 288000000*3 / -------------- + ------------------------
\/ \/ 13824000000000 460800000000 \/ \/ \/ 13824000000000 460800000000
x4 = 1 + ---------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{4} = 1 + \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} + \frac{i \sqrt{- \frac{8119}{3000} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2}$$
x4 = 1 + sqrt(257918161/(288000000*(119*sqrt(5595817607218770)/460800000000 + 4150721952341/13824000000000)^(1/3)) + 8119/6000 + 2*(119*sqrt(5595817607218770)/460800000000 + 4150721952341/13824000000000)^(1/3))/2 + i*sqrt(-8119/3000 + 833/(4000*sqrt(257918161/(288000000*(119*sqrt(5595817607218770)/460800000000 + 4150721952341/13824000000000)^(1/3)) + 8119/6000 + 2*(119*sqrt(5595817607218770)/460800000000 + 4150721952341/13824000000000)^(1/3))) + 257918161/(288000000*(119*sqrt(5595817607218770)/460800000000 + 4150721952341/13824000000000)^(1/3)) + 2*(119*sqrt(5595817607218770)/460800000000 + 4150721952341/13824000000000)^(1/3))/2
Respuesta numérica
[src]
x1 = 2.00379559648572 - 0.136614124473374*i
x2 = 2.00379559648572 + 0.136614124473374*i
x3 = -0.186010359766292
x4 = 0.178419166794859
x4 = 0.178419166794859