Sr Examen

Otras calculadoras

sqrt(4*sin(x)^2+1)+sqrt(4*cos(x)^2+3)=4 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            
\/  4*sin (x) + 1  + \/  4*cos (x) + 3  = 4
$$\sqrt{4 \sin^{2}{\left(x \right)} + 1} + \sqrt{4 \cos^{2}{\left(x \right)} + 3} = 4$$
Gráfica
Respuesta rápida [src]
     -2*pi
x1 = -----
       3  
$$x_{1} = - \frac{2 \pi}{3}$$
     -pi 
x2 = ----
      3  
$$x_{2} = - \frac{\pi}{3}$$
     pi
x3 = --
     3 
$$x_{3} = \frac{\pi}{3}$$
     2*pi
x4 = ----
      3  
$$x_{4} = \frac{2 \pi}{3}$$
x4 = 2*pi/3
Suma y producto de raíces [src]
suma
  2*pi   pi   pi   2*pi
- ---- - -- + -- + ----
   3     3    3     3  
$$\left(\left(- \frac{2 \pi}{3} - \frac{\pi}{3}\right) + \frac{\pi}{3}\right) + \frac{2 \pi}{3}$$
=
0
$$0$$
producto
-2*pi -pi  pi 2*pi
-----*----*--*----
  3    3   3   3  
$$\frac{2 \pi}{3} \frac{\pi}{3} \cdot - \frac{2 \pi}{3} \left(- \frac{\pi}{3}\right)$$
=
    4
4*pi 
-----
  81 
$$\frac{4 \pi^{4}}{81}$$
4*pi^4/81
Respuesta numérica [src]
x1 = -55.5014703840287
x2 = 90.0589892984235
x3 = -70.1622357885321
x4 = -83.7758040760461
x5 = 96.3421746637878
x6 = 54.4542725206643
x7 = -76.4454209340877
x8 = -60.7374578807317
x9 = -5.23598805743283
x10 = 842.994028220751
x11 = 32.4631239396619
x12 = -85.8701986941832
x13 = -29.3215315380332
x14 = -46.076692202323
x15 = 4.18879025419985
x16 = -32.4631237784248
x17 = -41.8879027238169
x18 = -10.4719752009352
x19 = 10.4719753586888
x20 = 24.0855436242085
x21 = 5.23598772047997
x22 = 48.1710874213563
x23 = 38.7463090970167
x24 = 27.227136246656
x25 = 16.7551605196518
x26 = 76.4454211016935
x27 = 55.5014705300072
x28 = -51.3126802823934
x29 = 41.887902106768
x30 = -20.9439509647892
x31 = -24.085543624456
x32 = 8.37758035483421
x33 = -85.8701993400383
x34 = 74.3510260860811
x35 = -57.5958653732454
x36 = 23.0383462894361
x37 = 60.7374576746425
x38 = 14.6607657889296
x39 = -17.802358328786
x40 = 17.8023585372882
x41 = 19.8967535300721
x42 = 1.04719772986659
x43 = 83.7758042809172
x44 = 63.8790506830972
x45 = 99.4837676825419
x46 = -95.2949773351447
x47 = 93.2005821199524
x48 = -26.1799386254809
x49 = -11.5191732222525
x50 = 77.4926191064287
x51 = -42.9350990080932
x52 = 89.0117918753273
x53 = 11.5191733763095
x54 = -16.7551608087279
x55 = -64.9262481447218
x56 = -79.5870139484211
x57 = -54.4542723561463
x58 = -71.2094337867813
x59 = 61.7846556997781
x60 = -77.4926189648574
x61 = 93.2005818840963
x62 = 68.0678406961911
x63 = 52.3598775086799
x64 = 85.8701992590604
x65 = 71.2094333105913
x66 = -98.4365695122376
x67 = -33.5103218031593
x68 = -27.227136634216
x69 = -61.7846554938578
x70 = 67.020643348624
x71 = -38.7463093423676
x72 = 92.1533845899807
x73 = 49.2182847735961
x74 = -73.3038288414018
x75 = -82.7286064236131
x76 = 46.076692093639
x77 = 98.4365696827473
x78 = -92.1533843701671
x79 = -19.8967532979694
x80 = 26.1799388375637
x81 = -457.625330495538
x82 = 30.3687289315931
x83 = 45.0294948224653
x84 = -90.0589893594134
x85 = -35.6047167976155
x86 = -99.4837675456424
x87 = -4.18879004406146
x88 = -67.0206428604883
x89 = -42.9351005383323
x90 = -2.09439504699803
x91 = -10.4719745982489
x92 = 39.7935071185682
x93 = -48.1710872069707
x94 = -49.2182852106741
x95 = 70.1622360055721
x96 = -39.7935069114535
x97 = 33.5103219532954
x98 = 82.7286062525117
x99 = -13.6135682215774
x100 = -93.2005823625084
x101 = -68.0678407806286
x101 = -68.0678407806286