Sr Examen

Otras calculadoras

(9^(sin(2x))-3^(2*sqrt(2)*sinx))/(sqrt(11*sinx))=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]
                 ___           
 sin(2*x)    2*\/ 2 *sin(x)    
9         - 3                  
--------------------------- = 0
         ___________           
       \/ 11*sin(x)            
$$\frac{- 3^{2 \sqrt{2} \sin{\left(x \right)}} + 9^{\sin{\left(2 x \right)}}}{\sqrt{11 \sin{\left(x \right)}}} = 0$$
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      4  
$$x_{1} = - \frac{\pi}{4}$$
     pi
x2 = --
     4 
$$x_{2} = \frac{\pi}{4}$$
x2 = pi/4
Suma y producto de raíces [src]
suma
  pi   pi
- -- + --
  4    4 
$$- \frac{\pi}{4} + \frac{\pi}{4}$$
=
0
$$0$$
producto
-pi  pi
----*--
 4   4 
$$- \frac{\pi}{4} \frac{\pi}{4}$$
=
   2 
-pi  
-----
  16 
$$- \frac{\pi^{2}}{16}$$
-pi^2/16
Respuesta numérica [src]
x1 = 63.6172512351933
x2 = -0.785398163397448
x3 = -51.0508806208341
x4 = -7.06858347057703
x5 = 19.6349540849362
x6 = -68.329640215578
x7 = 32.2013246992954
x8 = -55.7632696012188
x9 = -95.0331777710912
x10 = 18.0641577581413
x11 = 9.42477796076938 + 0.680393433142602*i
x12 = 36.9137136796801
x13 = -47.1238898038469 + 0.680393433142602*i
x14 = -32.2013246992954
x15 = 80.8960108299372
x16 = 7.06858347057703
x17 = -36.9137136796801
x18 = -76.1836218495525
x19 = -3.14159265358979 + 0.680393433142602*i
x20 = -25.9181393921158
x21 = 55.7632696012188
x22 = 40.8407044966673 + 0.680393433142602*i
x23 = -38.484510006475
x24 = 99.7455667514759
x25 = -20.2638318602414 - 16.8706944088928*i
x26 = 30.6305283725005
x27 = -62.0464549083984
x28 = -11.7809724509617
x29 = 11.7809724509617
x30 = -57.3340659280137
x31 = -88.7499924639117
x32 = 69.9004365423729
x33 = -44.7676953136546
x34 = -34.5575191894877 + 0.680393433142602*i
x35 = -19.6349540849362
x36 = -63.6172512351933
x37 = 11.1756107638158 - 1.4262072366726*i
x38 = -18.0641577581413
x39 = 76.1836218495525
x40 = 49.4800842940392
x41 = -13.3517687777566
x42 = 25.9181393921158
x43 = 93.4623814442964
x44 = -69.9004365423729
x45 = -65.9734457253857 + 0.680393433142602*i
x46 = 87.1791961371168
x47 = 24.3473430653209
x48 = 84.8230016469244 + 0.680393433142602*i
x49 = -99.7455667514759
x50 = 5.49778714378214
x51 = 43.1968989868597
x52 = -78.5398163397448 + 1.55155746322036*i
x53 = 74.6128255227576
x54 = -82.4668071567321
x55 = 62.0464549083984
x56 = -24.3473430653209
x57 = 68.329640215578
x57 = 68.329640215578