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10*sin^2x+cos^2x+5*sin^2x*cos^2x=3 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
      2         2           2       2       
10*sin (x) + cos (x) + 5*sin (x)*cos (x) = 3
$$\left(10 \sin^{2}{\left(x \right)} + \cos^{2}{\left(x \right)}\right) + 5 \sin^{2}{\left(x \right)} \cos^{2}{\left(x \right)} = 3$$
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Gráfica
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Trazar el gráfico f2(x)
Respuesta rápida [src] 
           /       / 8       6       4       2       \\
x1 = 2*atan\CRootOf\x  - 24*x  - 10*x  - 24*x  + 1, 0//
$$x_{1} = 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{8} - 24 x^{6} - 10 x^{4} - 24 x^{2} + 1, 0\right)} \right)}$$ 
           /       / 8       6       4       2       \\
x2 = 2*atan\CRootOf\x  - 24*x  - 10*x  - 24*x  + 1, 1//
$$x_{2} = 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{8} - 24 x^{6} - 10 x^{4} - 24 x^{2} + 1, 1\right)} \right)}$$ 
           /       / 8       6       4       2       \\
x3 = 2*atan\CRootOf\x  - 24*x  - 10*x  - 24*x  + 1, 2//
$$x_{3} = 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{8} - 24 x^{6} - 10 x^{4} - 24 x^{2} + 1, 2\right)} \right)}$$ 
           /       / 8       6       4       2       \\
x4 = 2*atan\CRootOf\x  - 24*x  - 10*x  - 24*x  + 1, 3//
$$x_{4} = 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{8} - 24 x^{6} - 10 x^{4} - 24 x^{2} + 1, 3\right)} \right)}$$ 
         /    /       / 8       6       4       2       \\\         /    /       / 8       6       4       2       \\\
x5 = 2*re\atan\CRootOf\x  - 24*x  - 10*x  - 24*x  + 1, 4/// + 2*I*im\atan\CRootOf\x  - 24*x  - 10*x  - 24*x  + 1, 4///
$$x_{5} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{8} - 24 x^{6} - 10 x^{4} - 24 x^{2} + 1, 4\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{8} - 24 x^{6} - 10 x^{4} - 24 x^{2} + 1, 4\right)} \right)}\right)}$$ 
         /    /       / 8       6       4       2       \\\         /    /       / 8       6       4       2       \\\
x6 = 2*re\atan\CRootOf\x  - 24*x  - 10*x  - 24*x  + 1, 5/// + 2*I*im\atan\CRootOf\x  - 24*x  - 10*x  - 24*x  + 1, 5///
$$x_{6} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{8} - 24 x^{6} - 10 x^{4} - 24 x^{2} + 1, 5\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{8} - 24 x^{6} - 10 x^{4} - 24 x^{2} + 1, 5\right)} \right)}\right)}$$ 
         /    /       / 8       6       4       2       \\\         /    /       / 8       6       4       2       \\\
x7 = 2*re\atan\CRootOf\x  - 24*x  - 10*x  - 24*x  + 1, 6/// + 2*I*im\atan\CRootOf\x  - 24*x  - 10*x  - 24*x  + 1, 6///
$$x_{7} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{8} - 24 x^{6} - 10 x^{4} - 24 x^{2} + 1, 6\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{8} - 24 x^{6} - 10 x^{4} - 24 x^{2} + 1, 6\right)} \right)}\right)}$$ 
         /    /       / 8       6       4       2       \\\         /    /       / 8       6       4       2       \\\
x8 = 2*re\atan\CRootOf\x  - 24*x  - 10*x  - 24*x  + 1, 7/// + 2*I*im\atan\CRootOf\x  - 24*x  - 10*x  - 24*x  + 1, 7///
$$x_{8} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{8} - 24 x^{6} - 10 x^{4} - 24 x^{2} + 1, 7\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{8} - 24 x^{6} - 10 x^{4} - 24 x^{2} + 1, 7\right)} \right)}\right)}$$ 
Eq(x8, 2*re(atan(CRootOf(x^8 - 24*x^6 - 10*x^4 - 24*x^2 + 1, 7))) + 2*i*im(atan(CRootOf(x^8 - 24*x^6 - 10*x^4 - 24*x^2 + 1, 7))))
Respuesta numérica [src] 
x1 = -3.54069099291991
x2 = 82.0805073326647
x3 = 38.0982101824076
x4 = -116.638026522152
x5 = -27.875235542978
x6 = 93.8486812683637
x7 = 47.522988143177
x8 = -766.94770581524
x9 = -65.5743473860555
x10 = 18.4504575822086
x11 = -91.5052852934341
x12 = -82.0805073326647
x13 = -19.2486542608689
x14 = 60.0893587575362
x15 = 84.4239033075943
x16 = 46.7247914645168
x17 = -93.8486812683637
x18 = 27.875235542978
x19 = -78.1407180004147
x20 = -9.82387630009949
x21 = -38.0982101824076
x22 = 175.530090261698
x23 = -75.7973220254852
x24 = 69.5141367183056
x25 = -60.0893587575362
x26 = -47.522988143177
x27 = 68.7159400396453
x28 = 22.3902469144587
x29 = 44.3813954895872
x30 = -5.88408696784947
x31 = 9.82387630009949
x32 = -40.4416061573372
x33 = 24.7336428893882
x34 = -97.7884706006137
x35 = 90.7070886147739
x36 = -56.1495694252862
x37 = -12.1672722750291
x38 = -49.8663841181066
x39 = 3.54069099291991
x40 = 100.131866575543
x41 = -18.4504575822086
x42 = -53.8061734503566
x43 = 71.8575326932351
x44 = -85.2220999862545
x45 = 88.3636926398443
x46 = 12.9654689536893
x47 = 12.1672722750291
x48 = -41.2398028359974
x49 = -71.8575326932351
x50 = 176.328286940359
x51 = 34.1584208501576
x52 = 75.7973220254852
x53 = -16.1070616072791
x54 = -34.1584208501576
x55 = -62.4327547324658
x56 = -87.5654959611841
x57 = 91.5052852934341
x58 = -43.583198810927
x59 = 159.822126993749
x60 = -100.131866575543
x61 = -69.5141367183056
x62 = -31.815024875228
x63 = 97.7884706006137
x64 = -25.5318395680485
x65 = 40.4416061573372
x66 = 62.4327547324658
x67 = 25.5318395680485
x68 = -84.4239033075943
x69 = 49.8663841181066
x70 = -21.5920502357984
x71 = -63.230951411126
x72 = 2.74249431425968
x73 = 56.1495694252862
x74 = 5.88408696784947
x75 = 31.815024875228
x76 = 895.753004612421
x77 = 0.399098339330114
x78 = 78.1407180004147
x79 = 53.8061734503566
x80 = 66.3725440647158
x81 = 16.1070616072791
x82 = 68562.517170283
x82 = 68562.517170283
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