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- La ecuación:
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Ecuación 6*x^2+x-7=0
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Ecuación 2-5(3+2x)=17
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Ecuación (6*x+8)/2+5=5*x/3
-
Ecuación -2*(-2-y)-y-2=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
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Expresiones idénticas
- uno +sin(a^(x)+|logbc|)= cero
- 1 más seno de (a en el grado (x) más módulo de logaritmo de bc|) es igual a 0
- uno más seno de (a en el grado (x) más módulo de logaritmo de bc|) es igual a cero
- 1+sin(a(x)+|logbc|)=0
- 1+sinax+|logbc|=0
- 1+sina^x+|logbc|=0
- 1+sin(a^(x)+|logbc|)=O
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Expresiones semejantes
- 1+sin(a^(x)-|logbc|)=0
- 1-sin(a^(x)+|logbc|)=0
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Expresiones con funciones
- Seno sin
- sin(2x)=0.96
- sin(pi*x)=pi(x-1)
- sin^4(a)/cos^2(x)+cos^4(a)/sin^2(x)=1
- sin(x)=-6/8
- sin(pi*x)=cos(0.3*x)
- Módulo |
- ||x|-3|=3
- |2*x-1|=3
- |x-2|+|x-3|+|2x-8|=9
- ||x|-1|=3
- |(|x-1|)-2|=3x-4
1+sin(a^(x)+|logbc|)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ x \ 1 + sin\a + |log(b*c)|/ = 0
$$\sin{\left(a^{x} + \left|{\log{\left(b c \right)}}\right| \right)} + 1 = 0$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(a^{x} + \left|{\log{\left(b c \right)}}\right| \right)} + 1 = 0$$
cambiamos
$$\sin{\left(a^{x} + \left|{\log{\left(b c \right)}}\right| \right)} + 1 = 0$$
$$\sin{\left(a^{x} + \left|{\log{\left(b c \right)}}\right| \right)} + 1 = 0$$
Sustituimos
$$w = \sin{\left(a^{x} + \left|{\log{\left(b c \right)}}\right| \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = -1$$
Obtenemos la respuesta: w = -1
hacemos cambio inverso
$$\sin{\left(a^{x} + \left|{\log{\left(b c \right)}}\right| \right)} = w$$
sustituimos w:
$$\sin{\left(a^{x} + \left|{\log{\left(b c \right)}}\right| \right)} + 1 = 0$$
cambiamos
$$\sin{\left(a^{x} + \left|{\log{\left(b c \right)}}\right| \right)} + 1 = 0$$
$$\sin{\left(a^{x} + \left|{\log{\left(b c \right)}}\right| \right)} + 1 = 0$$
Sustituimos
$$w = \sin{\left(a^{x} + \left|{\log{\left(b c \right)}}\right| \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = -1$$
Obtenemos la respuesta: w = -1
hacemos cambio inverso
$$\sin{\left(a^{x} + \left|{\log{\left(b c \right)}}\right| \right)} = w$$
sustituimos w:
Gráfica
Respuesta rápida
[src]
/ / pi\\ / / pi\\
|log|-|log(b*c)| - --|| |log|-|log(b*c)| - --||
| \ 2 /| | \ 2 /|
x1 = I*im|---------------------| + re|---------------------|
\ log(a) / \ log(a) /
$$x_{1} = \operatorname{re}{\left(\frac{\log{\left(- \left|{\log{\left(b c \right)}}\right| - \frac{\pi}{2} \right)}}{\log{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{\log{\left(- \left|{\log{\left(b c \right)}}\right| - \frac{\pi}{2} \right)}}{\log{\left(a \right)}}\right)}$$
/ / 3*pi\\ / / 3*pi\\
|log|-|log(b*c)| + ----|| |log|-|log(b*c)| + ----||
| \ 2 /| | \ 2 /|
x2 = I*im|-----------------------| + re|-----------------------|
\ log(a) / \ log(a) /
$$x_{2} = \operatorname{re}{\left(\frac{\log{\left(- \left|{\log{\left(b c \right)}}\right| + \frac{3 \pi}{2} \right)}}{\log{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{\log{\left(- \left|{\log{\left(b c \right)}}\right| + \frac{3 \pi}{2} \right)}}{\log{\left(a \right)}}\right)}$$
x2 = re(log(-Abs(log(b*c)) + 3*pi/2)/log(a)) + i*im(log(-Abs(log(b*c)) + 3*pi/2)/log(a))
Suma y producto de raíces
[src]
suma
/ / pi\\ / / pi\\ / / 3*pi\\ / / 3*pi\\
|log|-|log(b*c)| - --|| |log|-|log(b*c)| - --|| |log|-|log(b*c)| + ----|| |log|-|log(b*c)| + ----||
| \ 2 /| | \ 2 /| | \ 2 /| | \ 2 /|
I*im|---------------------| + re|---------------------| + I*im|-----------------------| + re|-----------------------|
\ log(a) / \ log(a) / \ log(a) / \ log(a) /
$$\left(\operatorname{re}{\left(\frac{\log{\left(- \left|{\log{\left(b c \right)}}\right| - \frac{\pi}{2} \right)}}{\log{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{\log{\left(- \left|{\log{\left(b c \right)}}\right| - \frac{\pi}{2} \right)}}{\log{\left(a \right)}}\right)}\right) + \left(\operatorname{re}{\left(\frac{\log{\left(- \left|{\log{\left(b c \right)}}\right| + \frac{3 \pi}{2} \right)}}{\log{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{\log{\left(- \left|{\log{\left(b c \right)}}\right| + \frac{3 \pi}{2} \right)}}{\log{\left(a \right)}}\right)}\right)$$
=
/ / pi\\ / / 3*pi\\ / / pi\\ / / 3*pi\\
|log|-|log(b*c)| - --|| |log|-|log(b*c)| + ----|| |log|-|log(b*c)| - --|| |log|-|log(b*c)| + ----||
| \ 2 /| | \ 2 /| | \ 2 /| | \ 2 /|
I*im|---------------------| + I*im|-----------------------| + re|---------------------| + re|-----------------------|
\ log(a) / \ log(a) / \ log(a) / \ log(a) /
$$\operatorname{re}{\left(\frac{\log{\left(- \left|{\log{\left(b c \right)}}\right| - \frac{\pi}{2} \right)}}{\log{\left(a \right)}}\right)} + \operatorname{re}{\left(\frac{\log{\left(- \left|{\log{\left(b c \right)}}\right| + \frac{3 \pi}{2} \right)}}{\log{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{\log{\left(- \left|{\log{\left(b c \right)}}\right| - \frac{\pi}{2} \right)}}{\log{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{\log{\left(- \left|{\log{\left(b c \right)}}\right| + \frac{3 \pi}{2} \right)}}{\log{\left(a \right)}}\right)}$$
producto
/ / / pi\\ / / pi\\\ / / / 3*pi\\ / / 3*pi\\\ | |log|-|log(b*c)| - --|| |log|-|log(b*c)| - --||| | |log|-|log(b*c)| + ----|| |log|-|log(b*c)| + ----||| | | \ 2 /| | \ 2 /|| | | \ 2 /| | \ 2 /|| |I*im|---------------------| + re|---------------------||*|I*im|-----------------------| + re|-----------------------|| \ \ log(a) / \ log(a) // \ \ log(a) / \ log(a) //
$$\left(\operatorname{re}{\left(\frac{\log{\left(- \left|{\log{\left(b c \right)}}\right| - \frac{\pi}{2} \right)}}{\log{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{\log{\left(- \left|{\log{\left(b c \right)}}\right| - \frac{\pi}{2} \right)}}{\log{\left(a \right)}}\right)}\right) \left(\operatorname{re}{\left(\frac{\log{\left(- \left|{\log{\left(b c \right)}}\right| + \frac{3 \pi}{2} \right)}}{\log{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{\log{\left(- \left|{\log{\left(b c \right)}}\right| + \frac{3 \pi}{2} \right)}}{\log{\left(a \right)}}\right)}\right)$$
=
/ / / pi\\ / / pi\\\ / / / 3*pi\\ / / 3*pi\\\ | |log|-|log(b*c)| - --|| |log|-|log(b*c)| - --||| | |log|-|log(b*c)| + ----|| |log|-|log(b*c)| + ----||| | | \ 2 /| | \ 2 /|| | | \ 2 /| | \ 2 /|| |I*im|---------------------| + re|---------------------||*|I*im|-----------------------| + re|-----------------------|| \ \ log(a) / \ log(a) // \ \ log(a) / \ log(a) //
$$\left(\operatorname{re}{\left(\frac{\log{\left(- \left|{\log{\left(b c \right)}}\right| - \frac{\pi}{2} \right)}}{\log{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{\log{\left(- \left|{\log{\left(b c \right)}}\right| - \frac{\pi}{2} \right)}}{\log{\left(a \right)}}\right)}\right) \left(\operatorname{re}{\left(\frac{\log{\left(- \left|{\log{\left(b c \right)}}\right| + \frac{3 \pi}{2} \right)}}{\log{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{\log{\left(- \left|{\log{\left(b c \right)}}\right| + \frac{3 \pi}{2} \right)}}{\log{\left(a \right)}}\right)}\right)$$
(i*im(log(-Abs(log(b*c)) - pi/2)/log(a)) + re(log(-Abs(log(b*c)) - pi/2)/log(a)))*(i*im(log(-Abs(log(b*c)) + 3*pi/2)/log(a)) + re(log(-Abs(log(b*c)) + 3*pi/2)/log(a)))