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- La ecuación:
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Ecuación (x^2-x-12)/(x+3)=0
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Ecuación 8-x=5
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Ecuación x+4=7
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Ecuación x^3+4*x^2-4*x-16=0
- Expresar {x} en función de y en la ecuación:
- -9*x-12*y=-19
- -8*x+3*y=-4
- 10*x+3*y=2
- -10*x-12*y=-10
- Gráfico de la función y =:
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5x-4
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Expresiones idénticas
- (cinco x- cuatro)* tres ^(cuatro x-5)=5x-4
- (5x menos 4) multiplicar por 3 en el grado (4x menos 5) es igual a 5x menos 4
- (cinco x menos cuatro) multiplicar por tres en el grado (cuatro x menos 5) es igual a 5x menos 4
- (5x-4)*3(4x-5)=5x-4
- 5x-4*34x-5=5x-4
- (5x-4)3^(4x-5)=5x-4
- (5x-4)3(4x-5)=5x-4
- 5x-434x-5=5x-4
- 5x-43^4x-5=5x-4
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Expresiones semejantes
- 5*(x-4)=x+8
- (5x-4)*3^(4x+5)=5x-4
- (5x-4)*3^(4x-5)=5x+4
- 5(x-4,2)=11x
- (5x+4)*3^(4x-5)=5x-4
- -0.5x*(-4)=940
(5x-4)*3^(4x-5)=5x-4 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Respuesta rápida
[src]
x1 = 4/5
$$x_{1} = \frac{4}{5}$$
x2 = 5/4
$$x_{2} = \frac{5}{4}$$
log(243) pi*I
x3 = -------- + ------
4*log(3) log(3)
$$x_{3} = \frac{\log{\left(243 \right)}}{4 \log{\left(3 \right)}} + \frac{i \pi}{\log{\left(3 \right)}}$$
log(243) pi*I
x4 = -------- - --------
4*log(3) 2*log(3)
$$x_{4} = \frac{\log{\left(243 \right)}}{4 \log{\left(3 \right)}} - \frac{i \pi}{2 \log{\left(3 \right)}}$$
log(243) pi*I
x5 = -------- + --------
4*log(3) 2*log(3)
$$x_{5} = \frac{\log{\left(243 \right)}}{4 \log{\left(3 \right)}} + \frac{i \pi}{2 \log{\left(3 \right)}}$$
x5 = log(243)/(4*log(3)) + i*pi/(2*log(3))
Suma y producto de raíces
[src]
suma
log(243) pi*I log(243) pi*I log(243) pi*I
4/5 + 5/4 + -------- + ------ + -------- - -------- + -------- + --------
4*log(3) log(3) 4*log(3) 2*log(3) 4*log(3) 2*log(3)
$$\left(\frac{\log{\left(243 \right)}}{4 \log{\left(3 \right)}} + \frac{i \pi}{2 \log{\left(3 \right)}}\right) + \left(\left(\frac{\log{\left(243 \right)}}{4 \log{\left(3 \right)}} - \frac{i \pi}{2 \log{\left(3 \right)}}\right) + \left(\left(\frac{4}{5} + \frac{5}{4}\right) + \left(\frac{\log{\left(243 \right)}}{4 \log{\left(3 \right)}} + \frac{i \pi}{\log{\left(3 \right)}}\right)\right)\right)$$
=
41 3*log(243) pi*I -- + ---------- + ------ 20 4*log(3) log(3)
$$\frac{41}{20} + \frac{3 \log{\left(243 \right)}}{4 \log{\left(3 \right)}} + \frac{i \pi}{\log{\left(3 \right)}}$$
producto
4*5 /log(243) pi*I \ /log(243) pi*I \ /log(243) pi*I \ ---*|-------- + ------|*|-------- - --------|*|-------- + --------| 5*4 \4*log(3) log(3)/ \4*log(3) 2*log(3)/ \4*log(3) 2*log(3)/
$$\frac{4 \cdot 5}{4 \cdot 5} \left(\frac{\log{\left(243 \right)}}{4 \log{\left(3 \right)}} + \frac{i \pi}{\log{\left(3 \right)}}\right) \left(\frac{\log{\left(243 \right)}}{4 \log{\left(3 \right)}} - \frac{i \pi}{2 \log{\left(3 \right)}}\right) \left(\frac{\log{\left(243 \right)}}{4 \log{\left(3 \right)}} + \frac{i \pi}{2 \log{\left(3 \right)}}\right)$$
=
(-2*pi*I + log(243))*(2*pi*I + log(243))*(4*pi*I + log(243))
------------------------------------------------------------
3
64*log (3)
$$\frac{\left(\log{\left(243 \right)} - 2 i \pi\right) \left(\log{\left(243 \right)} + 2 i \pi\right) \left(\log{\left(243 \right)} + 4 i \pi\right)}{64 \log{\left(3 \right)}^{3}}$$
(-2*pi*i + log(243))*(2*pi*i + log(243))*(4*pi*i + log(243))/(64*log(3)^3)
Respuesta numérica
[src]
x1 = 0.8
x2 = 1.25
x3 = 1.25 + 2.85960086738013*i
x4 = 1.25 - 1.42980043369006*i
x5 = 1.25 + 1.42980043369006*i
x5 = 1.25 + 1.42980043369006*i