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- La ecuación:
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Ecuación x/3+x/4=-21
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Ecuación 3^x=4
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Ecuación 3*x^2=18*x
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Ecuación x^4-8*x^2+7=0
- Expresar {x} en función de y en la ecuación:
- 11*x-12*y=11
- 8*x-13*y=-12
- 19*x-2*y=-17
- -16*x-2*y=4
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Expresiones idénticas
- Sqrt(dos log_8(-x))=-log_8(sqrt(x^2))
- Sqrt(2 logaritmo de _8( menos x)) es igual a menos logaritmo de _8( raíz cuadrada de (x al cuadrado ))
- Sqrt(dos logaritmo de _8( menos x)) es igual a menos logaritmo de _8( raíz cuadrada de (x al cuadrado ))
- Sqrt(2log_8(-x))=-log_8(√(x^2))
- Sqrt(2log_8(-x))=-log_8(sqrt(x2))
- Sqrt2log_8-x=-log_8sqrtx2
- Sqrt(2log_8(-x))=-log_8(sqrt(x²))
- Sqrt(2log_8(-x))=-log_8(sqrt(x en el grado 2))
- Sqrt2log_8-x=-log_8sqrtx^2
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Expresiones semejantes
- Sqrt(2log_8(x))=-log_8(sqrt(x^2))
- Sqrt(2log_8(-x))=+log_8(sqrt(x^2))
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(x^4−10x|x|+0.5/0.02)=4
- sqrt(x^2+15)=x+1
- sqrt(x)/sin(pi*x)=0
- sqrt(3x^2-3x+1)=sqrt(2x^2-x+16)
- sqrt(2x^2-x-5)-1=-x
Sqrt(2log_8(-x))=-log_8(sqrt(x^2)) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ ____\
___________ | / 2 |
/ log(-x) -log\\/ x /
/ 2*------- = --------------
\/ log(8) log(8)
$$\sqrt{2 \frac{\log{\left(- x \right)}}{\log{\left(8 \right)}}} = - \frac{\log{\left(\sqrt{x^{2}} \right)}}{\log{\left(8 \right)}}$$
Respuesta rápida
[src]
x1 = -1
$$x_{1} = -1$$
// ___ _________________ ________ ___ ___________________ ________ \ // ___ _________________ ________ ___ ___________________ ________ \
|| -\/ 3 *\/ 2*pi*I + log(8) *\/ log(2) -\/ 3 *\/ 3*log(2) + 2*pi*I *\/ log(2) | || -\/ 3 *\/ 2*pi*I + log(8) *\/ log(2) -\/ 3 *\/ 3*log(2) + 2*pi*I *\/ log(2) |
x2 = I*im|<8*e for 8*e >= 0| + re|<8*e for 8*e >= 0|
|| | || |
\\ nan otherwise / \\ nan otherwise /
$$x_{2} = \operatorname{re}{\left(\begin{cases} 8 e^{- \sqrt{3} \sqrt{\log{\left(8 \right)} + 2 i \pi} \sqrt{\log{\left(2 \right)}}} & \text{for}\: 8 e^{- \sqrt{3} \sqrt{3 \log{\left(2 \right)} + 2 i \pi} \sqrt{\log{\left(2 \right)}}} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + i \operatorname{im}{\left(\begin{cases} 8 e^{- \sqrt{3} \sqrt{\log{\left(8 \right)} + 2 i \pi} \sqrt{\log{\left(2 \right)}}} & \text{for}\: 8 e^{- \sqrt{3} \sqrt{3 \log{\left(2 \right)} + 2 i \pi} \sqrt{\log{\left(2 \right)}}} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)}$$
x2 = re(Piecewise((8*exp(-sqrt(3)*sqrt(log(8) + 2*i*pi)*sqrt(log(2)), 8*exp(-sqrt(3)*sqrt(3*log(2) + 2*i*pi)*sqrt(log(2))) >= 0), (nan, True))) + i*im(Piecewise((8*exp(-sqrt(3)*sqrt(log(8) + 2*i*pi)*sqrt(log(2))), 8*exp(-sqrt(3)*sqrt(3*log(2) + 2*i*pi)*sqrt(log(2))) >= 0), (nan, True))))
Suma y producto de raíces
[src]
suma
// ___ _________________ ________ ___ ___________________ ________ \ // ___ _________________ ________ ___ ___________________ ________ \
|| -\/ 3 *\/ 2*pi*I + log(8) *\/ log(2) -\/ 3 *\/ 3*log(2) + 2*pi*I *\/ log(2) | || -\/ 3 *\/ 2*pi*I + log(8) *\/ log(2) -\/ 3 *\/ 3*log(2) + 2*pi*I *\/ log(2) |
-1 + I*im|<8*e for 8*e >= 0| + re|<8*e for 8*e >= 0|
|| | || |
\\ nan otherwise / \\ nan otherwise /
$$\left(\operatorname{re}{\left(\begin{cases} 8 e^{- \sqrt{3} \sqrt{\log{\left(8 \right)} + 2 i \pi} \sqrt{\log{\left(2 \right)}}} & \text{for}\: 8 e^{- \sqrt{3} \sqrt{3 \log{\left(2 \right)} + 2 i \pi} \sqrt{\log{\left(2 \right)}}} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + i \operatorname{im}{\left(\begin{cases} 8 e^{- \sqrt{3} \sqrt{\log{\left(8 \right)} + 2 i \pi} \sqrt{\log{\left(2 \right)}}} & \text{for}\: 8 e^{- \sqrt{3} \sqrt{3 \log{\left(2 \right)} + 2 i \pi} \sqrt{\log{\left(2 \right)}}} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)}\right) - 1$$
=
// ___ _________________ ________ ___ ___________________ ________ \ // ___ _________________ ________ ___ ___________________ ________ \
|| -\/ 3 *\/ 2*pi*I + log(8) *\/ log(2) -\/ 3 *\/ 3*log(2) + 2*pi*I *\/ log(2) | || -\/ 3 *\/ 2*pi*I + log(8) *\/ log(2) -\/ 3 *\/ 3*log(2) + 2*pi*I *\/ log(2) |
-1 + I*im|<8*e for 8*e >= 0| + re|<8*e for 8*e >= 0|
|| | || |
\\ nan otherwise / \\ nan otherwise /
$$\operatorname{re}{\left(\begin{cases} 8 e^{- \sqrt{3} \sqrt{\log{\left(8 \right)} + 2 i \pi} \sqrt{\log{\left(2 \right)}}} & \text{for}\: 8 e^{- \sqrt{3} \sqrt{3 \log{\left(2 \right)} + 2 i \pi} \sqrt{\log{\left(2 \right)}}} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + i \operatorname{im}{\left(\begin{cases} 8 e^{- \sqrt{3} \sqrt{\log{\left(8 \right)} + 2 i \pi} \sqrt{\log{\left(2 \right)}}} & \text{for}\: 8 e^{- \sqrt{3} \sqrt{3 \log{\left(2 \right)} + 2 i \pi} \sqrt{\log{\left(2 \right)}}} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} - 1$$
producto
/ // ___ _________________ ________ ___ ___________________ ________ \ // ___ _________________ ________ ___ ___________________ ________ \\ | || -\/ 3 *\/ 2*pi*I + log(8) *\/ log(2) -\/ 3 *\/ 3*log(2) + 2*pi*I *\/ log(2) | || -\/ 3 *\/ 2*pi*I + log(8) *\/ log(2) -\/ 3 *\/ 3*log(2) + 2*pi*I *\/ log(2) || -|I*im|<8*e for 8*e >= 0| + re|<8*e for 8*e >= 0|| | || | || || \ \\ nan otherwise / \\ nan otherwise //
$$- (\operatorname{re}{\left(\begin{cases} 8 e^{- \sqrt{3} \sqrt{\log{\left(8 \right)} + 2 i \pi} \sqrt{\log{\left(2 \right)}}} & \text{for}\: 8 e^{- \sqrt{3} \sqrt{3 \log{\left(2 \right)} + 2 i \pi} \sqrt{\log{\left(2 \right)}}} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)} + i \operatorname{im}{\left(\begin{cases} 8 e^{- \sqrt{3} \sqrt{\log{\left(8 \right)} + 2 i \pi} \sqrt{\log{\left(2 \right)}}} & \text{for}\: 8 e^{- \sqrt{3} \sqrt{3 \log{\left(2 \right)} + 2 i \pi} \sqrt{\log{\left(2 \right)}}} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}\right)})$$
=
/ / / 2*pi \ \ | | -I*atan|--------| | | | / / 2*pi \\ \3*log(2)/ | | | / / 2*pi \\ | I*atan|--------|| ------------------| | ___________________ | |atan|--------|| | \3*log(2)/| 2 | < ___ 4 / 2 2 ________ | | \3*log(2)/| \1 - e /*e | | \/ 3 *\/ 4*pi + 9*log (2) *\/ log(2) *|- cos|--------------| + -------------------------------------------| ___ _________________ ________ | \ \ 2 / 2 / -\/ 3 *\/ 2*pi*I + log(8) *\/ log(2) |-8*e for 8*e >= 0 | \ nan otherwise
$$\begin{cases} - 8 e^{\sqrt{3} \sqrt[4]{9 \log{\left(2 \right)}^{2} + 4 \pi^{2}} \left(- \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \pi}{3 \log{\left(2 \right)}} \right)}}{2} \right)} + \frac{\left(1 - e^{i \operatorname{atan}{\left(\frac{2 \pi}{3 \log{\left(2 \right)}} \right)}}\right) e^{- \frac{i \operatorname{atan}{\left(\frac{2 \pi}{3 \log{\left(2 \right)}} \right)}}{2}}}{2}\right) \sqrt{\log{\left(2 \right)}}} & \text{for}\: 8 e^{- \sqrt{3} \sqrt{\log{\left(8 \right)} + 2 i \pi} \sqrt{\log{\left(2 \right)}}} \geq 0 \\\text{NaN} & \text{otherwise} \end{cases}$$
Piecewise((-8*exp(sqrt(3)*(4*pi^2 + 9*log(2)^2)^(1/4)*sqrt(log(2))*(-cos(atan(2*pi/(3*log(2)))/2) + (1 - exp(i*atan(2*pi/(3*log(2)))))*exp(-i*atan(2*pi/(3*log(2)))/2)/2)), 8*exp(-sqrt(3)*sqrt(2*pi*i + log(8))*sqrt(log(2))) >= 0), (nan, True))