Sr Examen
6^(3*x+1)=36^(-x+13,5) la ecuación
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Solución
Suma y producto de raíces
[src]
suma
26 26 4*pi*I 26 2*pi*I 26 2*pi*I 26 4*pi*I -- + -- - -------- + -- - -------- + -- + -------- + -- + -------- 5 5 5*log(6) 5 5*log(6) 5 5*log(6) 5 5*log(6)
$$\left(\left(\left(\frac{26}{5} + \left(\frac{26}{5} - \frac{4 i \pi}{5 \log{\left(6 \right)}}\right)\right) + \left(\frac{26}{5} - \frac{2 i \pi}{5 \log{\left(6 \right)}}\right)\right) + \left(\frac{26}{5} + \frac{2 i \pi}{5 \log{\left(6 \right)}}\right)\right) + \left(\frac{26}{5} + \frac{4 i \pi}{5 \log{\left(6 \right)}}\right)$$
=
26
$$26$$
producto
/26 4*pi*I \
26*|-- - --------|
\5 5*log(6)/ /26 2*pi*I \ /26 2*pi*I \ /26 4*pi*I \
------------------*|-- - --------|*|-- + --------|*|-- + --------|
5 \5 5*log(6)/ \5 5*log(6)/ \5 5*log(6)/
$$\frac{26 \left(\frac{26}{5} - \frac{4 i \pi}{5 \log{\left(6 \right)}}\right)}{5} \left(\frac{26}{5} - \frac{2 i \pi}{5 \log{\left(6 \right)}}\right) \left(\frac{26}{5} + \frac{2 i \pi}{5 \log{\left(6 \right)}}\right) \left(\frac{26}{5} + \frac{4 i \pi}{5 \log{\left(6 \right)}}\right)$$
=
4 2
11881376 1664*pi 70304*pi
-------- + ------------ + -----------
3125 4 2
3125*log (6) 625*log (6)
$$\frac{1664 \pi^{4}}{3125 \log{\left(6 \right)}^{4}} + \frac{70304 \pi^{2}}{625 \log{\left(6 \right)}^{2}} + \frac{11881376}{3125}$$
11881376/3125 + 1664*pi^4/(3125*log(6)^4) + 70304*pi^2/(625*log(6)^2)
Respuesta rápida
[src]
x1 = 26/5
$$x_{1} = \frac{26}{5}$$
26 4*pi*I
x2 = -- - --------
5 5*log(6)
$$x_{2} = \frac{26}{5} - \frac{4 i \pi}{5 \log{\left(6 \right)}}$$
26 2*pi*I
x3 = -- - --------
5 5*log(6)
$$x_{3} = \frac{26}{5} - \frac{2 i \pi}{5 \log{\left(6 \right)}}$$
26 2*pi*I
x4 = -- + --------
5 5*log(6)
$$x_{4} = \frac{26}{5} + \frac{2 i \pi}{5 \log{\left(6 \right)}}$$
26 4*pi*I
x5 = -- + --------
5 5*log(6)
$$x_{5} = \frac{26}{5} + \frac{4 i \pi}{5 \log{\left(6 \right)}}$$
x5 = 26/5 + 4*i*pi/(5*log(6))
Respuesta numérica
[src]
x1 = 5.2
x2 = 5.2 - 1.40268499541104*i
x3 = 5.2 - 0.701342497705518*i
x4 = 5.2 + 0.701342497705518*i
x5 = 5.2 + 1.40268499541104*i
x5 = 5.2 + 1.40268499541104*i