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sec(x)=5/2 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
sec(x) = 5/2
$$\sec{\left(x \right)} = \frac{5}{2}$$
Gráfica
Suma y producto de raíces [src]
suma
  /     /        ____\         \     /     /        ____\         \
I*\- log\2 - I*\/ 21 / + log(5)/ + I*\- log\2 + I*\/ 21 / + log(5)/
$$i \left(\log{\left(5 \right)} - \log{\left(2 - \sqrt{21} i \right)}\right) + i \left(\log{\left(5 \right)} - \log{\left(2 + \sqrt{21} i \right)}\right)$$
=
  /     /        ____\         \     /     /        ____\         \
I*\- log\2 + I*\/ 21 / + log(5)/ + I*\- log\2 - I*\/ 21 / + log(5)/
$$i \left(\log{\left(5 \right)} - \log{\left(2 - \sqrt{21} i \right)}\right) + i \left(\log{\left(5 \right)} - \log{\left(2 + \sqrt{21} i \right)}\right)$$
producto
  /     /        ____\         \   /     /        ____\         \
I*\- log\2 - I*\/ 21 / + log(5)/*I*\- log\2 + I*\/ 21 / + log(5)/
$$i \left(\log{\left(5 \right)} - \log{\left(2 - \sqrt{21} i \right)}\right) i \left(\log{\left(5 \right)} - \log{\left(2 + \sqrt{21} i \right)}\right)$$
=
 /     /        ____\         \ /     /        ____\         \
-\- log\2 + I*\/ 21 / + log(5)/*\- log\2 - I*\/ 21 / + log(5)/
$$- \left(\log{\left(5 \right)} - \log{\left(2 - \sqrt{21} i \right)}\right) \left(\log{\left(5 \right)} - \log{\left(2 + \sqrt{21} i \right)}\right)$$
-(-log(2 + i*sqrt(21)) + log(5))*(-log(2 - i*sqrt(21)) + log(5))
Respuesta rápida [src]
       /     /        ____\         \
x1 = I*\- log\2 - I*\/ 21 / + log(5)/
$$x_{1} = i \left(\log{\left(5 \right)} - \log{\left(2 - \sqrt{21} i \right)}\right)$$
       /     /        ____\         \
x2 = I*\- log\2 + I*\/ 21 / + log(5)/
$$x_{2} = i \left(\log{\left(5 \right)} - \log{\left(2 + \sqrt{21} i \right)}\right)$$
x2 = i*(log(5) - log(2 + sqrt(21)*i))
Respuesta numérica [src]
x1 = 67.955758898248
x2 = -63.9911325525233
x3 = 38.8583913238049
x4 = 86.8053148197868
x5 = -1.15927948072741
x6 = -49.1062029767093
x7 = -36.5398323623501
x8 = 61.6725735910685
x9 = -61.6725735910685
x10 = -23.9734617479909
x11 = -74.2389442054276
x12 = 45.1415766309845
x13 = -17.6902764408113
x14 = -1374.8583027916
x15 = 82.840688474062
x16 = -89.1238737812416
x17 = -82.840688474062
x18 = -13.7256500950866
x19 = -67.955758898248
x20 = -57.7079472453437
x21 = 74.2389442054276
x22 = -86.8053148197868
x23 = 30.2566470551705
x24 = 187.33627973466
x25 = -32.5752060166253
x26 = -633.442436544411
x27 = -20.0088354022662
x28 = 49.1062029767093
x29 = 80.5221295126072
x30 = 36.5398323623501
x31 = 1123.53089050442
x32 = 95.4070590884212
x33 = -45.1415766309845
x34 = 20.0088354022662
x35 = 2853.72540894026
x36 = 23.9734617479909
x37 = 63.9911325525233
x38 = -51.4247619381641
x39 = -12561.2467085327
x40 = -514.061915707999
x41 = -7.44246478790699
x42 = 13.7256500950866
x43 = -30.2566470551705
x44 = 70.2743178597029
x45 = 17.6902764408113
x46 = 26.2920207094458
x46 = 26.2920207094458