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Ecuación 9*(x-5)=-x
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Ecuación 13x+10=6x-4
- Ecuación x-y=1
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Expresiones idénticas
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- 4*cos^4(x)-4*cos^2(x)+3cosxsinx+1=O
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Expresiones semejantes
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Expresiones con funciones
- Coseno cos
- cos(x)=(-1/2)
- cos((pi*(x-7))/3)=1/2
- cos(x)/5=-1
- cos(x)=(-1)/sqrt(2)
- cos(a-b)+sin(-a)sinb
- Coseno cos
- cos(x)=(-1/2)
- cos((pi*(x-7))/3)=1/2
- cos(x)/5=-1
- cos(x)=(-1)/sqrt(2)
- cos(a-b)+sin(-a)sinb
4*cos^4(x)-4*cos^2(x)+3cosxsinx+1=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
4 2 4*cos (x) - 4*cos (x) + 3*cos(x)*sin(x) + 1 = 0
$$\left(\left(4 \cos^{4}{\left(x \right)} - 4 \cos^{2}{\left(x \right)}\right) + \sin{\left(x \right)} 3 \cos{\left(x \right)}\right) + 1 = 0$$
Respuesta rápida
[src]
/ ___________\
| ___ / ___ |
x1 = -2*atan\-2 + \/ 3 + 2*\/ 2 - \/ 3 /
$$x_{1} = - 2 \operatorname{atan}{\left(-2 + 2 \sqrt{2 - \sqrt{3}} + \sqrt{3} \right)}$$
/ / _____________\\ / / _____________\\
| | ___ ___ / ___ || | | ___ ___ / ___ ||
| | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 || | | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 ||
x2 = 2*re|atan|- - + ------- + ----------------------|| + 2*I*im|atan|- - + ------- + ----------------------||
\ \ 2 2 2 // \ \ 2 2 2 //
$$x_{2} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}$$
/ / _____________\\ / / _____________\\
| | ___ ___ / ___ || | | ___ ___ / ___ ||
| |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 ||
x3 = - 2*re|atan|- + ------- - ----------------------|| - 2*I*im|atan|- + ------- - ----------------------||
\ \2 2 2 // \ \2 2 2 //
$$x_{3} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}$$
/ / _____________\\ / / _____________\\
| | ___ ___ / ___ || | | ___ ___ / ___ ||
| |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 ||
x4 = - 2*re|atan|- + ------- + ----------------------|| - 2*I*im|atan|- + ------- + ----------------------||
\ \2 2 2 // \ \2 2 2 //
$$x_{4} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}$$
/ / _____________ \\ / / _____________ \\
| | ___ / ___ ___|| | | ___ / ___ ___||
| |1 \/ 2 *\/ 1 - I*\/ 3 I*\/ 3 || | |1 \/ 2 *\/ 1 - I*\/ 3 I*\/ 3 ||
x5 = - 2*re|atan|- + ---------------------- - -------|| - 2*I*im|atan|- + ---------------------- - -------||
\ \2 2 2 // \ \2 2 2 //
$$x_{5} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)}$$
/ ___________\
| ___ / ___ |
x6 = 2*atan\2 - \/ 3 + 2*\/ 2 - \/ 3 /
$$x_{6} = 2 \operatorname{atan}{\left(- \sqrt{3} + 2 \sqrt{2 - \sqrt{3}} + 2 \right)}$$
/ ___________\
| ___ / ___ |
x7 = 2*atan\2 + \/ 3 + 2*\/ 2 + \/ 3 /
$$x_{7} = 2 \operatorname{atan}{\left(\sqrt{3} + 2 + 2 \sqrt{\sqrt{3} + 2} \right)}$$
/ ___________\
| ___ / ___ |
x8 = 2*atan\2 + \/ 3 - 2*\/ 2 + \/ 3 /
$$x_{8} = 2 \operatorname{atan}{\left(- 2 \sqrt{\sqrt{3} + 2} + \sqrt{3} + 2 \right)}$$
x8 = 2*atan(-2*sqrt(sqrt(3) + 2) + sqrt(3) + 2)
Suma y producto de raíces
[src]
suma
/ / _____________\\ / / _____________\\ / / _____________\\ / / _____________\\ / / _____________\\ / / _____________\\ / / _____________ \\ / / _____________ \\
/ ___________\ | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ / ___ ___|| | | ___ / ___ ___|| / ___________\ / ___________\ / ___________\
| ___ / ___ | | | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 || | | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 \/ 2 *\/ 1 - I*\/ 3 I*\/ 3 || | |1 \/ 2 *\/ 1 - I*\/ 3 I*\/ 3 || | ___ / ___ | | ___ / ___ | | ___ / ___ |
- 2*atan\-2 + \/ 3 + 2*\/ 2 - \/ 3 / + 2*re|atan|- - + ------- + ----------------------|| + 2*I*im|atan|- - + ------- + ----------------------|| + - 2*re|atan|- + ------- - ----------------------|| - 2*I*im|atan|- + ------- - ----------------------|| + - 2*re|atan|- + ------- + ----------------------|| - 2*I*im|atan|- + ------- + ----------------------|| + - 2*re|atan|- + ---------------------- - -------|| - 2*I*im|atan|- + ---------------------- - -------|| + 2*atan\2 - \/ 3 + 2*\/ 2 - \/ 3 / + 2*atan\2 + \/ 3 + 2*\/ 2 + \/ 3 / + 2*atan\2 + \/ 3 - 2*\/ 2 + \/ 3 /
\ \ 2 2 2 // \ \ 2 2 2 // \ \2 2 2 // \ \2 2 2 // \ \2 2 2 // \ \2 2 2 // \ \2 2 2 // \ \2 2 2 //
$$2 \operatorname{atan}{\left(- 2 \sqrt{\sqrt{3} + 2} + \sqrt{3} + 2 \right)} + \left(\left(\left(\left(\left(\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right) + \left(- 2 \operatorname{atan}{\left(-2 + 2 \sqrt{2 - \sqrt{3}} + \sqrt{3} \right)} + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right)\right)\right) + \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right)\right) + \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)}\right)\right) + 2 \operatorname{atan}{\left(- \sqrt{3} + 2 \sqrt{2 - \sqrt{3}} + 2 \right)}\right) + 2 \operatorname{atan}{\left(\sqrt{3} + 2 + 2 \sqrt{\sqrt{3} + 2} \right)}\right)$$
=
/ / _____________\\ / / _____________\\ / / _____________ \\ / / _____________\\ / / _____________\\ / / _____________\\ / / _____________ \\ / / _____________\\
/ ___________\ | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ / ___ ___|| / ___________\ / ___________\ / ___________\ | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ / ___ ___|| | | ___ ___ / ___ ||
| ___ / ___ | | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 \/ 2 *\/ 1 - I*\/ 3 I*\/ 3 || | ___ / ___ | | ___ / ___ | | ___ / ___ | | | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 \/ 2 *\/ 1 - I*\/ 3 I*\/ 3 || | | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 ||
- 2*atan\-2 + \/ 3 + 2*\/ 2 - \/ 3 / - 2*re|atan|- + ------- + ----------------------|| - 2*re|atan|- + ------- - ----------------------|| - 2*re|atan|- + ---------------------- - -------|| + 2*atan\2 + \/ 3 - 2*\/ 2 + \/ 3 / + 2*atan\2 + \/ 3 + 2*\/ 2 + \/ 3 / + 2*atan\2 - \/ 3 + 2*\/ 2 - \/ 3 / + 2*re|atan|- - + ------- + ----------------------|| - 2*I*im|atan|- + ------- + ----------------------|| - 2*I*im|atan|- + ------- - ----------------------|| - 2*I*im|atan|- + ---------------------- - -------|| + 2*I*im|atan|- - + ------- + ----------------------||
\ \2 2 2 // \ \2 2 2 // \ \2 2 2 // \ \ 2 2 2 // \ \2 2 2 // \ \2 2 2 // \ \2 2 2 // \ \ 2 2 2 //
$$- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)} - 2 \operatorname{atan}{\left(-2 + 2 \sqrt{2 - \sqrt{3}} + \sqrt{3} \right)} + 2 \operatorname{atan}{\left(- 2 \sqrt{\sqrt{3} + 2} + \sqrt{3} + 2 \right)} - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + 2 \operatorname{re}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + 2 \operatorname{atan}{\left(- \sqrt{3} + 2 \sqrt{2 - \sqrt{3}} + 2 \right)} + 2 \operatorname{atan}{\left(\sqrt{3} + 2 + 2 \sqrt{\sqrt{3} + 2} \right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}$$
producto
/ / / _____________\\ / / _____________\\\ / / / _____________\\ / / _____________\\\ / / / _____________\\ / / _____________\\\ / / / _____________ \\ / / _____________ \\\
/ ___________\ | | | ___ ___ / ___ || | | ___ ___ / ___ ||| | | | ___ ___ / ___ || | | ___ ___ / ___ ||| | | | ___ ___ / ___ || | | ___ ___ / ___ ||| | | | ___ / ___ ___|| | | ___ / ___ ___||| / ___________\ / ___________\ / ___________\
| ___ / ___ | | | | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 || | | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 ||| | | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 ||| | | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 ||| | | |1 \/ 2 *\/ 1 - I*\/ 3 I*\/ 3 || | |1 \/ 2 *\/ 1 - I*\/ 3 I*\/ 3 ||| | ___ / ___ | | ___ / ___ | | ___ / ___ |
-2*atan\-2 + \/ 3 + 2*\/ 2 - \/ 3 /*|2*re|atan|- - + ------- + ----------------------|| + 2*I*im|atan|- - + ------- + ----------------------|||*|- 2*re|atan|- + ------- - ----------------------|| - 2*I*im|atan|- + ------- - ----------------------|||*|- 2*re|atan|- + ------- + ----------------------|| - 2*I*im|atan|- + ------- + ----------------------|||*|- 2*re|atan|- + ---------------------- - -------|| - 2*I*im|atan|- + ---------------------- - -------|||*2*atan\2 - \/ 3 + 2*\/ 2 - \/ 3 /*2*atan\2 + \/ 3 + 2*\/ 2 + \/ 3 /*2*atan\2 + \/ 3 - 2*\/ 2 + \/ 3 /
\ \ \ 2 2 2 // \ \ 2 2 2 /// \ \ \2 2 2 // \ \2 2 2 /// \ \ \2 2 2 // \ \2 2 2 /// \ \ \2 2 2 // \ \2 2 2 ///
$$\left(2 \operatorname{re}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right) \left(- 2 \operatorname{atan}{\left(-2 + 2 \sqrt{2 - \sqrt{3}} + \sqrt{3} \right)}\right) \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right) \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right) \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)}\right) 2 \operatorname{atan}{\left(- \sqrt{3} + 2 \sqrt{2 - \sqrt{3}} + 2 \right)} 2 \operatorname{atan}{\left(\sqrt{3} + 2 + 2 \sqrt{\sqrt{3} + 2} \right)} 2 \operatorname{atan}{\left(- 2 \sqrt{\sqrt{3} + 2} + \sqrt{3} + 2 \right)}$$
=
/ / / _____________\\ / / _____________\\\ / / / _____________\\ / / _____________\\\ / / / _____________ \\ / / _____________ \\\ / / / _____________\\ / / _____________\\\
| | | ___ ___ / ___ || | | ___ ___ / ___ ||| | | | ___ ___ / ___ || | | ___ ___ / ___ ||| | | | ___ / ___ ___|| | | ___ / ___ ___||| | | | ___ ___ / ___ || | | ___ ___ / ___ ||| / ___________\ / ___________\ / ___________\ / ___________\
| | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 ||| | | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 ||| | | |1 \/ 2 *\/ 1 - I*\/ 3 I*\/ 3 || | |1 \/ 2 *\/ 1 - I*\/ 3 I*\/ 3 ||| | | | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 || | | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 ||| | ___ / ___ | | ___ / ___ | | ___ / ___ | | ___ / ___ |
256*|I*im|atan|- + ------- + ----------------------|| + re|atan|- + ------- + ----------------------|||*|I*im|atan|- + ------- - ----------------------|| + re|atan|- + ------- - ----------------------|||*|I*im|atan|- + ---------------------- - -------|| + re|atan|- + ---------------------- - -------|||*|I*im|atan|- - + ------- + ----------------------|| + re|atan|- - + ------- + ----------------------|||*atan\-2 + \/ 3 + 2*\/ 2 - \/ 3 /*atan\2 + \/ 3 - 2*\/ 2 + \/ 3 /*atan\2 + \/ 3 + 2*\/ 2 + \/ 3 /*atan\2 - \/ 3 + 2*\/ 2 - \/ 3 /
\ \ \2 2 2 // \ \2 2 2 /// \ \ \2 2 2 // \ \2 2 2 /// \ \ \2 2 2 // \ \2 2 2 /// \ \ \ 2 2 2 // \ \ 2 2 2 ///
$$256 \left(\operatorname{re}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)}\right) \operatorname{atan}{\left(-2 + 2 \sqrt{2 - \sqrt{3}} + \sqrt{3} \right)} \operatorname{atan}{\left(- \sqrt{3} + 2 \sqrt{2 - \sqrt{3}} + 2 \right)} \operatorname{atan}{\left(\sqrt{3} + 2 + 2 \sqrt{\sqrt{3} + 2} \right)} \operatorname{atan}{\left(- 2 \sqrt{\sqrt{3} + 2} + \sqrt{3} + 2 \right)}$$
256*(i*im(atan(1/2 + i*sqrt(3)/2 + sqrt(2)*sqrt(1 + i*sqrt(3))/2)) + re(atan(1/2 + i*sqrt(3)/2 + sqrt(2)*sqrt(1 + i*sqrt(3))/2)))*(i*im(atan(1/2 + i*sqrt(3)/2 - sqrt(2)*sqrt(1 + i*sqrt(3))/2)) + re(atan(1/2 + i*sqrt(3)/2 - sqrt(2)*sqrt(1 + i*sqrt(3))/2)))*(i*im(atan(1/2 + sqrt(2)*sqrt(1 - i*sqrt(3))/2 - i*sqrt(3)/2)) + re(atan(1/2 + sqrt(2)*sqrt(1 - i*sqrt(3))/2 - i*sqrt(3)/2)))*(i*im(atan(-1/2 + i*sqrt(3)/2 + sqrt(2)*sqrt(1 - i*sqrt(3))/2)) + re(atan(-1/2 + i*sqrt(3)/2 + sqrt(2)*sqrt(1 - i*sqrt(3))/2)))*atan(-2 + sqrt(3) + 2*sqrt(2 - sqrt(3)))*atan(2 + sqrt(3) - 2*sqrt(2 + sqrt(3)))*atan(2 + sqrt(3) + 2*sqrt(2 + sqrt(3)))*atan(2 - sqrt(3) + 2*sqrt(2 - sqrt(3)))
Respuesta numérica
[src]
x1 = -97.6511716490827
x2 = -42.1497014356631
x3 = -20.1585528605345
x4 = 100.269165527074
x5 = 71.9948316447661
x6 = 58.3812634792103
x7 = 78.2780169519457
x8 = -100.792764302673
x9 = -9.68657734856853
x10 = -95.5567765466895
x11 = -88.2263936883134
x12 = 50.0036830696375
x13 = 1.83259571459405
x14 = -70.4240353179712
x15 = -0.261799387799149
x16 = 30.1069295969022
x17 = -13.8753675533549
x18 = -31.6777259236971
x19 = 89.7971900151083
x20 = -7283.52076796014
x21 = 87.7027949127151
x22 = 23.8237442897226
x23 = -59.9520598060052
x24 = -345.836991282676
x25 = -44.2440965380563
x26 = -7.59218224617533
x27 = 8.11578102177363
x28 = 74.0892267471593
x29 = -79.8488132787406
x30 = -94.5095789954929
x31 = -92.4151838930998
x32 = -86.1319985859202
x33 = 62.5700536839967
x34 = 28.012534494509
x35 = 43.720497762458
x36 = 6.02138591938044
x37 = -29.5833308213039
x38 = -66.2352451131848
x39 = 65.7116463375865
x40 = 17.540558982543
x41 = 12.30457122656
x42 = -73.565627971561
x43 = -35.8665161284835
x44 = -64.1408500107916
x45 = 52.0980781720307
x46 = 34.2957198016886
x47 = -75.6600230739542
x48 = 36.3901149040818
x49 = -15.9697626557481
x50 = -37.9609112308767
x51 = 84.5612022591253
x52 = 14.3989663289532
x53 = 80.3724120543389
x54 = -53.6688744988256
x55 = 45.8148928648512
x56 = -22.2529479629277
x57 = -57.857664703612
x58 = 56.2868683768171
x59 = 124.354709204596
x60 = -51.5744793964324
x61 = 96.0803753222878
x62 = 93.9859802198946
x63 = -81.9432083811338
x64 = 67.8060414399797
x65 = 21.7293491873294
x65 = 21.7293491873294