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tg((pi(4x-21))/6)=(sqrt(3))/3 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Solución numérica:

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Solución

Ha introducido [src]
                       ___
   /pi*(4*x - 21)\   \/ 3 
tan|-------------| = -----
   \      6      /     3  
$$\tan{\left(\frac{\pi \left(4 x - 21\right)}{6} \right)} = \frac{\sqrt{3}}{3}$$
Gráfica
Respuesta rápida [src]
x1 = -1/2
$$x_{1} = - \frac{1}{2}$$
x1 = -1/2
Suma y producto de raíces [src]
suma
-1/2
$$- \frac{1}{2}$$
=
-1/2
$$- \frac{1}{2}$$
producto
-1/2
$$- \frac{1}{2}$$
=
-1/2
$$- \frac{1}{2}$$
-1/2
Respuesta numérica [src]
x1 = 44.5
x2 = 2.5
x3 = 20.5
x4 = -8.0
x5 = 94.0
x6 = 86.5
x7 = 10.0
x8 = -74.0
x9 = -87.5
x10 = 100.0
x11 = -26.0
x12 = 34.0
x13 = -3.5
x14 = -63.5
x15 = -2.0
x16 = -50.0
x17 = 62.5
x18 = 46.0
x19 = 14.5
x20 = 16.0
x21 = 28.0
x22 = 88.0
x23 = -45.5
x24 = 4.0
x25 = -38.0
x26 = 70.0
x27 = 58.0
x28 = -33.5
x29 = -92.0
x30 = -86.0
x31 = -44.0
x32 = 32.5
x33 = -80.0
x34 = -9.5
x35 = 40.0
x36 = -93.5
x37 = 98.5
x38 = 64.0
x39 = -62.0
x40 = 52.0
x41 = -99.5
x42 = -56.0
x43 = -32.0
x44 = -57.5
x45 = -20.0
x46 = -39.5
x47 = -27.5
x48 = -14.0
x49 = -98.0
x50 = 26.5
x51 = 76.0
x52 = 50.5
x53 = -51.5
x54 = -81.5
x55 = 56.5
x56 = 74.5
x57 = 22.0
x58 = 82.0
x59 = 68.5
x60 = 92.5
x61 = 80.5
x62 = 38.5
x63 = -68.0
x64 = -75.5
x65 = -15.5
x66 = -21.5
x67 = 8.5
x68 = -69.5
x68 = -69.5