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log(x+5)(sin2x)=log(9+16x-4x^2)(sin2x) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
                         /              2\         
log(x + 5)*sin(2*x) = log\9 + 16*x - 4*x /*sin(2*x)
$$\log{\left(x + 5 \right)} \sin{\left(2 x \right)} = \log{\left(- 4 x^{2} + \left(16 x + 9\right) \right)} \sin{\left(2 x \right)}$$
Gráfica
Suma y producto de raíces [src]
suma
          pi
4 - 1/4 + --
          2 
$$\frac{\pi}{2} + \left(- \frac{1}{4} + 4\right)$$
=
15   pi
-- + --
4    2 
$$\frac{\pi}{2} + \frac{15}{4}$$
producto
0*(-1)   pi
------*4*--
  4      2 
$$\frac{\pi}{2} \cdot 4 \frac{\left(-1\right) 0}{4}$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = -1/4
$$x_{1} = - \frac{1}{4}$$
x2 = 0
$$x_{2} = 0$$
x3 = 4
$$x_{3} = 4$$
     pi
x4 = --
     2 
$$x_{4} = \frac{\pi}{2}$$
x4 = pi/2
Respuesta numérica [src]
x1 = 86.3937979737193
x2 = -7.85398163397448
x3 = 1.5707963267949
x4 = -64.4026493985908
x5 = -58.1194640914112
x6 = -20.4203522483337
x7 = 23.5619449019235
x8 = -45.553093477052
x9 = -29.845130209103
x10 = -9.42477796076938
x11 = -31.4159265358979
x12 = 29.845130209103
x13 = -61.261056745001
x14 = 45.553093477052
x15 = 72.2566310325652
x16 = 42.4115008234622
x17 = -15.707963267949
x18 = 56.5486677646163
x19 = -28.2743338823081
x20 = -21.9911485751286
x21 = 73.8274273593601
x22 = 95.8185759344887
x23 = 25.1327412287183
x24 = 36.1283155162826
x25 = -73.8274273593601
x26 = 58.1194640914112
x27 = 7.85398163397448
x28 = -72.2566310325652
x29 = 78.5398163397448
x30 = 0.0
x31 = 64.4026493985908
x32 = -50.2654824574367
x33 = 80.1106126665397
x34 = 87.9645943005142
x35 = -42.4115008234622
x36 = -67.5442420521806
x37 = -94.2477796076938
x38 = 4.0
x39 = 26.7035375555132
x40 = -59.6902604182061
x41 = -14.1371669411541
x42 = 65.9734457253857
x43 = 50.2654824574367
x44 = 28.2743338823081
x45 = -97.3893722612836
x46 = -86.3937979737193
x47 = 81.6814089933346
x48 = 12.5663706143592
x49 = 21.9911485751286
x50 = -40.8407044966673
x51 = -95.8185759344887
x52 = -36.1283155162826
x53 = 34.5575191894877
x54 = -81.6814089933346
x55 = -87.9645943005142
x56 = 43.9822971502571
x57 = 48.6946861306418
x58 = 20.4203522483337
x59 = 6.28318530717959
x60 = 37.6991118430775
x61 = 70.6858347057703
x62 = 51.8362787842316
x63 = -65.9734457253857
x64 = -83.2522053201295
x65 = -1.5707963267949
x66 = -17.2787595947439
x67 = 89.5353906273091
x68 = -6.28318530717959
x69 = 94.2477796076938
x70 = -51.8362787842316
x71 = -37.6991118430775
x72 = -39.2699081698724
x73 = -43.9822971502571
x74 = -53.4070751110265
x75 = 92.6769832808989
x76 = -23.5619449019235
x77 = 59.6902604182061
x78 = 14.1371669411541
x79 = -75.398223686155
x80 = -89.5353906273091
x81 = 15.707963267949
x82 = -80.1106126665397
x83 = 67.5442420521806
x84 = -98.9601685880785
x84 = -98.9601685880785