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- La ecuación:
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Ecuación (x^2-x-12)/(x+3)=0
-
Ecuación 8-x=5
-
Ecuación x+4=7
-
Ecuación x^3+4*x^2-4*x-16=0
- Expresar {x} en función de y en la ecuación:
- -9*x-12*y=-19
- -8*x+3*y=-4
- 10*x+3*y=2
- -10*x-12*y=-10
- Límite de la función:
- -3/4
-
Expresiones idénticas
- (tres *sqrt(dos)-sqrt(x^ tres))/(dos *x)=- tres / cuatro
- (3 multiplicar por raíz cuadrada de (2) menos raíz cuadrada de (x al cubo )) dividir por (2 multiplicar por x) es igual a menos 3 dividir por 4
- (tres multiplicar por raíz cuadrada de (dos) menos raíz cuadrada de (x en el grado tres)) dividir por (dos multiplicar por x) es igual a menos tres dividir por cuatro
- (3*√(2)-√(x^3))/(2*x)=-3/4
- (3*sqrt(2)-sqrt(x3))/(2*x)=-3/4
- 3*sqrt2-sqrtx3/2*x=-3/4
- (3*sqrt(2)-sqrt(x³))/(2*x)=-3/4
- (3*sqrt(2)-sqrt(x en el grado 3))/(2*x)=-3/4
- (3sqrt(2)-sqrt(x^3))/(2x)=-3/4
- (3sqrt(2)-sqrt(x3))/(2x)=-3/4
- 3sqrt2-sqrtx3/2x=-3/4
- 3sqrt2-sqrtx^3/2x=-3/4
- (3*sqrt(2)-sqrt(x^3)) dividir por (2*x)=-3 dividir por 4
-
Expresiones semejantes
- (3*sqrt(2)-sqrt(x^3))/(2*x)=+3/4
- (3*sqrt(2)+sqrt(x^3))/(2*x)=-3/4
-
Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(1+1/(0.19*x)^2)*sqrt(1+1/(0.165*x)^2)=sqrt(2)
- sqrt(x+5)+sqrt(20-x)=1
- sqrt(x²+2x-24)-3/4*x-3=0
- sqrt(x+y)-sqrt(x-y)=12
- sqrt(2*x+y-5)=0
- Raíz cuadrada sqrt
- sqrt(1+1/(0.19*x)^2)*sqrt(1+1/(0.165*x)^2)=sqrt(2)
- sqrt(x+5)+sqrt(20-x)=1
- sqrt(x²+2x-24)-3/4*x-3=0
- sqrt(x+y)-sqrt(x-y)=12
- sqrt(2*x+y-5)=0
(3*sqrt(2)-sqrt(x^3))/(2*x)=-3/4 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
____
___ / 3
3*\/ 2 - \/ x
----------------- = -3/4
2*x
$$\frac{- \sqrt{x^{3}} + 3 \sqrt{2}}{2 x} = - \frac{3}{4}$$
Respuesta rápida
[src]
__________________________________________________________________ / __________________________________________________________________ \
/ _______________________________________ | / _______________________________________ |
/ / 2 | / / 2 |
/ / / ___\ | / / / ___\ |
/ / |603 27*\/ 2 | | / / |603 27*\/ 2 | |
/ / 3 |--- + --------| ___ | / / 3 |--- + --------| ___ |
/ 603 / /9 ___\ \ 32 4 / 27*\/ 2 | ___ / 603 / /9 ___\ \ 32 4 / 27*\/ 2 ___ / 9 ___\ | 9 ___
3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- | \/ 3 *3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- \/ 3 *|- -- - 3*\/ 2 | | - -- - 3*\/ 2
3 \/ 64 \/ \16 / 4 8 | \/ 64 \/ \16 / 4 8 \ 16 / | 16
x1 = - - --------------------------------------------------------------------------- + I*|- --------------------------------------------------------------------------------- - -----------------------------------------------------------------------------| + -----------------------------------------------------------------------------
4 2 | 2 __________________________________________________________________| __________________________________________________________________
| / _______________________________________ | / _______________________________________
| / / 2 | / / 2
| / / / ___\ | / / / ___\
| / / |603 27*\/ 2 | | / / |603 27*\/ 2 |
| / / 3 |--- + --------| ___ | / / 3 |--- + --------| ___
| / 603 / /9 ___\ \ 32 4 / 27*\/ 2 | / 603 / /9 ___\ \ 32 4 / 27*\/ 2
| 2*3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- | 2*3 / --- + / - |-- + 3*\/ 2 | + ----------------- + --------
\ \/ 64 \/ \16 / 4 8 / \/ 64 \/ \16 / 4 8
$$x_{1} = - \frac{\sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}}{2} + \frac{- 3 \sqrt{2} - \frac{9}{16}}{2 \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}} + \frac{3}{4} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}}{2} - \frac{\sqrt{3} \left(- 3 \sqrt{2} - \frac{9}{16}\right)}{2 \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}}\right)$$
____________________________________________________________________
/ _________________________________________
/ / 2
/ / / ___\
/ / | 603 27*\/ 2 | 9 ___
/ / 3 |- --- - --------| ___ - -- - 3*\/ 2
3 / 603 / / 9 ___\ \ 32 4 / 27*\/ 2 16
x2 = - + 3 / --- + / |- -- - 3*\/ 2 | + ------------------- + -------- - -----------------------------------------------------------------------------
4 \/ 64 \/ \ 16 / 4 8 ____________________________________________________________________
/ _________________________________________
/ / 2
/ / / ___\
/ / | 603 27*\/ 2 |
/ / 3 |- --- - --------| ___
/ 603 / / 9 ___\ \ 32 4 / 27*\/ 2
3 / --- + / |- -- - 3*\/ 2 | + ------------------- + --------
\/ 64 \/ \ 16 / 4 8
$$x_{2} = \frac{3}{4} - \frac{- 3 \sqrt{2} - \frac{9}{16}}{\sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{\left(- 3 \sqrt{2} - \frac{9}{16}\right)^{3} + \frac{\left(- \frac{603}{32} - \frac{27 \sqrt{2}}{4}\right)^{2}}{4}}}} + \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{\left(- 3 \sqrt{2} - \frac{9}{16}\right)^{3} + \frac{\left(- \frac{603}{32} - \frac{27 \sqrt{2}}{4}\right)^{2}}{4}}}$$
__________________________________________________________________ / __________________________________________________________________ \
/ _______________________________________ | / _______________________________________ |
/ / 2 | / / 2 |
/ / / ___\ | / / / ___\ |
/ / |603 27*\/ 2 | | / / |603 27*\/ 2 | |
/ / 3 |--- + --------| ___ | / / 3 |--- + --------| ___ |
/ 603 / /9 ___\ \ 32 4 / 27*\/ 2 | ___ / 603 / /9 ___\ \ 32 4 / 27*\/ 2 ___ / 9 ___\ | 9 ___
3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- |\/ 3 *3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- \/ 3 *|- -- - 3*\/ 2 | | - -- - 3*\/ 2
3 \/ 64 \/ \16 / 4 8 | \/ 64 \/ \16 / 4 8 \ 16 / | 16
x3 = - - --------------------------------------------------------------------------- + I*|--------------------------------------------------------------------------------- + -----------------------------------------------------------------------------| + -----------------------------------------------------------------------------
4 2 | 2 __________________________________________________________________| __________________________________________________________________
| / _______________________________________ | / _______________________________________
| / / 2 | / / 2
| / / / ___\ | / / / ___\
| / / |603 27*\/ 2 | | / / |603 27*\/ 2 |
| / / 3 |--- + --------| ___ | / / 3 |--- + --------| ___
| / 603 / /9 ___\ \ 32 4 / 27*\/ 2 | / 603 / /9 ___\ \ 32 4 / 27*\/ 2
| 2*3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- | 2*3 / --- + / - |-- + 3*\/ 2 | + ----------------- + --------
\ \/ 64 \/ \16 / 4 8 / \/ 64 \/ \16 / 4 8
$$x_{3} = - \frac{\sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}}{2} + \frac{- 3 \sqrt{2} - \frac{9}{16}}{2 \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}} + \frac{3}{4} + i \left(\frac{\sqrt{3} \left(- 3 \sqrt{2} - \frac{9}{16}\right)}{2 \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}} + \frac{\sqrt{3} \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}}{2}\right)$$
x3 = -(27*sqrt(2)/8 + 603/64 + sqrt(-(9/16 + 3*sqrt(2))^3 + (27*sqrt(2)/4 + 603/32)^2/4))^(1/3)/2 + (-3*sqrt(2) - 9/16)/(2*(27*sqrt(2)/8 + 603/64 + sqrt(-(9/16 + 3*sqrt(2))^3 + (27*sqrt(2)/4 + 603/32)^2/4))^(1/3)) + 3/4 + i*(sqrt(3)*(-3*sqrt(2) - 9/16)/(2*(27*sqrt(2)/8 + 603/64 + sqrt(-(9/16 + 3*sqrt(2))^3 + (27*sqrt(2)/4 + 603/32)^2/4))^(1/3)) + sqrt(3)*(27*sqrt(2)/8 + 603/64 + sqrt(-(9/16 + 3*sqrt(2))^3 + (27*sqrt(2)/4 + 603/32)^2/4))^(1/3)/2)
Suma y producto de raíces
[src]
suma
__________________________________________________________________ / __________________________________________________________________ \ __________________________________________________________________ / __________________________________________________________________ \
/ _______________________________________ | / _______________________________________ | / _______________________________________ | / _______________________________________ |
/ / 2 | / / 2 | ____________________________________________________________________ / / 2 | / / 2 |
/ / / ___\ | / / / ___\ | / _________________________________________ / / / ___\ | / / / ___\ |
/ / |603 27*\/ 2 | | / / |603 27*\/ 2 | | / / 2 / / |603 27*\/ 2 | | / / |603 27*\/ 2 | |
/ / 3 |--- + --------| ___ | / / 3 |--- + --------| ___ | / / / ___\ / / 3 |--- + --------| ___ | / / 3 |--- + --------| ___ |
/ 603 / /9 ___\ \ 32 4 / 27*\/ 2 | ___ / 603 / /9 ___\ \ 32 4 / 27*\/ 2 ___ / 9 ___\ | 9 ___ / / | 603 27*\/ 2 | 9 ___ / 603 / /9 ___\ \ 32 4 / 27*\/ 2 | ___ / 603 / /9 ___\ \ 32 4 / 27*\/ 2 ___ / 9 ___\ | 9 ___
3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- | \/ 3 *3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- \/ 3 *|- -- - 3*\/ 2 | | - -- - 3*\/ 2 / / 3 |- --- - --------| ___ - -- - 3*\/ 2 3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- |\/ 3 *3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- \/ 3 *|- -- - 3*\/ 2 | | - -- - 3*\/ 2
3 \/ 64 \/ \16 / 4 8 | \/ 64 \/ \16 / 4 8 \ 16 / | 16 3 / 603 / / 9 ___\ \ 32 4 / 27*\/ 2 16 3 \/ 64 \/ \16 / 4 8 | \/ 64 \/ \16 / 4 8 \ 16 / | 16
- - --------------------------------------------------------------------------- + I*|- --------------------------------------------------------------------------------- - -----------------------------------------------------------------------------| + ----------------------------------------------------------------------------- + - + 3 / --- + / |- -- - 3*\/ 2 | + ------------------- + -------- - ----------------------------------------------------------------------------- + - - --------------------------------------------------------------------------- + I*|--------------------------------------------------------------------------------- + -----------------------------------------------------------------------------| + -----------------------------------------------------------------------------
4 2 | 2 __________________________________________________________________| __________________________________________________________________ 4 \/ 64 \/ \ 16 / 4 8 ____________________________________________________________________ 4 2 | 2 __________________________________________________________________| __________________________________________________________________
| / _______________________________________ | / _______________________________________ / _________________________________________ | / _______________________________________ | / _______________________________________
| / / 2 | / / 2 / / 2 | / / 2 | / / 2
| / / / ___\ | / / / ___\ / / / ___\ | / / / ___\ | / / / ___\
| / / |603 27*\/ 2 | | / / |603 27*\/ 2 | / / | 603 27*\/ 2 | | / / |603 27*\/ 2 | | / / |603 27*\/ 2 |
| / / 3 |--- + --------| ___ | / / 3 |--- + --------| ___ / / 3 |- --- - --------| ___ | / / 3 |--- + --------| ___ | / / 3 |--- + --------| ___
| / 603 / /9 ___\ \ 32 4 / 27*\/ 2 | / 603 / /9 ___\ \ 32 4 / 27*\/ 2 / 603 / / 9 ___\ \ 32 4 / 27*\/ 2 | / 603 / /9 ___\ \ 32 4 / 27*\/ 2 | / 603 / /9 ___\ \ 32 4 / 27*\/ 2
| 2*3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- | 2*3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- 3 / --- + / |- -- - 3*\/ 2 | + ------------------- + -------- | 2*3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- | 2*3 / --- + / - |-- + 3*\/ 2 | + ----------------- + --------
\ \/ 64 \/ \16 / 4 8 / \/ 64 \/ \16 / 4 8 \/ 64 \/ \ 16 / 4 8 \ \/ 64 \/ \16 / 4 8 / \/ 64 \/ \16 / 4 8
$$\left(\left(\frac{3}{4} - \frac{- 3 \sqrt{2} - \frac{9}{16}}{\sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{\left(- 3 \sqrt{2} - \frac{9}{16}\right)^{3} + \frac{\left(- \frac{603}{32} - \frac{27 \sqrt{2}}{4}\right)^{2}}{4}}}} + \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{\left(- 3 \sqrt{2} - \frac{9}{16}\right)^{3} + \frac{\left(- \frac{603}{32} - \frac{27 \sqrt{2}}{4}\right)^{2}}{4}}}\right) + \left(- \frac{\sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}}{2} + \frac{- 3 \sqrt{2} - \frac{9}{16}}{2 \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}} + \frac{3}{4} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}}{2} - \frac{\sqrt{3} \left(- 3 \sqrt{2} - \frac{9}{16}\right)}{2 \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}}\right)\right)\right) + \left(- \frac{\sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}}{2} + \frac{- 3 \sqrt{2} - \frac{9}{16}}{2 \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}} + \frac{3}{4} + i \left(\frac{\sqrt{3} \left(- 3 \sqrt{2} - \frac{9}{16}\right)}{2 \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}} + \frac{\sqrt{3} \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}}{2}\right)\right)$$
=
/ __________________________________________________________________ \ / __________________________________________________________________ \
| / _______________________________________ | | / _______________________________________ |
____________________________________________________________________ __________________________________________________________________ | / / 2 | | / / 2 |
/ _________________________________________ / _______________________________________ | / / / ___\ | | / / / ___\ |
/ / 2 / / 2 | / / |603 27*\/ 2 | | | / / |603 27*\/ 2 | |
/ / / ___\ / / / ___\ | / / 3 |--- + --------| ___ | | / / 3 |--- + --------| ___ |
/ / | 603 27*\/ 2 | / / |603 27*\/ 2 | | ___ / 603 / /9 ___\ \ 32 4 / 27*\/ 2 ___ / 9 ___\ | | ___ / 603 / /9 ___\ \ 32 4 / 27*\/ 2 ___ / 9 ___\ | 9 ___ 9 ___
/ / 3 |- --- - --------| ___ / / 3 |--- + --------| ___ |\/ 3 *3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- \/ 3 *|- -- - 3*\/ 2 | | | \/ 3 *3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- \/ 3 *|- -- - 3*\/ 2 | | - -- - 3*\/ 2 - -- - 3*\/ 2
9 / 603 / / 9 ___\ \ 32 4 / 27*\/ 2 / 603 / /9 ___\ \ 32 4 / 27*\/ 2 | \/ 64 \/ \16 / 4 8 \ 16 / | | \/ 64 \/ \16 / 4 8 \ 16 / | 16 16
- + 3 / --- + / |- -- - 3*\/ 2 | + ------------------- + -------- - 3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- + I*|--------------------------------------------------------------------------------- + -----------------------------------------------------------------------------| + I*|- --------------------------------------------------------------------------------- - -----------------------------------------------------------------------------| + --------------------------------------------------------------------------- - -----------------------------------------------------------------------------
4 \/ 64 \/ \ 16 / 4 8 \/ 64 \/ \16 / 4 8 | 2 __________________________________________________________________| | 2 __________________________________________________________________| __________________________________________________________________ ____________________________________________________________________
| / _______________________________________ | | / _______________________________________ | / _______________________________________ / _________________________________________
| / / 2 | | / / 2 | / / 2 / / 2
| / / / ___\ | | / / / ___\ | / / / ___\ / / / ___\
| / / |603 27*\/ 2 | | | / / |603 27*\/ 2 | | / / |603 27*\/ 2 | / / | 603 27*\/ 2 |
| / / 3 |--- + --------| ___ | | / / 3 |--- + --------| ___ | / / 3 |--- + --------| ___ / / 3 |- --- - --------| ___
| / 603 / /9 ___\ \ 32 4 / 27*\/ 2 | | / 603 / /9 ___\ \ 32 4 / 27*\/ 2 | / 603 / /9 ___\ \ 32 4 / 27*\/ 2 / 603 / / 9 ___\ \ 32 4 / 27*\/ 2
| 2*3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- | | 2*3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- | 3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- 3 / --- + / |- -- - 3*\/ 2 | + ------------------- + --------
\ \/ 64 \/ \16 / 4 8 / \ \/ 64 \/ \16 / 4 8 / \/ 64 \/ \16 / 4 8 \/ 64 \/ \ 16 / 4 8
$$- \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}} + \frac{- 3 \sqrt{2} - \frac{9}{16}}{\sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}} - \frac{- 3 \sqrt{2} - \frac{9}{16}}{\sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{\left(- 3 \sqrt{2} - \frac{9}{16}\right)^{3} + \frac{\left(- \frac{603}{32} - \frac{27 \sqrt{2}}{4}\right)^{2}}{4}}}} + \frac{9}{4} + \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{\left(- 3 \sqrt{2} - \frac{9}{16}\right)^{3} + \frac{\left(- \frac{603}{32} - \frac{27 \sqrt{2}}{4}\right)^{2}}{4}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}}{2} - \frac{\sqrt{3} \left(- 3 \sqrt{2} - \frac{9}{16}\right)}{2 \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}}\right) + i \left(\frac{\sqrt{3} \left(- 3 \sqrt{2} - \frac{9}{16}\right)}{2 \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}} + \frac{\sqrt{3} \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}}{2}\right)$$
producto
/ __________________________________________________________________ / __________________________________________________________________ \ \ / __________________________________________________________________ / __________________________________________________________________ \ \ | / _______________________________________ | / _______________________________________ | | | / _______________________________________ | / _______________________________________ | | | / / 2 | / / 2 | | / ____________________________________________________________________ \ | / / 2 | / / 2 | | | / / / ___\ | / / / ___\ | | | / _________________________________________ | | / / / ___\ | / / / ___\ | | | / / |603 27*\/ 2 | | / / |603 27*\/ 2 | | | | / / 2 | | / / |603 27*\/ 2 | | / / |603 27*\/ 2 | | | | / / 3 |--- + --------| ___ | / / 3 |--- + --------| ___ | | | / / / ___\ | | / / 3 |--- + --------| ___ | / / 3 |--- + --------| ___ | | | / 603 / /9 ___\ \ 32 4 / 27*\/ 2 | ___ / 603 / /9 ___\ \ 32 4 / 27*\/ 2 ___ / 9 ___\ | 9 ___ | | / / | 603 27*\/ 2 | 9 ___ | | / 603 / /9 ___\ \ 32 4 / 27*\/ 2 | ___ / 603 / /9 ___\ \ 32 4 / 27*\/ 2 ___ / 9 ___\ | 9 ___ | | 3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- | \/ 3 *3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- \/ 3 *|- -- - 3*\/ 2 | | - -- - 3*\/ 2 | | / / 3 |- --- - --------| ___ - -- - 3*\/ 2 | | 3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- |\/ 3 *3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- \/ 3 *|- -- - 3*\/ 2 | | - -- - 3*\/ 2 | |3 \/ 64 \/ \16 / 4 8 | \/ 64 \/ \16 / 4 8 \ 16 / | 16 | |3 / 603 / / 9 ___\ \ 32 4 / 27*\/ 2 16 | |3 \/ 64 \/ \16 / 4 8 | \/ 64 \/ \16 / 4 8 \ 16 / | 16 | |- - --------------------------------------------------------------------------- + I*|- --------------------------------------------------------------------------------- - -----------------------------------------------------------------------------| + -----------------------------------------------------------------------------|*|- + 3 / --- + / |- -- - 3*\/ 2 | + ------------------- + -------- - -----------------------------------------------------------------------------|*|- - --------------------------------------------------------------------------- + I*|--------------------------------------------------------------------------------- + -----------------------------------------------------------------------------| + -----------------------------------------------------------------------------| |4 2 | 2 __________________________________________________________________| __________________________________________________________________| |4 \/ 64 \/ \ 16 / 4 8 ____________________________________________________________________| |4 2 | 2 __________________________________________________________________| __________________________________________________________________| | | / _______________________________________ | / _______________________________________ | | / _________________________________________ | | | / _______________________________________ | / _______________________________________ | | | / / 2 | / / 2 | | / / 2 | | | / / 2 | / / 2 | | | / / / ___\ | / / / ___\ | | / / / ___\ | | | / / / ___\ | / / / ___\ | | | / / |603 27*\/ 2 | | / / |603 27*\/ 2 | | | / / | 603 27*\/ 2 | | | | / / |603 27*\/ 2 | | / / |603 27*\/ 2 | | | | / / 3 |--- + --------| ___ | / / 3 |--- + --------| ___ | | / / 3 |- --- - --------| ___ | | | / / 3 |--- + --------| ___ | / / 3 |--- + --------| ___ | | | / 603 / /9 ___\ \ 32 4 / 27*\/ 2 | / 603 / /9 ___\ \ 32 4 / 27*\/ 2 | | / 603 / / 9 ___\ \ 32 4 / 27*\/ 2 | | | / 603 / /9 ___\ \ 32 4 / 27*\/ 2 | / 603 / /9 ___\ \ 32 4 / 27*\/ 2 | | | 2*3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- | 2*3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- | | 3 / --- + / |- -- - 3*\/ 2 | + ------------------- + -------- | | | 2*3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- | 2*3 / --- + / - |-- + 3*\/ 2 | + ----------------- + -------- | \ \ \/ 64 \/ \16 / 4 8 / \/ 64 \/ \16 / 4 8 / \ \/ 64 \/ \ 16 / 4 8 / \ \ \/ 64 \/ \16 / 4 8 / \/ 64 \/ \16 / 4 8 /
$$\left(\frac{3}{4} - \frac{- 3 \sqrt{2} - \frac{9}{16}}{\sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{\left(- 3 \sqrt{2} - \frac{9}{16}\right)^{3} + \frac{\left(- \frac{603}{32} - \frac{27 \sqrt{2}}{4}\right)^{2}}{4}}}} + \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{\left(- 3 \sqrt{2} - \frac{9}{16}\right)^{3} + \frac{\left(- \frac{603}{32} - \frac{27 \sqrt{2}}{4}\right)^{2}}{4}}}\right) \left(- \frac{\sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}}{2} + \frac{- 3 \sqrt{2} - \frac{9}{16}}{2 \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}} + \frac{3}{4} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}}{2} - \frac{\sqrt{3} \left(- 3 \sqrt{2} - \frac{9}{16}\right)}{2 \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}}\right)\right) \left(- \frac{\sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}}{2} + \frac{- 3 \sqrt{2} - \frac{9}{16}}{2 \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}} + \frac{3}{4} + i \left(\frac{\sqrt{3} \left(- 3 \sqrt{2} - \frac{9}{16}\right)}{2 \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}} + \frac{\sqrt{3} \sqrt[3]{\frac{27 \sqrt{2}}{8} + \frac{603}{64} + \sqrt{- \left(\frac{9}{16} + 3 \sqrt{2}\right)^{3} + \frac{\left(\frac{27 \sqrt{2}}{4} + \frac{603}{32}\right)^{2}}{4}}}}{2}\right)\right)$$
=
18
$$18$$
18
Respuesta numérica
[src]
x1 = 5.29545427566768
x2 = -1.52272713783384 + 1.03944401858942*i
x3 = 5.29545427566824 - 7.52877047643221e-13*i
x4 = 5.29545427566768 - 4.88837121249742e-17*i
x5 = 5.29545427566768 - 1.12910843523356e-19*i
x6 = -1.52272713783384 - 1.03944401858942*i
x7 = 5.2954542756668 - 5.93174909378323e-13*i
x7 = 5.2954542756668 - 5.93174909378323e-13*i