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- La ecuación:
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Ecuación (x-3)*(x+2)=0
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Ecuación (11x+14)-(5x-8)=25
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Ecuación z^2-6*z+10=0
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Ecuación 4/(x-4)=-5
- Expresar {x} en función de y en la ecuación:
- -7*x-13*y=5
- 15*x+1*y=19
- 7*x-1*y=-7
- -11*x-14*y=-3
-
Expresiones idénticas
- (sin^2x+sinx)/ uno +cosx= cero
- ( seno de al cuadrado x más seno de x) dividir por 1 más coseno de x es igual a 0
- ( seno de al cuadrado x más seno de x) dividir por uno más coseno de x es igual a cero
- (sin2x+sinx)/1+cosx=0
- sin2x+sinx/1+cosx=0
- (sin²x+sinx)/1+cosx=0
- (sin en el grado 2x+sinx)/1+cosx=0
- sin^2x+sinx/1+cosx=0
- (sin^2x+sinx)/1+cosx=O
- (sin^2x+sinx) dividir por 1+cosx=0
-
Expresiones semejantes
- (sin^2x-sinx)/1+cosx=0
- (sin^2x+sinx)/1-cosx=0
-
Expresiones con funciones
- Seno sin
- sin(x)=(-1)/sqrt(2)
- sin(x)=-5/2
- sin((pi*x)/4)=1
- sin(2*x)-sin(x)=0
- sin(5*x)-cos(4*x)=0
- sinx
- sinx
- sinx=1/3
- sinx+cosx/sinx=2cotx
- sinx=(3-i)/4
- sinx/4=-sqrt2/2
- cosx
- cosx=c+2
- cosx/2=sinи
- cosx^2-(2*1/2)*cosx=0
- cosx+sinx=-0,5
- cosx-sin((pi/2)-x)+cos(pi+x)=0
(sin^2x+sinx)/1+cosx=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2
sin (x) + sin(x)
---------------- + cos(x) = 0
1
$$\frac{\sin^{2}{\left(x \right)} + \sin{\left(x \right)}}{1} + \cos{\left(x \right)} = 0$$
Suma y producto de raíces
[src]
suma
/ / / ____________ / ____________ \\\\ / / / ____________ / ____________ \\\\ / / / ____________ / ____________ \\\\ / / / ____________ / ____________ \\\\ / ____________ \
| | 2/3 | 2/3 3 ___ 3 / ____ / ___\ | 3 ___ 3 / ____ / ___\|||| | | 2/3 | 2/3 3 ___ 3 / ____ / ___\ | 3 ___ 3 / ____ / ___\|||| | | 2/3 | 2/3 3 ___ 3 / ____ / ___\ | 3 ___ 3 / ____ / ___\|||| | | 2/3 | 2/3 3 ___ 3 / ____ / ___\ | 3 ___ 3 / ____ / ___\|||| | 3 ___ 3 / ____ 2/3 |
pi | |2 *\16*3 - \/ 2 *\/ 9 + \/ 33 *\1 - I*\/ 3 /*\6 - \/ 6 *\/ 9 + \/ 33 *\1 - I*\/ 3 ///|| | |2 *\16*3 - \/ 2 *\/ 9 + \/ 33 *\1 - I*\/ 3 /*\6 - \/ 6 *\/ 9 + \/ 33 *\1 - I*\/ 3 ///|| | |2 *\16*3 - \/ 2 *\/ 9 + \/ 33 *\1 + I*\/ 3 /*\6 - \/ 6 *\/ 9 + \/ 33 *\1 + I*\/ 3 ///|| | |2 *\16*3 - \/ 2 *\/ 9 + \/ 33 *\1 + I*\/ 3 /*\6 - \/ 6 *\/ 9 + \/ 33 *\1 + I*\/ 3 ///|| | \/ 6 *\/ 9 + \/ 33 2*6 |
- -- + - 2*re|atan|----------------------------------------------------------------------------------------------|| - 2*I*im|atan|----------------------------------------------------------------------------------------------|| + - 2*re|atan|----------------------------------------------------------------------------------------------|| - 2*I*im|atan|----------------------------------------------------------------------------------------------|| + 2*atan|1 + --------------------- + -----------------|
2 | | ____________ || | | ____________ || | | ____________ || | | ____________ || | 3 ____________|
| | / ___\ 3 / ____ || | | / ___\ 3 / ____ || | | / ___\ 3 / ____ || | | / ___\ 3 / ____ || | 3 / ____ |
\ \ 12*\1 - I*\/ 3 /*\/ 9 + \/ 33 // \ \ 12*\1 - I*\/ 3 /*\/ 9 + \/ 33 // \ \ 12*\1 + I*\/ 3 /*\/ 9 + \/ 33 // \ \ 12*\1 + I*\/ 3 /*\/ 9 + \/ 33 // \ 3*\/ 9 + \/ 33 /
$$\left(\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \left(16 \cdot 3^{\frac{2}{3}} - \sqrt[3]{2} \left(1 + \sqrt{3} i\right) \left(6 - \sqrt[3]{6} \left(1 + \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}\right)}{12 \left(1 + \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \left(16 \cdot 3^{\frac{2}{3}} - \sqrt[3]{2} \left(1 + \sqrt{3} i\right) \left(6 - \sqrt[3]{6} \left(1 + \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}\right)}{12 \left(1 + \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}} \right)}\right)}\right) + \left(- \frac{\pi}{2} + \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \left(16 \cdot 3^{\frac{2}{3}} - \sqrt[3]{2} \left(1 - \sqrt{3} i\right) \left(6 - \sqrt[3]{6} \left(1 - \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}\right)}{12 \left(1 - \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \left(16 \cdot 3^{\frac{2}{3}} - \sqrt[3]{2} \left(1 - \sqrt{3} i\right) \left(6 - \sqrt[3]{6} \left(1 - \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}\right)}{12 \left(1 - \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}} \right)}\right)}\right)\right)\right) + 2 \operatorname{atan}{\left(\frac{2 \cdot 6^{\frac{2}{3}}}{3 \sqrt[3]{\sqrt{33} + 9}} + 1 + \frac{\sqrt[3]{6} \sqrt[3]{\sqrt{33} + 9}}{3} \right)}$$
=
/ / / ____________ / ____________ \\\\ / / / ____________ / ____________ \\\\ / ____________ \ / / / ____________ / ____________ \\\\ / / / ____________ / ____________ \\\\
| | 2/3 | 2/3 3 ___ 3 / ____ / ___\ | 3 ___ 3 / ____ / ___\|||| | | 2/3 | 2/3 3 ___ 3 / ____ / ___\ | 3 ___ 3 / ____ / ___\|||| | 3 ___ 3 / ____ 2/3 | | | 2/3 | 2/3 3 ___ 3 / ____ / ___\ | 3 ___ 3 / ____ / ___\|||| | | 2/3 | 2/3 3 ___ 3 / ____ / ___\ | 3 ___ 3 / ____ / ___\||||
| |2 *\16*3 - \/ 2 *\/ 9 + \/ 33 *\1 + I*\/ 3 /*\6 - \/ 6 *\/ 9 + \/ 33 *\1 + I*\/ 3 ///|| | |2 *\16*3 - \/ 2 *\/ 9 + \/ 33 *\1 - I*\/ 3 /*\6 - \/ 6 *\/ 9 + \/ 33 *\1 - I*\/ 3 ///|| | \/ 6 *\/ 9 + \/ 33 2*6 | pi | |2 *\16*3 - \/ 2 *\/ 9 + \/ 33 *\1 + I*\/ 3 /*\6 - \/ 6 *\/ 9 + \/ 33 *\1 + I*\/ 3 ///|| | |2 *\16*3 - \/ 2 *\/ 9 + \/ 33 *\1 - I*\/ 3 /*\6 - \/ 6 *\/ 9 + \/ 33 *\1 - I*\/ 3 ///||
- 2*re|atan|----------------------------------------------------------------------------------------------|| - 2*re|atan|----------------------------------------------------------------------------------------------|| + 2*atan|1 + --------------------- + -----------------| - -- - 2*I*im|atan|----------------------------------------------------------------------------------------------|| - 2*I*im|atan|----------------------------------------------------------------------------------------------||
| | ____________ || | | ____________ || | 3 ____________| 2 | | ____________ || | | ____________ ||
| | / ___\ 3 / ____ || | | / ___\ 3 / ____ || | 3 / ____ | | | / ___\ 3 / ____ || | | / ___\ 3 / ____ ||
\ \ 12*\1 + I*\/ 3 /*\/ 9 + \/ 33 // \ \ 12*\1 - I*\/ 3 /*\/ 9 + \/ 33 // \ 3*\/ 9 + \/ 33 / \ \ 12*\1 + I*\/ 3 /*\/ 9 + \/ 33 // \ \ 12*\1 - I*\/ 3 /*\/ 9 + \/ 33 //
$$- \frac{\pi}{2} - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \left(16 \cdot 3^{\frac{2}{3}} - \sqrt[3]{2} \left(1 + \sqrt{3} i\right) \left(6 - \sqrt[3]{6} \left(1 + \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}\right)}{12 \left(1 + \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}} \right)}\right)} - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \left(16 \cdot 3^{\frac{2}{3}} - \sqrt[3]{2} \left(1 - \sqrt{3} i\right) \left(6 - \sqrt[3]{6} \left(1 - \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}\right)}{12 \left(1 - \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}} \right)}\right)} + 2 \operatorname{atan}{\left(\frac{2 \cdot 6^{\frac{2}{3}}}{3 \sqrt[3]{\sqrt{33} + 9}} + 1 + \frac{\sqrt[3]{6} \sqrt[3]{\sqrt{33} + 9}}{3} \right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \left(16 \cdot 3^{\frac{2}{3}} - \sqrt[3]{2} \left(1 + \sqrt{3} i\right) \left(6 - \sqrt[3]{6} \left(1 + \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}\right)}{12 \left(1 + \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \left(16 \cdot 3^{\frac{2}{3}} - \sqrt[3]{2} \left(1 - \sqrt{3} i\right) \left(6 - \sqrt[3]{6} \left(1 - \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}\right)}{12 \left(1 - \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}} \right)}\right)}$$
producto
/ / / / ____________ / ____________ \\\\ / / / ____________ / ____________ \\\\\ / / / / ____________ / ____________ \\\\ / / / ____________ / ____________ \\\\\ / ____________ \
| | | 2/3 | 2/3 3 ___ 3 / ____ / ___\ | 3 ___ 3 / ____ / ___\|||| | | 2/3 | 2/3 3 ___ 3 / ____ / ___\ | 3 ___ 3 / ____ / ___\||||| | | | 2/3 | 2/3 3 ___ 3 / ____ / ___\ | 3 ___ 3 / ____ / ___\|||| | | 2/3 | 2/3 3 ___ 3 / ____ / ___\ | 3 ___ 3 / ____ / ___\||||| | 3 ___ 3 / ____ 2/3 |
-pi | | |2 *\16*3 - \/ 2 *\/ 9 + \/ 33 *\1 - I*\/ 3 /*\6 - \/ 6 *\/ 9 + \/ 33 *\1 - I*\/ 3 ///|| | |2 *\16*3 - \/ 2 *\/ 9 + \/ 33 *\1 - I*\/ 3 /*\6 - \/ 6 *\/ 9 + \/ 33 *\1 - I*\/ 3 ///||| | | |2 *\16*3 - \/ 2 *\/ 9 + \/ 33 *\1 + I*\/ 3 /*\6 - \/ 6 *\/ 9 + \/ 33 *\1 + I*\/ 3 ///|| | |2 *\16*3 - \/ 2 *\/ 9 + \/ 33 *\1 + I*\/ 3 /*\6 - \/ 6 *\/ 9 + \/ 33 *\1 + I*\/ 3 ///||| | \/ 6 *\/ 9 + \/ 33 2*6 |
----*|- 2*re|atan|----------------------------------------------------------------------------------------------|| - 2*I*im|atan|----------------------------------------------------------------------------------------------|||*|- 2*re|atan|----------------------------------------------------------------------------------------------|| - 2*I*im|atan|----------------------------------------------------------------------------------------------|||*2*atan|1 + --------------------- + -----------------|
2 | | | ____________ || | | ____________ ||| | | | ____________ || | | ____________ ||| | 3 ____________|
| | | / ___\ 3 / ____ || | | / ___\ 3 / ____ ||| | | | / ___\ 3 / ____ || | | / ___\ 3 / ____ ||| | 3 / ____ |
\ \ \ 12*\1 - I*\/ 3 /*\/ 9 + \/ 33 // \ \ 12*\1 - I*\/ 3 /*\/ 9 + \/ 33 /// \ \ \ 12*\1 + I*\/ 3 /*\/ 9 + \/ 33 // \ \ 12*\1 + I*\/ 3 /*\/ 9 + \/ 33 /// \ 3*\/ 9 + \/ 33 /
$$- \frac{\pi}{2} \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \left(16 \cdot 3^{\frac{2}{3}} - \sqrt[3]{2} \left(1 - \sqrt{3} i\right) \left(6 - \sqrt[3]{6} \left(1 - \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}\right)}{12 \left(1 - \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \left(16 \cdot 3^{\frac{2}{3}} - \sqrt[3]{2} \left(1 - \sqrt{3} i\right) \left(6 - \sqrt[3]{6} \left(1 - \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}\right)}{12 \left(1 - \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}} \right)}\right)}\right) \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \left(16 \cdot 3^{\frac{2}{3}} - \sqrt[3]{2} \left(1 + \sqrt{3} i\right) \left(6 - \sqrt[3]{6} \left(1 + \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}\right)}{12 \left(1 + \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \left(16 \cdot 3^{\frac{2}{3}} - \sqrt[3]{2} \left(1 + \sqrt{3} i\right) \left(6 - \sqrt[3]{6} \left(1 + \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}\right)}{12 \left(1 + \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}} \right)}\right)}\right) 2 \operatorname{atan}{\left(\frac{2 \cdot 6^{\frac{2}{3}}}{3 \sqrt[3]{\sqrt{33} + 9}} + 1 + \frac{\sqrt[3]{6} \sqrt[3]{\sqrt{33} + 9}}{3} \right)}$$
=
/ / / / ____________ / ____________ \\\\ / / / ____________ / ____________ \\\\\ / / / / ____________ / ____________ \\\\ / / / ____________ / ____________ \\\\\ / ____________ / ____________\\
| | | 2/3 | 2/3 3 ___ 3 / ____ / ___\ | 3 ___ 3 / ____ / ___\|||| | | 2/3 | 2/3 3 ___ 3 / ____ / ___\ | 3 ___ 3 / ____ / ___\||||| | | | 2/3 | 2/3 3 ___ 3 / ____ / ___\ | 3 ___ 3 / ____ / ___\|||| | | 2/3 | 2/3 3 ___ 3 / ____ / ___\ | 3 ___ 3 / ____ / ___\||||| | 2/3 3 / ____ | 3 ___ 3 / ____ ||
| | |2 *\16*3 - \/ 2 *\/ 9 + \/ 33 *\1 + I*\/ 3 /*\6 - \/ 6 *\/ 9 + \/ 33 *\1 + I*\/ 3 ///|| | |2 *\16*3 - \/ 2 *\/ 9 + \/ 33 *\1 + I*\/ 3 /*\6 - \/ 6 *\/ 9 + \/ 33 *\1 + I*\/ 3 ///||| | | |2 *\16*3 - \/ 2 *\/ 9 + \/ 33 *\1 - I*\/ 3 /*\6 - \/ 6 *\/ 9 + \/ 33 *\1 - I*\/ 3 ///|| | |2 *\16*3 - \/ 2 *\/ 9 + \/ 33 *\1 - I*\/ 3 /*\6 - \/ 6 *\/ 9 + \/ 33 *\1 - I*\/ 3 ///||| |2*6 + \/ 9 + \/ 33 *\3 + \/ 6 *\/ 9 + \/ 33 /|
-4*pi*|I*im|atan|----------------------------------------------------------------------------------------------|| + re|atan|----------------------------------------------------------------------------------------------|||*|I*im|atan|----------------------------------------------------------------------------------------------|| + re|atan|----------------------------------------------------------------------------------------------|||*atan|----------------------------------------------------|
| | | ____________ || | | ____________ ||| | | | ____________ || | | ____________ ||| | ____________ |
| | | / ___\ 3 / ____ || | | / ___\ 3 / ____ ||| | | | / ___\ 3 / ____ || | | / ___\ 3 / ____ ||| | 3 / ____ |
\ \ \ 12*\1 + I*\/ 3 /*\/ 9 + \/ 33 // \ \ 12*\1 + I*\/ 3 /*\/ 9 + \/ 33 /// \ \ \ 12*\1 - I*\/ 3 /*\/ 9 + \/ 33 // \ \ 12*\1 - I*\/ 3 /*\/ 9 + \/ 33 /// \ 3*\/ 9 + \/ 33 /
$$- 4 \pi \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \left(16 \cdot 3^{\frac{2}{3}} - \sqrt[3]{2} \left(1 - \sqrt{3} i\right) \left(6 - \sqrt[3]{6} \left(1 - \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}\right)}{12 \left(1 - \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \left(16 \cdot 3^{\frac{2}{3}} - \sqrt[3]{2} \left(1 - \sqrt{3} i\right) \left(6 - \sqrt[3]{6} \left(1 - \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}\right)}{12 \left(1 - \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \left(16 \cdot 3^{\frac{2}{3}} - \sqrt[3]{2} \left(1 + \sqrt{3} i\right) \left(6 - \sqrt[3]{6} \left(1 + \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}\right)}{12 \left(1 + \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \left(16 \cdot 3^{\frac{2}{3}} - \sqrt[3]{2} \left(1 + \sqrt{3} i\right) \left(6 - \sqrt[3]{6} \left(1 + \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}\right)}{12 \left(1 + \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}} \right)}\right)}\right) \operatorname{atan}{\left(\frac{2 \cdot 6^{\frac{2}{3}} + \left(3 + \sqrt[3]{6} \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}}{3 \sqrt[3]{\sqrt{33} + 9}} \right)}$$
-4*pi*(i*im(atan(2^(2/3)*(16*3^(2/3) - 2^(1/3)*(9 + sqrt(33))^(1/3)*(1 + i*sqrt(3))*(6 - 6^(1/3)*(9 + sqrt(33))^(1/3)*(1 + i*sqrt(3))))/(12*(1 + i*sqrt(3))*(9 + sqrt(33))^(1/3)))) + re(atan(2^(2/3)*(16*3^(2/3) - 2^(1/3)*(9 + sqrt(33))^(1/3)*(1 + i*sqrt(3))*(6 - 6^(1/3)*(9 + sqrt(33))^(1/3)*(1 + i*sqrt(3))))/(12*(1 + i*sqrt(3))*(9 + sqrt(33))^(1/3)))))*(i*im(atan(2^(2/3)*(16*3^(2/3) - 2^(1/3)*(9 + sqrt(33))^(1/3)*(1 - i*sqrt(3))*(6 - 6^(1/3)*(9 + sqrt(33))^(1/3)*(1 - i*sqrt(3))))/(12*(1 - i*sqrt(3))*(9 + sqrt(33))^(1/3)))) + re(atan(2^(2/3)*(16*3^(2/3) - 2^(1/3)*(9 + sqrt(33))^(1/3)*(1 - i*sqrt(3))*(6 - 6^(1/3)*(9 + sqrt(33))^(1/3)*(1 - i*sqrt(3))))/(12*(1 - i*sqrt(3))*(9 + sqrt(33))^(1/3)))))*atan((2*6^(2/3) + (9 + sqrt(33))^(1/3)*(3 + 6^(1/3)*(9 + sqrt(33))^(1/3)))/(3*(9 + sqrt(33))^(1/3)))
Respuesta rápida
[src]
-pi
x1 = ----
2
$$x_{1} = - \frac{\pi}{2}$$
/ / / ____________ / ____________ \\\\ / / / ____________ / ____________ \\\\
| | 2/3 | 2/3 3 ___ 3 / ____ / ___\ | 3 ___ 3 / ____ / ___\|||| | | 2/3 | 2/3 3 ___ 3 / ____ / ___\ | 3 ___ 3 / ____ / ___\||||
| |2 *\16*3 - \/ 2 *\/ 9 + \/ 33 *\1 - I*\/ 3 /*\6 - \/ 6 *\/ 9 + \/ 33 *\1 - I*\/ 3 ///|| | |2 *\16*3 - \/ 2 *\/ 9 + \/ 33 *\1 - I*\/ 3 /*\6 - \/ 6 *\/ 9 + \/ 33 *\1 - I*\/ 3 ///||
x2 = - 2*re|atan|----------------------------------------------------------------------------------------------|| - 2*I*im|atan|----------------------------------------------------------------------------------------------||
| | ____________ || | | ____________ ||
| | / ___\ 3 / ____ || | | / ___\ 3 / ____ ||
\ \ 12*\1 - I*\/ 3 /*\/ 9 + \/ 33 // \ \ 12*\1 - I*\/ 3 /*\/ 9 + \/ 33 //
$$x_{2} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \left(16 \cdot 3^{\frac{2}{3}} - \sqrt[3]{2} \left(1 - \sqrt{3} i\right) \left(6 - \sqrt[3]{6} \left(1 - \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}\right)}{12 \left(1 - \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \left(16 \cdot 3^{\frac{2}{3}} - \sqrt[3]{2} \left(1 - \sqrt{3} i\right) \left(6 - \sqrt[3]{6} \left(1 - \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}\right)}{12 \left(1 - \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}} \right)}\right)}$$
/ / / ____________ / ____________ \\\\ / / / ____________ / ____________ \\\\
| | 2/3 | 2/3 3 ___ 3 / ____ / ___\ | 3 ___ 3 / ____ / ___\|||| | | 2/3 | 2/3 3 ___ 3 / ____ / ___\ | 3 ___ 3 / ____ / ___\||||
| |2 *\16*3 - \/ 2 *\/ 9 + \/ 33 *\1 + I*\/ 3 /*\6 - \/ 6 *\/ 9 + \/ 33 *\1 + I*\/ 3 ///|| | |2 *\16*3 - \/ 2 *\/ 9 + \/ 33 *\1 + I*\/ 3 /*\6 - \/ 6 *\/ 9 + \/ 33 *\1 + I*\/ 3 ///||
x3 = - 2*re|atan|----------------------------------------------------------------------------------------------|| - 2*I*im|atan|----------------------------------------------------------------------------------------------||
| | ____________ || | | ____________ ||
| | / ___\ 3 / ____ || | | / ___\ 3 / ____ ||
\ \ 12*\1 + I*\/ 3 /*\/ 9 + \/ 33 // \ \ 12*\1 + I*\/ 3 /*\/ 9 + \/ 33 //
$$x_{3} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \left(16 \cdot 3^{\frac{2}{3}} - \sqrt[3]{2} \left(1 + \sqrt{3} i\right) \left(6 - \sqrt[3]{6} \left(1 + \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}\right)}{12 \left(1 + \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \left(16 \cdot 3^{\frac{2}{3}} - \sqrt[3]{2} \left(1 + \sqrt{3} i\right) \left(6 - \sqrt[3]{6} \left(1 + \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}\right) \sqrt[3]{\sqrt{33} + 9}\right)}{12 \left(1 + \sqrt{3} i\right) \sqrt[3]{\sqrt{33} + 9}} \right)}\right)}$$
/ ____________ \
| 3 ___ 3 / ____ 2/3 |
| \/ 6 *\/ 9 + \/ 33 2*6 |
x4 = 2*atan|1 + --------------------- + -----------------|
| 3 ____________|
| 3 / ____ |
\ 3*\/ 9 + \/ 33 /
$$x_{4} = 2 \operatorname{atan}{\left(\frac{2 \cdot 6^{\frac{2}{3}}}{3 \sqrt[3]{\sqrt{33} + 9}} + 1 + \frac{\sqrt[3]{6} \sqrt[3]{\sqrt{33} + 9}}{3} \right)}$$
x4 = 2*atan(2*6^(2/3)/(3*(sqrt(33) + 9)^(1/3)) + 1 + 6^(1/3)*(sqrt(33) + 9)^(1/3)/3)
Respuesta numérica
[src]
x1 = -79.1146426372604
x2 = -1.5707963267949
x3 = -64.4026493985908
x4 = -22.5659748726441
x5 = 80.1106126665397
x6 = -58.1194640914112
x7 = 65.3986194278701
x8 = 61.261056745001
x9 = 130.376095123976
x10 = -97.9641985587991
x11 = 52.8322488135109
x12 = 27.6995075847926
x13 = 90.5313606565884
x14 = -85.39782794444
x15 = -91.6810132516196
x16 = -39.2699081698724
x17 = 15.1331369704334
x18 = -35.1323454870033
x19 = 42.4115008234622
x20 = 33.9826928919722
x21 = -102.101761241668
x22 = 73.8274273593601
x23 = 84.2481753494089
x24 = -32.9867228626928
x25 = -47.6987161013625
x26 = 77.9649900422293
x27 = 71.6818047350497
x28 = 67.5442420521806
x29 = 4.71238898038469
x30 = -3.71641895110535
x31 = 40.2658781991518
x32 = 36.1283155162826
x33 = 46.5490635063313
x34 = -198.495163473673
x35 = -70.6858347057703
x36 = -26.7035375555132
x37 = 10.9955742875643
x38 = 23.5619449019235
x39 = -9.99960425828493
x40 = 59.1154341206905
x41 = -89.5353906273091
x42 = -66.5482720229012
x43 = -53.981901408542
x44 = 17.2787595947439
x45 = 2.56676635607424
x46 = 8.84995166325382
x47 = 54.9778714378214
x48 = -16.2827895654645
x49 = -7.85398163397448
x50 = 96.814545963768
x51 = 48.6946861306418
x52 = 3705.50853490916
x53 = -51.8362787842316
x54 = 92.6769832808989
x55 = -41.4155307941829
x56 = 86.3937979737193
x57 = -76.9690200129499
x58 = -20.4203522483337
x59 = -60.2650867157216
x60 = -83.2522053201295
x61 = 98.9601685880785
x62 = -95.8185759344887
x63 = -14.1371669411541
x64 = 29.845130209103
x65 = -45.553093477052
x66 = 21.416322277613
x66 = 21.416322277613