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Expresiones idénticas
- (x^ dos -4sqrt2x+sqrt12)= cero
- (x al cuadrado menos 4 raíz cuadrada de 2x más raíz cuadrada de 12) es igual a 0
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- (x^2-4√2x+√12)=0
- (x2-4sqrt2x+sqrt12)=0
- x2-4sqrt2x+sqrt12=0
- (x²-4sqrt2x+sqrt12)=0
- (x en el grado 2-4sqrt2x+sqrt12)=0
- x^2-4sqrt2x+sqrt12=0
- (x^2-4sqrt2x+sqrt12)=O
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Expresiones semejantes
- (x^2+4sqrt2x+sqrt12)=0
- (x^2-4sqrt2x-sqrt12)=0
(x^2-4sqrt2x+sqrt12)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 _____ ____ x - 4*\/ 2*x + \/ 12 = 0
$$\left(x^{2} - 4 \sqrt{2 x}\right) + \sqrt{12} = 0$$
Respuesta rápida
[src]
__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ ________________________________________________________
/ / ______________________________
/ / / 2
/ / / / ___\
/ / / | 128*\/ 3 |
/ / / |-128 + ---------| ___ ___
/ / / 4096 \ 9 / 64*\/ 3 64 32 16*\/ 3
/ - 2*3 / 64 + / - ---- + ------------------- - -------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------- - --------
_____________________________________________________________________________________________________________________________________________________ / \/ \/ 27 4 9 _____________________________________________________________________________________________________________________________________________________ ________________________________________________________ 3
/ ________________________________________________________ / / ________________________________________________________ / ______________________________
/ / ______________________________ / / / ______________________________ / / 2
/ / / 2 / / / / 2 / / / ___\
/ / / / ___\ / / / / / ___\ / / | 128*\/ 3 |
/ / / | 128*\/ 3 | / / / / | 128*\/ 3 | / / |-128 + ---------| ___
/ / / |-128 + ---------| ___ ___ / / / / |-128 + ---------| ___ ___ / / 4096 \ 9 / 64*\/ 3
/ / / 4096 \ 9 / 64*\/ 3 8*\/ 3 32 / / / / 4096 \ 9 / 64*\/ 3 8*\/ 3 32 3*3 / 64 + / - ---- + ------------------- - --------
/ 2*3 / 64 + / - ---- + ------------------- - -------- - ------- + ------------------------------------------------------------------- / / 2*3 / 64 + / - ---- + ------------------- - -------- - ------- + ------------------------------------------------------------------- \/ \/ 27 4 9
/ \/ \/ 27 4 9 3 ________________________________________________________ / / \/ \/ 27 4 9 3 ________________________________________________________
/ / ______________________________ / / / ______________________________
/ / / 2 / / / / 2
/ / / / ___\ / / / / / ___\
/ / / | 128*\/ 3 | / / / / | 128*\/ 3 |
/ / / |-128 + ---------| ___ / / / / |-128 + ---------| ___
/ / / 4096 \ 9 / 64*\/ 3 / / / / 4096 \ 9 / 64*\/ 3
/ 3*3 / 64 + / - ---- + ------------------- - -------- / / 3*3 / 64 + / - ---- + ------------------- - --------
\/ \/ \/ 27 4 9 \/ \/ \/ \/ 27 4 9
x1 = ----------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{1} = - \frac{\sqrt{- 2 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64} - \frac{16 \sqrt{3}}{3} - \frac{32}{3 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}} + \frac{64}{\sqrt{- \frac{8 \sqrt{3}}{3} + \frac{32}{3 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}} + 2 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}}}}}{2} + \frac{\sqrt{- \frac{8 \sqrt{3}}{3} + \frac{32}{3 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}} + 2 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}}}{2}$$
__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ ________________________________________________________
/ / ______________________________
/ / / 2
/ / / / ___\
/ / / | 128*\/ 3 |
/ / / |-128 + ---------| ___ ___
/ / / 4096 \ 9 / 64*\/ 3 64 32 16*\/ 3
/ - 2*3 / 64 + / - ---- + ------------------- - -------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------- - --------
_____________________________________________________________________________________________________________________________________________________ / \/ \/ 27 4 9 _____________________________________________________________________________________________________________________________________________________ ________________________________________________________ 3
/ ________________________________________________________ / / ________________________________________________________ / ______________________________
/ / ______________________________ / / / ______________________________ / / 2
/ / / 2 / / / / 2 / / / ___\
/ / / / ___\ / / / / / ___\ / / | 128*\/ 3 |
/ / / | 128*\/ 3 | / / / / | 128*\/ 3 | / / |-128 + ---------| ___
/ / / |-128 + ---------| ___ ___ / / / / |-128 + ---------| ___ ___ / / 4096 \ 9 / 64*\/ 3
/ / / 4096 \ 9 / 64*\/ 3 8*\/ 3 32 / / / / 4096 \ 9 / 64*\/ 3 8*\/ 3 32 3*3 / 64 + / - ---- + ------------------- - --------
/ 2*3 / 64 + / - ---- + ------------------- - -------- - ------- + ------------------------------------------------------------------- / / 2*3 / 64 + / - ---- + ------------------- - -------- - ------- + ------------------------------------------------------------------- \/ \/ 27 4 9
/ \/ \/ 27 4 9 3 ________________________________________________________ / / \/ \/ 27 4 9 3 ________________________________________________________
/ / ______________________________ / / / ______________________________
/ / / 2 / / / / 2
/ / / / ___\ / / / / / ___\
/ / / | 128*\/ 3 | / / / / | 128*\/ 3 |
/ / / |-128 + ---------| ___ / / / / |-128 + ---------| ___
/ / / 4096 \ 9 / 64*\/ 3 / / / / 4096 \ 9 / 64*\/ 3
/ 3*3 / 64 + / - ---- + ------------------- - -------- / / 3*3 / 64 + / - ---- + ------------------- - --------
\/ \/ \/ 27 4 9 \/ \/ \/ \/ 27 4 9
x2 = ----------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{2} = \frac{\sqrt{- 2 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64} - \frac{16 \sqrt{3}}{3} - \frac{32}{3 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}} + \frac{64}{\sqrt{- \frac{8 \sqrt{3}}{3} + \frac{32}{3 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}} + 2 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}}}}}{2} + \frac{\sqrt{- \frac{8 \sqrt{3}}{3} + \frac{32}{3 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}} + 2 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}}}{2}$$
x2 = sqrt(-2*(-64*sqrt(3)/9 + sqrt(-4096/27 + (-128 + 128*sqrt(3)/9)^2/4) + 64)^(1/3) - 16*sqrt(3)/3 - 32/(3*(-64*sqrt(3)/9 + sqrt(-4096/27 + (-128 + 128*sqrt(3)/9)^2/4) + 64)^(1/3)) + 64/sqrt(-8*sqrt(3)/3 + 32/(3*(-64*sqrt(3)/9 + sqrt(-4096/27 + (-128 + 128*sqrt(3)/9)^2/4) + 64)^(1/3)) + 2*(-64*sqrt(3)/9 + sqrt(-4096/27 + (-128 + 128*sqrt(3)/9)^2/4) + 64)^(1/3)))/2 + sqrt(-8*sqrt(3)/3 + 32/(3*(-64*sqrt(3)/9 + sqrt(-4096/27 + (-128 + 128*sqrt(3)/9)^2/4) + 64)^(1/3)) + 2*(-64*sqrt(3)/9 + sqrt(-4096/27 + (-128 + 128*sqrt(3)/9)^2/4) + 64)^(1/3))/2
Suma y producto de raíces
[src]
suma
__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ ________________________________________________________ / ________________________________________________________
/ / ______________________________ / / ______________________________
/ / / 2 / / / 2
/ / / / ___\ / / / / ___\
/ / / | 128*\/ 3 | / / / | 128*\/ 3 |
/ / / |-128 + ---------| ___ ___ / / / |-128 + ---------| ___ ___
/ / / 4096 \ 9 / 64*\/ 3 64 32 16*\/ 3 / / / 4096 \ 9 / 64*\/ 3 64 32 16*\/ 3
/ - 2*3 / 64 + / - ---- + ------------------- - -------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------- - -------- / - 2*3 / 64 + / - ---- + ------------------- - -------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------- - --------
_____________________________________________________________________________________________________________________________________________________ / \/ \/ 27 4 9 _____________________________________________________________________________________________________________________________________________________ ________________________________________________________ 3 _____________________________________________________________________________________________________________________________________________________ / \/ \/ 27 4 9 _____________________________________________________________________________________________________________________________________________________ ________________________________________________________ 3
/ ________________________________________________________ / / ________________________________________________________ / ______________________________ / ________________________________________________________ / / ________________________________________________________ / ______________________________
/ / ______________________________ / / / ______________________________ / / 2 / / ______________________________ / / / ______________________________ / / 2
/ / / 2 / / / / 2 / / / ___\ / / / 2 / / / / 2 / / / ___\
/ / / / ___\ / / / / / ___\ / / | 128*\/ 3 | / / / / ___\ / / / / / ___\ / / | 128*\/ 3 |
/ / / | 128*\/ 3 | / / / / | 128*\/ 3 | / / |-128 + ---------| ___ / / / | 128*\/ 3 | / / / / | 128*\/ 3 | / / |-128 + ---------| ___
/ / / |-128 + ---------| ___ ___ / / / / |-128 + ---------| ___ ___ / / 4096 \ 9 / 64*\/ 3 / / / |-128 + ---------| ___ ___ / / / / |-128 + ---------| ___ ___ / / 4096 \ 9 / 64*\/ 3
/ / / 4096 \ 9 / 64*\/ 3 8*\/ 3 32 / / / / 4096 \ 9 / 64*\/ 3 8*\/ 3 32 3*3 / 64 + / - ---- + ------------------- - -------- / / / 4096 \ 9 / 64*\/ 3 8*\/ 3 32 / / / / 4096 \ 9 / 64*\/ 3 8*\/ 3 32 3*3 / 64 + / - ---- + ------------------- - --------
/ 2*3 / 64 + / - ---- + ------------------- - -------- - ------- + ------------------------------------------------------------------- / / 2*3 / 64 + / - ---- + ------------------- - -------- - ------- + ------------------------------------------------------------------- \/ \/ 27 4 9 / 2*3 / 64 + / - ---- + ------------------- - -------- - ------- + ------------------------------------------------------------------- / / 2*3 / 64 + / - ---- + ------------------- - -------- - ------- + ------------------------------------------------------------------- \/ \/ 27 4 9
/ \/ \/ 27 4 9 3 ________________________________________________________ / / \/ \/ 27 4 9 3 ________________________________________________________ / \/ \/ 27 4 9 3 ________________________________________________________ / / \/ \/ 27 4 9 3 ________________________________________________________
/ / ______________________________ / / / ______________________________ / / ______________________________ / / / ______________________________
/ / / 2 / / / / 2 / / / 2 / / / / 2
/ / / / ___\ / / / / / ___\ / / / / ___\ / / / / / ___\
/ / / | 128*\/ 3 | / / / / | 128*\/ 3 | / / / | 128*\/ 3 | / / / / | 128*\/ 3 |
/ / / |-128 + ---------| ___ / / / / |-128 + ---------| ___ / / / |-128 + ---------| ___ / / / / |-128 + ---------| ___
/ / / 4096 \ 9 / 64*\/ 3 / / / / 4096 \ 9 / 64*\/ 3 / / / 4096 \ 9 / 64*\/ 3 / / / / 4096 \ 9 / 64*\/ 3
/ 3*3 / 64 + / - ---- + ------------------- - -------- / / 3*3 / 64 + / - ---- + ------------------- - -------- / 3*3 / 64 + / - ---- + ------------------- - -------- / / 3*3 / 64 + / - ---- + ------------------- - --------
\/ \/ \/ 27 4 9 \/ \/ \/ \/ 27 4 9 \/ \/ \/ 27 4 9 \/ \/ \/ \/ 27 4 9
----------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2 2
$$\left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64} - \frac{16 \sqrt{3}}{3} - \frac{32}{3 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}} + \frac{64}{\sqrt{- \frac{8 \sqrt{3}}{3} + \frac{32}{3 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}} + 2 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}}}}}{2} + \frac{\sqrt{- \frac{8 \sqrt{3}}{3} + \frac{32}{3 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}} + 2 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}}}{2}\right) + \left(\frac{\sqrt{- 2 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64} - \frac{16 \sqrt{3}}{3} - \frac{32}{3 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}} + \frac{64}{\sqrt{- \frac{8 \sqrt{3}}{3} + \frac{32}{3 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}} + 2 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}}}}}{2} + \frac{\sqrt{- \frac{8 \sqrt{3}}{3} + \frac{32}{3 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}} + 2 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}}}{2}\right)$$
=
_____________________________________________________________________________________________________________________________________________________
/ ________________________________________________________
/ / ______________________________
/ / / 2
/ / / / ___\
/ / / | 128*\/ 3 |
/ / / |-128 + ---------| ___ ___
/ / / 4096 \ 9 / 64*\/ 3 8*\/ 3 32
/ 2*3 / 64 + / - ---- + ------------------- - -------- - ------- + -------------------------------------------------------------------
/ \/ \/ 27 4 9 3 ________________________________________________________
/ / ______________________________
/ / / 2
/ / / / ___\
/ / / | 128*\/ 3 |
/ / / |-128 + ---------| ___
/ / / 4096 \ 9 / 64*\/ 3
/ 3*3 / 64 + / - ---- + ------------------- - --------
\/ \/ \/ 27 4 9
$$\sqrt{- \frac{8 \sqrt{3}}{3} + \frac{32}{3 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}} + 2 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}}$$
producto
/ __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ / __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ | / ________________________________________________________ | | / ________________________________________________________ | | / / ______________________________ | | / / ______________________________ | | / / / 2 | | / / / 2 | | / / / / ___\ | | / / / / ___\ | | / / / | 128*\/ 3 | | | / / / | 128*\/ 3 | | | / / / |-128 + ---------| ___ ___ | | / / / |-128 + ---------| ___ ___ | | / / / 4096 \ 9 / 64*\/ 3 64 32 16*\/ 3 | | / / / 4096 \ 9 / 64*\/ 3 64 32 16*\/ 3 | | / - 2*3 / 64 + / - ---- + ------------------- - -------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------- - -------- | | / - 2*3 / 64 + / - ---- + ------------------- - -------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------- - -------- | | _____________________________________________________________________________________________________________________________________________________ / \/ \/ 27 4 9 _____________________________________________________________________________________________________________________________________________________ ________________________________________________________ 3 | | _____________________________________________________________________________________________________________________________________________________ / \/ \/ 27 4 9 _____________________________________________________________________________________________________________________________________________________ ________________________________________________________ 3 | | / ________________________________________________________ / / ________________________________________________________ / ______________________________ | | / ________________________________________________________ / / ________________________________________________________ / ______________________________ | | / / ______________________________ / / / ______________________________ / / 2 | | / / ______________________________ / / / ______________________________ / / 2 | | / / / 2 / / / / 2 / / / ___\ | | / / / 2 / / / / 2 / / / ___\ | | / / / / ___\ / / / / / ___\ / / | 128*\/ 3 | | | / / / / ___\ / / / / / ___\ / / | 128*\/ 3 | | | / / / | 128*\/ 3 | / / / / | 128*\/ 3 | / / |-128 + ---------| ___ | | / / / | 128*\/ 3 | / / / / | 128*\/ 3 | / / |-128 + ---------| ___ | | / / / |-128 + ---------| ___ ___ / / / / |-128 + ---------| ___ ___ / / 4096 \ 9 / 64*\/ 3 | | / / / |-128 + ---------| ___ ___ / / / / |-128 + ---------| ___ ___ / / 4096 \ 9 / 64*\/ 3 | | / / / 4096 \ 9 / 64*\/ 3 8*\/ 3 32 / / / / 4096 \ 9 / 64*\/ 3 8*\/ 3 32 3*3 / 64 + / - ---- + ------------------- - -------- | | / / / 4096 \ 9 / 64*\/ 3 8*\/ 3 32 / / / / 4096 \ 9 / 64*\/ 3 8*\/ 3 32 3*3 / 64 + / - ---- + ------------------- - -------- | | / 2*3 / 64 + / - ---- + ------------------- - -------- - ------- + ------------------------------------------------------------------- / / 2*3 / 64 + / - ---- + ------------------- - -------- - ------- + ------------------------------------------------------------------- \/ \/ 27 4 9 | | / 2*3 / 64 + / - ---- + ------------------- - -------- - ------- + ------------------------------------------------------------------- / / 2*3 / 64 + / - ---- + ------------------- - -------- - ------- + ------------------------------------------------------------------- \/ \/ 27 4 9 | | / \/ \/ 27 4 9 3 ________________________________________________________ / / \/ \/ 27 4 9 3 ________________________________________________________ | | / \/ \/ 27 4 9 3 ________________________________________________________ / / \/ \/ 27 4 9 3 ________________________________________________________ | | / / ______________________________ / / / ______________________________ | | / / ______________________________ / / / ______________________________ | | / / / 2 / / / / 2 | | / / / 2 / / / / 2 | | / / / / ___\ / / / / / ___\ | | / / / / ___\ / / / / / ___\ | | / / / | 128*\/ 3 | / / / / | 128*\/ 3 | | | / / / | 128*\/ 3 | / / / / | 128*\/ 3 | | | / / / |-128 + ---------| ___ / / / / |-128 + ---------| ___ | | / / / |-128 + ---------| ___ / / / / |-128 + ---------| ___ | | / / / 4096 \ 9 / 64*\/ 3 / / / / 4096 \ 9 / 64*\/ 3 | | / / / 4096 \ 9 / 64*\/ 3 / / / / 4096 \ 9 / 64*\/ 3 | | / 3*3 / 64 + / - ---- + ------------------- - -------- / / 3*3 / 64 + / - ---- + ------------------- - -------- | | / 3*3 / 64 + / - ---- + ------------------- - -------- / / 3*3 / 64 + / - ---- + ------------------- - -------- | |\/ \/ \/ 27 4 9 \/ \/ \/ \/ 27 4 9 | |\/ \/ \/ 27 4 9 \/ \/ \/ \/ 27 4 9 | |----------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|----------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \ 2 2 / \ 2 2 /
$$\left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64} - \frac{16 \sqrt{3}}{3} - \frac{32}{3 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}} + \frac{64}{\sqrt{- \frac{8 \sqrt{3}}{3} + \frac{32}{3 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}} + 2 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}}}}}{2} + \frac{\sqrt{- \frac{8 \sqrt{3}}{3} + \frac{32}{3 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}} + 2 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}}}{2}\right) \left(\frac{\sqrt{- 2 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64} - \frac{16 \sqrt{3}}{3} - \frac{32}{3 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}} + \frac{64}{\sqrt{- \frac{8 \sqrt{3}}{3} + \frac{32}{3 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}} + 2 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}}}}}{2} + \frac{\sqrt{- \frac{8 \sqrt{3}}{3} + \frac{32}{3 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}} + 2 \sqrt[3]{- \frac{64 \sqrt{3}}{9} + \sqrt{- \frac{4096}{27} + \frac{\left(-128 + \frac{128 \sqrt{3}}{9}\right)^{2}}{4}} + 64}}}{2}\right)$$
=
________________________________ ________________________________
/ _____________ / _____________
___ 3 ___ 3 / ___ / ___ 2/3 ___ 6 / ___ / ___
2*\/ 3 4*\/ 3 *\/ 9 - \/ 3 + 3*\/ 9 - 2*\/ 3 4*3 4*\/ 6 *\/ 9 - \/ 3 + 3*\/ 9 - 2*\/ 3
------- + -------------------------------------------- + -------------------------------------- - ----------------------------------------------------------------------------------------------------
3 3 ________________________________ _______________________________________________________________________________________________
/ _____________ / 2/3 ________________________________
3 / ___ / ___ / / _____________\ / _____________
3*\/ 9 - \/ 3 + 3*\/ 9 - 2*\/ 3 / 2/3 3 ___ | ___ / ___ | ___ 3 / ___ / ___
\/ 3 + \/ 3 *\9 - \/ 3 + 3*\/ 9 - 2*\/ 3 / - \/ 3 *\/ 9 - \/ 3 + 3*\/ 9 - 2*\/ 3
$$- \frac{4 \sqrt{6} \sqrt[6]{- \sqrt{3} + 3 \sqrt{9 - 2 \sqrt{3}} + 9}}{\sqrt{- \sqrt{3} \sqrt[3]{- \sqrt{3} + 3 \sqrt{9 - 2 \sqrt{3}} + 9} + 3^{\frac{2}{3}} + \sqrt[3]{3} \left(- \sqrt{3} + 3 \sqrt{9 - 2 \sqrt{3}} + 9\right)^{\frac{2}{3}}}} + \frac{4 \cdot 3^{\frac{2}{3}}}{3 \sqrt[3]{- \sqrt{3} + 3 \sqrt{9 - 2 \sqrt{3}} + 9}} + \frac{2 \sqrt{3}}{3} + \frac{4 \sqrt[3]{3} \sqrt[3]{- \sqrt{3} + 3 \sqrt{9 - 2 \sqrt{3}} + 9}}{3}$$
2*sqrt(3)/3 + 4*3^(1/3)*(9 - sqrt(3) + 3*sqrt(9 - 2*sqrt(3)))^(1/3)/3 + 4*3^(2/3)/(3*(9 - sqrt(3) + 3*sqrt(9 - 2*sqrt(3)))^(1/3)) - 4*sqrt(6)*(9 - sqrt(3) + 3*sqrt(9 - 2*sqrt(3)))^(1/6)/sqrt(3^(2/3) + 3^(1/3)*(9 - sqrt(3) + 3*sqrt(9 - 2*sqrt(3)))^(2/3) - sqrt(3)*(9 - sqrt(3) + 3*sqrt(9 - 2*sqrt(3)))^(1/3))
Respuesta numérica
[src]
x1 = 0.412801150189506 + 2.63979887761748e-13*i
x2 = 0.412801150189484
x3 = 0.412801150189504 + 2.6712278000034e-13*i
x4 = 0.412801150189502 + 2.70113752592171e-13*i
x5 = 0.412801150189506 + 2.62928705215245e-13*i
x6 = 0.412801150189505 + 2.66090467804986e-13*i
x7 = 0.412801150189502 + 2.71098393770186e-13*i
x8 = 2.23407766435854
x9 = 0.412801150189503 + 2.68135325015719e-13*i
x10 = 0.412801150189502 + 2.69131190587479e-13*i
x11 = 0.412801150189506 + 2.65039638095721e-13*i
x11 = 0.412801150189506 + 2.65039638095721e-13*i