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sin^3pix/5+cos^3pix/5=1 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
   3            3          
sin (pi*x)   cos (pi*x)    
---------- + ---------- = 1
    5            5
sin⁡3(πx)5+cos⁡3(πx)5=1\frac{\sin^{3}{\left(\pi x \right)}}{5} + \frac{\cos^{3}{\left(\pi x \right)}}{5} = 1
Simplificar
Gráfica
0-80-60-40-2020406080-1001002-1
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
         /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\
     2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 0///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 0///
x1 = ----------------------------------------------------- + -------------------------------------------------------
                               pi                                                       pi
x1=2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,0)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,0)))πx_{1} = \frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 0\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 0\right)} \right)}\right)}}{\pi} 
         /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\
     2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 1///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 1///
x2 = ----------------------------------------------------- + -------------------------------------------------------
                               pi                                                       pi
x2=2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,1)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,1)))πx_{2} = \frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 1\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 1\right)} \right)}\right)}}{\pi} 
         /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\
     2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 2///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 2///
x3 = ----------------------------------------------------- + -------------------------------------------------------
                               pi                                                       pi
x3=2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,2)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,2)))πx_{3} = \frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 2\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 2\right)} \right)}\right)}}{\pi} 
         /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\
     2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 3///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 3///
x4 = ----------------------------------------------------- + -------------------------------------------------------
                               pi                                                       pi
x4=2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,3)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,3)))πx_{4} = \frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 3\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 3\right)} \right)}\right)}}{\pi} 
         /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\
     2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 4///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 4///
x5 = ----------------------------------------------------- + -------------------------------------------------------
                               pi                                                       pi
x5=2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,4)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,4)))πx_{5} = \frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 4\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 4\right)} \right)}\right)}}{\pi} 
         /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\
     2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 5///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 5///
x6 = ----------------------------------------------------- + -------------------------------------------------------
                               pi                                                       pi
x6=2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,5)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,5)))πx_{6} = \frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 5\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 5\right)} \right)}\right)}}{\pi} 
Eq(x6, 2*re(atan(CRootOf(3*x^6 + 6*x^4 - 4*x^3 + 9*x^2 + 2, 5)))/pi + 2*i*im(atan(CRootOf(3*x^6 + 6*x^4 - 4*x^3 + 9*x^2 + 2, 5)))/pi)
Suma y producto de raíces [src] 
suma
    /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\       /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\       /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\       /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\       /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\       /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\
2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 0///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 0///   2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 1///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 1///   2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 2///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 2///   2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 3///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 3///   2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 4///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 4///   2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 5///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 5///
----------------------------------------------------- + ------------------------------------------------------- + ----------------------------------------------------- + ------------------------------------------------------- + ----------------------------------------------------- + ------------------------------------------------------- + ----------------------------------------------------- + ------------------------------------------------------- + ----------------------------------------------------- + ------------------------------------------------------- + ----------------------------------------------------- + -------------------------------------------------------
                          pi                                                       pi                                                       pi                                                       pi                                                       pi                                                       pi                                                       pi                                                       pi                                                       pi                                                       pi                                                       pi                                                       pi
(((((2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,0)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,0)))π)+(2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,1)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,1)))π))+(2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,2)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,2)))π))+(2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,3)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,3)))π))+(2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,4)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,4)))π))+(2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,5)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,5)))π)\left(\left(\left(\left(\left(\frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 0\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 0\right)} \right)}\right)}}{\pi}\right) + \left(\frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 1\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 1\right)} \right)}\right)}}{\pi}\right)\right) + \left(\frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 2\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 2\right)} \right)}\right)}}{\pi}\right)\right) + \left(\frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 3\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 3\right)} \right)}\right)}}{\pi}\right)\right) + \left(\frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 4\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 4\right)} \right)}\right)}}{\pi}\right)\right) + \left(\frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 5\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 5\right)} \right)}\right)}}{\pi}\right) 
=
    /    /       /   6      4      3      2       \\\       /    /       /   6      4      3      2       \\\       /    /       /   6      4      3      2       \\\       /    /       /   6      4      3      2       \\\       /    /       /   6      4      3      2       \\\       /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\
2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 0///   2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 1///   2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 2///   2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 3///   2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 4///   2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 5///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 0///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 1///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 2///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 3///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 4///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 5///
----------------------------------------------------- + ----------------------------------------------------- + ----------------------------------------------------- + ----------------------------------------------------- + ----------------------------------------------------- + ----------------------------------------------------- + ------------------------------------------------------- + ------------------------------------------------------- + ------------------------------------------------------- + ------------------------------------------------------- + ------------------------------------------------------- + -------------------------------------------------------
                          pi                                                      pi                                                      pi                                                      pi                                                      pi                                                      pi                                                       pi                                                        pi                                                        pi                                                        pi                                                        pi                                                        pi
2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,2)))π+2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,3)))π+2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,0)))π+2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,1)))π+2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,4)))π+2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,5)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,2)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,0)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,4)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,1)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,5)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,3)))π\frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 2\right)} \right)}\right)}}{\pi} + \frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 3\right)} \right)}\right)}}{\pi} + \frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 0\right)} \right)}\right)}}{\pi} + \frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 1\right)} \right)}\right)}}{\pi} + \frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 4\right)} \right)}\right)}}{\pi} + \frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 5\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 2\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 0\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 4\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 1\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 5\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 3\right)} \right)}\right)}}{\pi} 
producto
/    /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\\ /    /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\\ /    /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\\ /    /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\\ /    /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\\ /    /    /       /   6      4      3      2       \\\         /    /       /   6      4      3      2       \\\\
|2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 0///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 0///| |2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 1///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 1///| |2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 2///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 2///| |2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 3///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 3///| |2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 4///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 4///| |2*re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 5///   2*I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 5///|
|----------------------------------------------------- + -------------------------------------------------------|*|----------------------------------------------------- + -------------------------------------------------------|*|----------------------------------------------------- + -------------------------------------------------------|*|----------------------------------------------------- + -------------------------------------------------------|*|----------------------------------------------------- + -------------------------------------------------------|*|----------------------------------------------------- + -------------------------------------------------------|
\                          pi                                                       pi                          / \                          pi                                                       pi                          / \                          pi                                                       pi                          / \                          pi                                                       pi                          / \                          pi                                                       pi                          / \                          pi                                                       pi                          /
(2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,0)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,0)))π)(2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,1)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,1)))π)(2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,2)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,2)))π)(2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,3)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,3)))π)(2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,4)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,4)))π)(2re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,5)))π+2iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,5)))π)\left(\frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 0\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 0\right)} \right)}\right)}}{\pi}\right) \left(\frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 1\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 1\right)} \right)}\right)}}{\pi}\right) \left(\frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 2\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 2\right)} \right)}\right)}}{\pi}\right) \left(\frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 3\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 3\right)} \right)}\right)}}{\pi}\right) \left(\frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 4\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 4\right)} \right)}\right)}}{\pi}\right) \left(\frac{2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 5\right)} \right)}\right)}}{\pi} + \frac{2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 5\right)} \right)}\right)}}{\pi}\right) 
=
   /    /    /       /   6      4      3      2       \\\     /    /       /   6      4      3      2       \\\\ /    /    /       /   6      4      3      2       \\\     /    /       /   6      4      3      2       \\\\ /    /    /       /   6      4      3      2       \\\     /    /       /   6      4      3      2       \\\\ /    /    /       /   6      4      3      2       \\\     /    /       /   6      4      3      2       \\\\ /    /    /       /   6      4      3      2       \\\     /    /       /   6      4      3      2       \\\\ /    /    /       /   6      4      3      2       \\\     /    /       /   6      4      3      2       \\\\
64*\I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 0/// + re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 0////*\I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 1/// + re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 1////*\I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 2/// + re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 2////*\I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 3/// + re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 3////*\I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 4/// + re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 4////*\I*im\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 5/// + re\atan\CRootOf\3*x  + 6*x  - 4*x  + 9*x  + 2, 5////
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                                                                                                                                                                                                                                                                                                                                           6                                                                                                                                                                                                                                                                                                                                          
                                                                                                                                                                                                                                                                                                                                         pi
64(re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,0)))+iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,0))))(re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,1)))+iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,1))))(re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,2)))+iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,2))))(re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,3)))+iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,3))))(re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,4)))+iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,4))))(re⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,5)))+iim⁡(atan⁡(CRootOf⁡(3x6+6x4−4x3+9x2+2,5))))π6\frac{64 \left(\operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 0\right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 0\right)} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 1\right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 1\right)} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 2\right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 2\right)} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 3\right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 3\right)} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 4\right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 4\right)} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 5\right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(3 x^{6} + 6 x^{4} - 4 x^{3} + 9 x^{2} + 2, 5\right)} \right)}\right)}\right)}{\pi^{6}} 
64*(i*im(atan(CRootOf(3*x^6 + 6*x^4 - 4*x^3 + 9*x^2 + 2, 0))) + re(atan(CRootOf(3*x^6 + 6*x^4 - 4*x^3 + 9*x^2 + 2, 0))))*(i*im(atan(CRootOf(3*x^6 + 6*x^4 - 4*x^3 + 9*x^2 + 2, 1))) + re(atan(CRootOf(3*x^6 + 6*x^4 - 4*x^3 + 9*x^2 + 2, 1))))*(i*im(atan(CRootOf(3*x^6 + 6*x^4 - 4*x^3 + 9*x^2 + 2, 2))) + re(atan(CRootOf(3*x^6 + 6*x^4 - 4*x^3 + 9*x^2 + 2, 2))))*(i*im(atan(CRootOf(3*x^6 + 6*x^4 - 4*x^3 + 9*x^2 + 2, 3))) + re(atan(CRootOf(3*x^6 + 6*x^4 - 4*x^3 + 9*x^2 + 2, 3))))*(i*im(atan(CRootOf(3*x^6 + 6*x^4 - 4*x^3 + 9*x^2 + 2, 4))) + re(atan(CRootOf(3*x^6 + 6*x^4 - 4*x^3 + 9*x^2 + 2, 4))))*(i*im(atan(CRootOf(3*x^6 + 6*x^4 - 4*x^3 + 9*x^2 + 2, 5))) + re(atan(CRootOf(3*x^6 + 6*x^4 - 4*x^3 + 9*x^2 + 2, 5))))/pi^6
Respuesta numérica [src] 
x1 = -0.0550914773250194 - 0.335099373957509*i
x2 = -0.0550914773250194 + 0.335099373957509*i
x3 = -0.75 - 0.389648821745427*i
x4 = -0.75 + 0.389648821745427*i
x5 = 0.555091477325019 - 0.335099373957509*i
x6 = 0.555091477325019 + 0.335099373957509*i
x6 = 0.555091477325019 + 0.335099373957509*i
    © Sr Examen – Калькулятор