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Sqrt(2-x-x^2)(sinx-sqrt(3)cosx)=0

Sqrt(2-x-x^2)(sinx-sqrt(3)cosx)=0 方程

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数值解:

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解答

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   ____________                            
  /          2  /           ___       \    
\/  2 - x - x  *\sin(x) - \/ 3 *cos(x)/ = 0
$$\left(\sin{\left(x \right)} - \sqrt{3} \cos{\left(x \right)}\right) \sqrt{- x^{2} - x + 2} = 0$$
The graph
Sum and product of roots [src]
sum
            pi
0 - 2 + 1 + --
            3 
$$\left(\left(-2 + 0\right) + 1\right) + \frac{\pi}{3}$$
=
     pi
-1 + --
     3 
$$-1 + \frac{\pi}{3}$$
product
       pi
1*-2*1*--
       3 
$$\frac{\pi}{3} 1 \left(-2\right) 1$$
=
-2*pi
-----
  3  
$$- \frac{2 \pi}{3}$$
-2*pi/3
Rapid solution [src]
x1 = -2
$$x_{1} = -2$$
x2 = 1
$$x_{2} = 1$$
     pi
x3 = --
     3 
$$x_{3} = \frac{\pi}{3}$$
Numerical answer [src]
x1 = 41.8879020478639
x2 = -90.0589894029074
x3 = 32.4631240870945
x4 = 57.5958653158129
x5 = 89.0117918517108
x6 = -68.0678408277789
x7 = 1.0471975511966
x8 = -5.23598775598299
x9 = -93.2005820564972
x10 = 63.8790506229925
x11 = -46.0766922526503
x12 = 73.3038285837618
x13 = 26.1799387799149
x14 = -83.7758040957278
x15 = -20.943951023932
x16 = 60.7374579694027
x17 = 4.18879020478639
x18 = 13.6135681655558
x19 = -30.3687289847013
x20 = -96.342174710087
x21 = -24.0855436775217
x22 = -61.7846555205993
x23 = -64.9262481741891
x24 = 23.0383461263252
x25 = 29.3215314335047
x26 = -71.2094334813686
x27 = -17.8023583703422
x28 = -39.7935069454707
x29 = 45.0294947014537
x30 = -8.37758040957278
x31 = 35.6047167406843
x32 = -42.9350995990605
x33 = 70.162235930172
x34 = 95.2949771588904
x35 = -2.0
x36 = 19.8967534727354
x37 = -36.6519142918809
x38 = -2.0943951023932
x39 = 79.5870138909414
x40 = 104.71975511966
x41 = -33.5103216382911
x42 = -14.6607657167524
x43 = -58.6430628670095
x44 = 98.4365698124802
x45 = 54.4542726622231
x46 = 7.33038285837618
x47 = 38.7463093942741
x48 = -55.5014702134197
x49 = 82.7286065445312
x50 = 51.3126800086333
x51 = 48.1710873550435
x52 = 85.870199198121
x53 = 16.7551608191456
x54 = -80.634211442138
x55 = 92.1533845053006
x56 = -74.3510261349584
x57 = -27.2271363311115
x58 = -49.2182849062401
x59 = -52.3598775598299
x60 = -11.5191730631626
x61 = 10.471975511966
x62 = -86.9173967493176
x63 = -99.4837673636768
x64 = 67.0206432765823
x65 = -77.4926187885482
x66 = 76.4454212373516
x66 = 76.4454212373516
图像
Sqrt(2-x-x^2)(sinx-sqrt(3)cosx)=0 方程