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cos^2a+2cosa=3

cos^2a+2cosa=3 уравнение

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Численное решение:

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Решение

Вы ввели [src]
   2                  
cos (a) + 2*cos(a) = 3
$$\cos^{2}{\left(a \right)} + 2 \cos{\left(a \right)} = 3$$
График
Сумма и произведение корней [src]
сумма
0 + 2*pi + -re(acos(-3)) + 2*pi - I*im(acos(-3)) + I*im(acos(-3)) + re(acos(-3))
$$\left(0\right) + \left(2 \pi\right) + \left(- \operatorname{re}{\left(\operatorname{acos}{\left(-3 \right)}\right)} + 2 \pi - i \operatorname{im}{\left(\operatorname{acos}{\left(-3 \right)}\right)}\right) + \left(\operatorname{re}{\left(\operatorname{acos}{\left(-3 \right)}\right)} + i \operatorname{im}{\left(\operatorname{acos}{\left(-3 \right)}\right)}\right)$$
=
4*pi
$$4 \pi$$
произведение
0 * 2*pi * -re(acos(-3)) + 2*pi - I*im(acos(-3)) * I*im(acos(-3)) + re(acos(-3))
$$\left(0\right) * \left(2 \pi\right) * \left(- \operatorname{re}{\left(\operatorname{acos}{\left(-3 \right)}\right)} + 2 \pi - i \operatorname{im}{\left(\operatorname{acos}{\left(-3 \right)}\right)}\right) * \left(\operatorname{re}{\left(\operatorname{acos}{\left(-3 \right)}\right)} + i \operatorname{im}{\left(\operatorname{acos}{\left(-3 \right)}\right)}\right)$$
=
0
$$0$$
Быстрый ответ [src]
a_1 = 0
$$a_{1} = 0$$
a_2 = 2*pi
$$a_{2} = 2 \pi$$
a_3 = -re(acos(-3)) + 2*pi - I*im(acos(-3))
$$a_{3} = - \operatorname{re}{\left(\operatorname{acos}{\left(-3 \right)}\right)} + 2 \pi - i \operatorname{im}{\left(\operatorname{acos}{\left(-3 \right)}\right)}$$
a_4 = I*im(acos(-3)) + re(acos(-3))
$$a_{4} = \operatorname{re}{\left(\operatorname{acos}{\left(-3 \right)}\right)} + i \operatorname{im}{\left(\operatorname{acos}{\left(-3 \right)}\right)}$$
Численный ответ [src]
a1 = 25.1327409024989
a2 = 50.2654824463432
a3 = 75.3982233759027
a4 = 69.115038054496
a5 = -61876.8089053072
a6 = -87.9645944749994
a7 = -43.9822971745589
a8 = -56.548667492407
a9 = 56.5486678409432
a10 = -25.132740912093
a11 = 11447.9636298742
a12 = 18.8495562335305
a13 = 69.1150387141275
a14 = -81.6814096646805
a15 = -282.743338929743
a16 = 62.8318533785525
a17 = -37.6991118772077
a18 = 81.6814088858804
a19 = -81.6814090381179
a20 = 43.982297169446
a21 = -94.2477794490648
a22 = 37.6991120253079
a23 = -18.8495555890782
a24 = -18.8495562492168
a25 = -25.1327415038378
a26 = 31.4159268182341
a27 = -125.663706316284
a28 = 62.8318528069781
a29 = 7.88764310166751e-7
a30 = 31.4159262304927
a31 = -56.5486680582853
a32 = -75.3982235342256
a33 = -100.530964647997
a34 = -62.8318527410786
a35 = 75.3982239732793
a36 = 25.13274156266
a37 = -12.566370914254
a38 = -12.5663703369957
a39 = 94.2477796093524
a40 = -50.2654824731035
a41 = -37.6991125906624
a42 = -6.28318513263288
a43 = -6.28318535667251
a44 = -50.2654822907544
a45 = 18.8495556514811
a46 = 753.982236294805
a47 = 2475.57501102851
a48 = -634.601716321939
a49 = 69.1150388009705
a50 = 94.2477788213902
a51 = -69.1150386589744
a52 = -31.4159267106428
a53 = -43.9822965676108
a54 = 56.5486676050654
a55 = -69.1150380582769
a56 = 0.0
a57 = 100.530964763128
a58 = -62.8318534006402
a59 = -75.3982238682888
a60 = 12.566370718528
a61 = 81.681409183074
a62 = -31.4159264066215
a63 = 12.5663704471419
a64 = 6.28318528422971
a65 = 37.6991117631003
a66 = -94.2477795858279
a67 = 87.9645943358319
a68 = -87.964594358694
a68 = -87.964594358694
График
cos^2a+2cosa=3 уравнение