Sr Examen

Otras calculadoras

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

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   ____________                            
  /          2  /           ___       \    
\/  2 - x - x  *\sin(x) - \/ 3 *cos(x)/ = 0
$$\sqrt{- x^{2} + \left(2 - x\right)} \left(\sin{\left(x \right)} - \sqrt{3} \cos{\left(x \right)}\right) = 0$$
Gráfica
Suma y producto de raíces [src]
suma
         2*pi   pi
-2 + 1 - ---- + --
          3     3 
$$\left(- \frac{2 \pi}{3} + \left(-2 + 1\right)\right) + \frac{\pi}{3}$$
=
     pi
-1 - --
     3 
$$- \frac{\pi}{3} - 1$$
producto
   -2*pi pi
-2*-----*--
     3   3 
$$\frac{\pi}{3} \left(- 2 \left(- \frac{2 \pi}{3}\right)\right)$$
=
    2
4*pi 
-----
  9  
$$\frac{4 \pi^{2}}{9}$$
4*pi^2/9
Respuesta rápida [src]
x1 = -2
$$x_{1} = -2$$
x2 = 1
$$x_{2} = 1$$
     -2*pi
x3 = -----
       3  
$$x_{3} = - \frac{2 \pi}{3}$$
     pi
x4 = --
     3 
$$x_{4} = \frac{\pi}{3}$$
x4 = pi/3
Respuesta numérica [src]
x1 = 16.7551608191456
x2 = -77.4926187885482
x3 = -14.6607657167524
x4 = 32.4631240870945
x5 = 1.0471975511966
x6 = 13.6135681655558
x7 = -86.9173967493176
x8 = 29.3215314335047
x9 = 82.7286065445312
x10 = -71.2094334813686
x11 = -2.0943951023932
x12 = -99.4837673636768
x13 = -68.0678408277789
x14 = 73.3038285837618
x15 = -96.342174710087
x16 = 41.8879020478639
x17 = 70.162235930172
x18 = 51.3126800086333
x19 = -5.23598775598299
x20 = -36.6519142918809
x21 = 54.4542726622231
x22 = -55.5014702134197
x23 = -2.0
x24 = 95.2949771588904
x25 = 10.471975511966
x26 = 60.7374579694027
x27 = -39.7935069454707
x28 = -46.0766922526503
x29 = -64.9262481741891
x30 = -27.2271363311115
x31 = -90.0589894029074
x32 = -52.3598775598299
x33 = 48.1710873550435
x34 = -80.634211442138
x35 = -49.2182849062401
x36 = 38.7463093942741
x37 = 67.0206432765823
x38 = 63.8790506229925
x39 = 19.8967534727354
x40 = 35.6047167406843
x41 = -58.6430628670095
x42 = 57.5958653158129
x43 = -11.5191730631626
x44 = 85.870199198121
x45 = 26.1799387799149
x46 = -33.5103216382911
x47 = -93.2005820564972
x48 = -24.0855436775217
x49 = 23.0383461263252
x50 = -61.7846555205993
x51 = 45.0294947014537
x52 = -83.7758040957278
x53 = -74.3510261349584
x54 = -30.3687289847013
x55 = 92.1533845053006
x56 = 4.18879020478639
x57 = 89.0117918517108
x58 = 7.33038285837618
x59 = 76.4454212373516
x60 = -17.8023583703422
x61 = 79.5870138909414
x62 = -8.37758040957278
x63 = -20.943951023932
x64 = 98.4365698124802
x65 = -42.9350995990605
x66 = 104.71975511966
x66 = 104.71975511966