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- La ecuación:
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Ecuación (x-3)*(x+2)=0
-
Ecuación z^2-6*z+10=0
-
Ecuación 4/(x-4)=-5
-
Ecuación (x-6)^2=-24*x
- Expresar {x} en función de y en la ecuación:
- -7*x-13*y=5
- 15*x+1*y=19
- 7*x-1*y=-7
- -14*x-12*y=5
-
Expresiones idénticas
- log(cinco)*x^ dos *log(x)* cinco + tres = cero
- logaritmo de (5) multiplicar por x al cuadrado multiplicar por logaritmo de (x) multiplicar por 5 más 3 es igual a 0
- logaritmo de (cinco) multiplicar por x en el grado dos multiplicar por logaritmo de (x) multiplicar por cinco más tres es igual a cero
- log(5)*x2*log(x)*5+3=0
- log5*x2*logx*5+3=0
- log(5)*x²*log(x)*5+3=0
- log(5)*x en el grado 2*log(x)*5+3=0
- log(5)x^2log(x)5+3=0
- log(5)x2log(x)5+3=0
- log5x2logx5+3=0
- log5x^2logx5+3=0
- log(5)*x^2*log(x)*5+3=O
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Expresiones semejantes
- log(5)*x^2*log(x)*5-3=0
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Expresiones con funciones
- Logaritmo log
- log2sin2pi/15
- log(2*y+1)/2=c-log(cos(x))
- log(5*x)=2
- log(y-1)/2-log(y+1)/2=Const-x
- log(2)^2*(x)+3*(Abs((log(x)/log(2))))+2=0
- Logaritmo log
- log2sin2pi/15
- log(2*y+1)/2=c-log(cos(x))
- log(5*x)=2
- log(y-1)/2-log(y+1)/2=Const-x
- log(2)^2*(x)+3*(Abs((log(x)/log(2))))+2=0
log(5)*x^2*log(x)*5+3=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 log(5)*x *log(x)*5 + 3 = 0
$$5 x^{2} \log{\left(5 \right)} \log{\left(x \right)} + 3 = 0$$
Suma y producto de raíces
[src]
suma
/ / -6 \\ / / -6 \\
re|W|--------|| re|W|--------||
/ / / -6 \\\ \ \5*log(5)// \ \5*log(5)// / / / -6 \\\
|im|W|--------||| --------------- --------------- |im|W|--------|||
| \ \5*log(5)//| 2 2 | \ \5*log(5)//|
cos|---------------|*e + I*e *sin|---------------|
\ 2 / \ 2 /
$$\frac{\cos{\left(\frac{\operatorname{im}{\left(W\left(- \frac{6}{5 \log{\left(5 \right)}}\right)\right)}}{2} \right)}}{e^{- \frac{\operatorname{re}{\left(W\left(- \frac{6}{5 \log{\left(5 \right)}}\right)\right)}}{2}}} + \frac{i \sin{\left(\frac{\operatorname{im}{\left(W\left(- \frac{6}{5 \log{\left(5 \right)}}\right)\right)}}{2} \right)}}{e^{- \frac{\operatorname{re}{\left(W\left(- \frac{6}{5 \log{\left(5 \right)}}\right)\right)}}{2}}}$$
=
/ / -6 \\ / / -6 \\
re|W|--------|| re|W|--------||
/ / / -6 \\\ \ \5*log(5)// \ \5*log(5)// / / / -6 \\\
|im|W|--------||| --------------- --------------- |im|W|--------|||
| \ \5*log(5)//| 2 2 | \ \5*log(5)//|
cos|---------------|*e + I*e *sin|---------------|
\ 2 / \ 2 /
$$\frac{\cos{\left(\frac{\operatorname{im}{\left(W\left(- \frac{6}{5 \log{\left(5 \right)}}\right)\right)}}{2} \right)}}{e^{- \frac{\operatorname{re}{\left(W\left(- \frac{6}{5 \log{\left(5 \right)}}\right)\right)}}{2}}} + \frac{i \sin{\left(\frac{\operatorname{im}{\left(W\left(- \frac{6}{5 \log{\left(5 \right)}}\right)\right)}}{2} \right)}}{e^{- \frac{\operatorname{re}{\left(W\left(- \frac{6}{5 \log{\left(5 \right)}}\right)\right)}}{2}}}$$
producto
/ / -6 \\ / / -6 \\
re|W|--------|| re|W|--------||
/ / / -6 \\\ \ \5*log(5)// \ \5*log(5)// / / / -6 \\\
|im|W|--------||| --------------- --------------- |im|W|--------|||
| \ \5*log(5)//| 2 2 | \ \5*log(5)//|
cos|---------------|*e + I*e *sin|---------------|
\ 2 / \ 2 /
$$\frac{\cos{\left(\frac{\operatorname{im}{\left(W\left(- \frac{6}{5 \log{\left(5 \right)}}\right)\right)}}{2} \right)}}{e^{- \frac{\operatorname{re}{\left(W\left(- \frac{6}{5 \log{\left(5 \right)}}\right)\right)}}{2}}} + \frac{i \sin{\left(\frac{\operatorname{im}{\left(W\left(- \frac{6}{5 \log{\left(5 \right)}}\right)\right)}}{2} \right)}}{e^{- \frac{\operatorname{re}{\left(W\left(- \frac{6}{5 \log{\left(5 \right)}}\right)\right)}}{2}}}$$
=
/ / -6 \\ / / -6 \\
re|W|--------|| I*im|W|--------||
\ \5*log(5)// \ \5*log(5)//
--------------- + -----------------
2 2
e
$$e^{\frac{\operatorname{re}{\left(W\left(- \frac{6}{5 \log{\left(5 \right)}}\right)\right)}}{2} + \frac{i \operatorname{im}{\left(W\left(- \frac{6}{5 \log{\left(5 \right)}}\right)\right)}}{2}}$$
exp(re(LambertW(-6/(5*log(5))))/2 + i*im(LambertW(-6/(5*log(5))))/2)
Respuesta rápida
[src]
/ / -6 \\ / / -6 \\
re|W|--------|| re|W|--------||
/ / / -6 \\\ \ \5*log(5)// \ \5*log(5)// / / / -6 \\\
|im|W|--------||| --------------- --------------- |im|W|--------|||
| \ \5*log(5)//| 2 2 | \ \5*log(5)//|
x1 = cos|---------------|*e + I*e *sin|---------------|
\ 2 / \ 2 /
$$x_{1} = \frac{\cos{\left(\frac{\operatorname{im}{\left(W\left(- \frac{6}{5 \log{\left(5 \right)}}\right)\right)}}{2} \right)}}{e^{- \frac{\operatorname{re}{\left(W\left(- \frac{6}{5 \log{\left(5 \right)}}\right)\right)}}{2}}} + \frac{i \sin{\left(\frac{\operatorname{im}{\left(W\left(- \frac{6}{5 \log{\left(5 \right)}}\right)\right)}}{2} \right)}}{e^{- \frac{\operatorname{re}{\left(W\left(- \frac{6}{5 \log{\left(5 \right)}}\right)\right)}}{2}}}$$
x1 = exp(re(LambertW(-6/(5*log(5))))/2)*cos(im(LambertW(-6/(5*log(5))))/2) + i*exp(re(LambertW(-6/(5*log(5))))/2)*sin(im(LambertW(-6/(5*log(5))))/2)
Respuesta numérica
[src]
x1 = 0.648114668479384 + 0.416622973917153*i
x2 = 0.648114668479384 - 0.416622973917153*i
x3 = 0.648114668479388 - 0.416622973917148*i
x4 = 0.648114668479384 + 0.416622973917154*i
x4 = 0.648114668479384 + 0.416622973917154*i