Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación 8*x-3*(2*x+1)=2*x+4
-
Ecuación x^3=27
-
Ecuación 1+sin(x)=0
-
Ecuación 2*x^2+6*x+9=
- Expresar {x} en función de y en la ecuación:
- 20*x+6*y=8
- 7*x-19*y=-8
- -11*x+10*y=-9
- 6*x-2*y=20
-
Expresiones idénticas
- - uno /(4e^(dos (x)^ dos))=((lny)^ tres)/ tres
- menos 1 dividir por (4e en el grado (2(x) al cuadrado )) es igual a ((lny) al cubo ) dividir por 3
- menos uno dividir por (4e en el grado (dos (x) en el grado dos)) es igual a ((lny) en el grado tres) dividir por tres
- -1/(4e(2(x)2))=((lny)3)/3
- -1/4e2x2=lny3/3
- -1/(4e^(2(x)²))=((lny)³)/3
- -1/(4e en el grado (2(x) en el grado 2))=((lny) en el grado 3)/3
- -1/4e^2x^2=lny^3/3
- -1 dividir por (4e^(2(x)^2))=((lny)^3) dividir por 3
-
Expresiones semejantes
- 1/(4e^(2(x)^2))=((lny)^3)/3
-
Expresiones con funciones
- lny
- lny=t
- lny+y+c=0
- lny=ax+by
- lny=-2ln(x^2+1)+const
- lny=(-1/x)+lnc
-1/(4e^(2(x)^2))=((lny)^3)/3 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3
-1 log (y)
------- = -------
2 3
2*x
4*E
$$- \frac{1}{4 e^{2 x^{2}}} = \frac{\log{\left(y \right)}^{3}}{3}$$
Gráfica
Suma y producto de raíces
[src]
suma
/ / / | _________|\\\ / / / | _________|\\\ / / / | _________|\\\ / / / | _________|\\\ / / / | _________|\\\ / / / | _________|\\\ / / / | _________|\\\ / / / | _________|\\\
| | | ___ | / -1 |||| | | | ___ | / -1 |||| | | | ___ | / -1 |||| | | | ___ | / -1 |||| | | | ___ | / -1 |||| | | | ___ | / -1 |||| | | | ___ | / -1 |||| | | | ___ | / -1 ||||
______________________________________________________ | | |\/ 3 *| / ------- |||| ______________________________________________________ | | |\/ 3 *| / ------- |||| ______________________________________________________ | | |\/ 3 *| / ------- |||| ______________________________________________________ | | |\/ 3 *| / ------- |||| _____________________________________________________ | | |\/ 3 *| / ------- |||| _____________________________________________________ | | |\/ 3 *| / ------- |||| _____________________________________________________ | | |\/ 3 *| / ------- |||| _____________________________________________________ | | |\/ 3 *| / ------- ||||
/ / | _________|\ | | / _________\ | | / 3 |||| / / | _________|\ | | / _________\ | | / 3 |||| / / | _________|\ | | / _________\ | | / 3 |||| / / | _________|\ | | / _________\ | | / 3 |||| / / | _________|\ | | / _________\ | | / 3 |||| / / | _________|\ | | / _________\ | | / 3 |||| / / | _________|\ | | / _________\ | | / 3 |||| / / | _________|\ | | / _________\ | | / 3 ||||
/ | ___ | / -1 || | | | / -1 | | |\/ log (y) |||| / | ___ | / -1 || | | | / -1 | | |\/ log (y) |||| / | ___ | / -1 || | | | / -1 | | |\/ log (y) |||| / | ___ | / -1 || | | | / -1 | | |\/ log (y) |||| / | ___ | / -1 || | | | / -1 | | |\/ log (y) |||| / | ___ | / -1 || | | | / -1 | | |\/ log (y) |||| / | ___ | / -1 || | | | / -1 | | |\/ log (y) |||| / | ___ | / -1 || | | | / -1 | | |\/ log (y) ||||
/ |\/ 3 *| / ------- || |atan2|arg|- / ------- |, log|----------------------||| / |\/ 3 *| / ------- || |atan2|arg|- / ------- |, log|----------------------||| / |\/ 3 *| / ------- || |atan2|arg|- / ------- |, log|----------------------||| / |\/ 3 *| / ------- || |atan2|arg|- / ------- |, log|----------------------||| / |\/ 3 *| / ------- || |atan2|arg| / ------- |, log|----------------------||| / |\/ 3 *| / ------- || |atan2|arg| / ------- |, log|----------------------||| / |\/ 3 *| / ------- || |atan2|arg| / ------- |, log|----------------------||| / |\/ 3 *| / ------- || |atan2|arg| / ------- |, log|----------------------|||
/ / _________\ | | / 3 || | | | / 3 | \ 2 /|| / / _________\ | | / 3 || | | | / 3 | \ 2 /|| / / _________\ | | / 3 || | | | / 3 | \ 2 /|| / / _________\ | | / 3 || | | | / 3 | \ 2 /|| / / _________\ | | / 3 || | | | / 3 | \ 2 /|| / / _________\ | | / 3 || | | | / 3 | \ 2 /|| / / _________\ | | / 3 || | | | / 3 | \ 2 /|| / / _________\ | | / 3 || | | | / 3 | \ 2 /||
/ 2| / -1 | 2| |\/ log (y) || | \ \ \/ log (y) / /| / 2| / -1 | 2| |\/ log (y) || | \ \ \/ log (y) / /| / 2| / -1 | 2| |\/ log (y) || | \ \ \/ log (y) / /| / 2| / -1 | 2| |\/ log (y) || | \ \ \/ log (y) / /| / 2| / -1 | 2| |\/ log (y) || | \ \\/ log (y) / /| / 2| / -1 | 2| |\/ log (y) || | \ \\/ log (y) / /| / 2| / -1 | 2| |\/ log (y) || | \ \\/ log (y) / /| / 2| / -1 | 2| |\/ log (y) || | \ \\/ log (y) / /|
- / arg |- / ------- | + log |----------------------| *cos|--------------------------------------------------------| - I* / arg |- / ------- | + log |----------------------| *sin|--------------------------------------------------------| + / arg |- / ------- | + log |----------------------| *cos|--------------------------------------------------------| + I* / arg |- / ------- | + log |----------------------| *sin|--------------------------------------------------------| + - / arg | / ------- | + log |----------------------| *cos|-------------------------------------------------------| - I* / arg | / ------- | + log |----------------------| *sin|-------------------------------------------------------| + / arg | / ------- | + log |----------------------| *cos|-------------------------------------------------------| + I* / arg | / ------- | + log |----------------------| *sin|-------------------------------------------------------|
4 / | / 3 | \ 2 / \ 2 / 4 / | / 3 | \ 2 / \ 2 / 4 / | / 3 | \ 2 / \ 2 / 4 / | / 3 | \ 2 / \ 2 / 4 / | / 3 | \ 2 / \ 2 / 4 / | / 3 | \ 2 / \ 2 / 4 / | / 3 | \ 2 / \ 2 / 4 / | / 3 | \ 2 / \ 2 /
\/ \ \/ log (y) / \/ \ \/ log (y) / \/ \ \/ log (y) / \/ \ \/ log (y) / \/ \\/ log (y) / \/ \\/ log (y) / \/ \\/ log (y) / \/ \\/ log (y) /
$$\left(i \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)} + \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)}\right) + \left(\left(- i \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)} - \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)}\right) + \left(\left(- i \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)} - \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)}\right) + \left(i \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)} + \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)}\right)\right)\right)$$
=
0
$$0$$
producto
/ / / / | _________|\\\ / / / | _________|\\\\ / / / / | _________|\\\ / / / | _________|\\\\ / / / / | _________|\\\ / / / | _________|\\\\ / / / / | _________|\\\ / / / | _________|\\\\ | | | | ___ | / -1 |||| | | | ___ | / -1 ||||| | | | | ___ | / -1 |||| | | | ___ | / -1 ||||| | | | | ___ | / -1 |||| | | | ___ | / -1 ||||| | | | | ___ | / -1 |||| | | | ___ | / -1 ||||| | ______________________________________________________ | | |\/ 3 *| / ------- |||| ______________________________________________________ | | |\/ 3 *| / ------- ||||| | ______________________________________________________ | | |\/ 3 *| / ------- |||| ______________________________________________________ | | |\/ 3 *| / ------- ||||| | _____________________________________________________ | | |\/ 3 *| / ------- |||| _____________________________________________________ | | |\/ 3 *| / ------- ||||| | _____________________________________________________ | | |\/ 3 *| / ------- |||| _____________________________________________________ | | |\/ 3 *| / ------- ||||| | / / | _________|\ | | / _________\ | | / 3 |||| / / | _________|\ | | / _________\ | | / 3 ||||| | / / | _________|\ | | / _________\ | | / 3 |||| / / | _________|\ | | / _________\ | | / 3 ||||| | / / | _________|\ | | / _________\ | | / 3 |||| / / | _________|\ | | / _________\ | | / 3 ||||| | / / | _________|\ | | / _________\ | | / 3 |||| / / | _________|\ | | / _________\ | | / 3 ||||| | / | ___ | / -1 || | | | / -1 | | |\/ log (y) |||| / | ___ | / -1 || | | | / -1 | | |\/ log (y) ||||| | / | ___ | / -1 || | | | / -1 | | |\/ log (y) |||| / | ___ | / -1 || | | | / -1 | | |\/ log (y) ||||| | / | ___ | / -1 || | | | / -1 | | |\/ log (y) |||| / | ___ | / -1 || | | | / -1 | | |\/ log (y) ||||| | / | ___ | / -1 || | | | / -1 | | |\/ log (y) |||| / | ___ | / -1 || | | | / -1 | | |\/ log (y) ||||| | / |\/ 3 *| / ------- || |atan2|arg|- / ------- |, log|----------------------||| / |\/ 3 *| / ------- || |atan2|arg|- / ------- |, log|----------------------|||| | / |\/ 3 *| / ------- || |atan2|arg|- / ------- |, log|----------------------||| / |\/ 3 *| / ------- || |atan2|arg|- / ------- |, log|----------------------|||| | / |\/ 3 *| / ------- || |atan2|arg| / ------- |, log|----------------------||| / |\/ 3 *| / ------- || |atan2|arg| / ------- |, log|----------------------|||| | / |\/ 3 *| / ------- || |atan2|arg| / ------- |, log|----------------------||| / |\/ 3 *| / ------- || |atan2|arg| / ------- |, log|----------------------|||| | / / _________\ | | / 3 || | | | / 3 | \ 2 /|| / / _________\ | | / 3 || | | | / 3 | \ 2 /||| | / / _________\ | | / 3 || | | | / 3 | \ 2 /|| / / _________\ | | / 3 || | | | / 3 | \ 2 /||| | / / _________\ | | / 3 || | | | / 3 | \ 2 /|| / / _________\ | | / 3 || | | | / 3 | \ 2 /||| | / / _________\ | | / 3 || | | | / 3 | \ 2 /|| / / _________\ | | / 3 || | | | / 3 | \ 2 /||| | / 2| / -1 | 2| |\/ log (y) || | \ \ \/ log (y) / /| / 2| / -1 | 2| |\/ log (y) || | \ \ \/ log (y) / /|| | / 2| / -1 | 2| |\/ log (y) || | \ \ \/ log (y) / /| / 2| / -1 | 2| |\/ log (y) || | \ \ \/ log (y) / /|| | / 2| / -1 | 2| |\/ log (y) || | \ \\/ log (y) / /| / 2| / -1 | 2| |\/ log (y) || | \ \\/ log (y) / /|| | / 2| / -1 | 2| |\/ log (y) || | \ \\/ log (y) / /| / 2| / -1 | 2| |\/ log (y) || | \ \\/ log (y) / /|| |- / arg |- / ------- | + log |----------------------| *cos|--------------------------------------------------------| - I* / arg |- / ------- | + log |----------------------| *sin|--------------------------------------------------------||*| / arg |- / ------- | + log |----------------------| *cos|--------------------------------------------------------| + I* / arg |- / ------- | + log |----------------------| *sin|--------------------------------------------------------||*|- / arg | / ------- | + log |----------------------| *cos|-------------------------------------------------------| - I* / arg | / ------- | + log |----------------------| *sin|-------------------------------------------------------||*| / arg | / ------- | + log |----------------------| *cos|-------------------------------------------------------| + I* / arg | / ------- | + log |----------------------| *sin|-------------------------------------------------------|| | 4 / | / 3 | \ 2 / \ 2 / 4 / | / 3 | \ 2 / \ 2 /| |4 / | / 3 | \ 2 / \ 2 / 4 / | / 3 | \ 2 / \ 2 /| | 4 / | / 3 | \ 2 / \ 2 / 4 / | / 3 | \ 2 / \ 2 /| |4 / | / 3 | \ 2 / \ 2 / 4 / | / 3 | \ 2 / \ 2 /| \ \/ \ \/ log (y) / \/ \ \/ log (y) / / \\/ \ \/ log (y) / \/ \ \/ log (y) / / \ \/ \\/ log (y) / \/ \\/ log (y) / / \\/ \\/ log (y) / \/ \\/ log (y) / /
$$\left(- i \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)} - \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)}\right) \left(i \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)} + \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)}\right) \left(- i \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)} - \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)}\right) \left(i \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)} + \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)}\right)$$
=
_____________________________________________________ ______________________________________________________ / / _________\ / ___ \\ / / _________\ / ___ \\
/ / | _________|\ / / | _________|\ | | / -1 | | \/ 3 || | | / -1 | | \/ 3 ||
/ | ___ | / -1 || / | ___ | / -1 || I*atan2|arg| / ------- |, log|----------------|| + I*atan2|arg|- / ------- |, log|----------------||
/ |\/ 3 *| / ------- || / |\/ 3 *| / ------- || | | / 3 | | ___________|| | | / 3 | | ___________||
/ / _________\ | | / 3 || / / _________\ | | / 3 || | \\/ log (y) / | / | 3 | || | \ \/ log (y) / | / | 3 | ||
/ 2| / -1 | 2| |\/ log (y) || / 2| / -1 | 2| |\/ log (y) || \ \2*\/ |log (y)| // \ \2*\/ |log (y)| //
/ arg | / ------- | + log |----------------------| * / arg |- / ------- | + log |----------------------| *e
/ | / 3 | \ 2 / / | / 3 | \ 2 /
\/ \\/ log (y) / \/ \ \/ log (y) /
$$\sqrt{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \sqrt{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} e^{i \operatorname{atan_{2}}{\left(\arg{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3}}{2 \sqrt{\left|{\log{\left(y \right)}^{3}}\right|}} \right)} \right)} + i \operatorname{atan_{2}}{\left(\arg{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3}}{2 \sqrt{\left|{\log{\left(y \right)}^{3}}\right|}} \right)} \right)}}$$
sqrt(arg(sqrt(-1/log(y)^3))^2 + log(sqrt(3)*Abs(sqrt(-1/log(y)^3))/2)^2)*sqrt(arg(-sqrt(-1/log(y)^3))^2 + log(sqrt(3)*Abs(sqrt(-1/log(y)^3))/2)^2)*exp(i*atan2(arg(sqrt(-1/log(y)^3)), log(sqrt(3)/(2*sqrt(Abs(log(y)^3))))) + i*atan2(arg(-sqrt(-1/log(y)^3)), log(sqrt(3)/(2*sqrt(Abs(log(y)^3))))))
Respuesta rápida
[src]
/ / / | _________|\\\ / / / | _________|\\\
| | | ___ | / -1 |||| | | | ___ | / -1 ||||
______________________________________________________ | | |\/ 3 *| / ------- |||| ______________________________________________________ | | |\/ 3 *| / ------- ||||
/ / | _________|\ | | / _________\ | | / 3 |||| / / | _________|\ | | / _________\ | | / 3 ||||
/ | ___ | / -1 || | | | / -1 | | |\/ log (y) |||| / | ___ | / -1 || | | | / -1 | | |\/ log (y) ||||
/ |\/ 3 *| / ------- || |atan2|arg|- / ------- |, log|----------------------||| / |\/ 3 *| / ------- || |atan2|arg|- / ------- |, log|----------------------|||
/ / _________\ | | / 3 || | | | / 3 | \ 2 /|| / / _________\ | | / 3 || | | | / 3 | \ 2 /||
/ 2| / -1 | 2| |\/ log (y) || | \ \ \/ log (y) / /| / 2| / -1 | 2| |\/ log (y) || | \ \ \/ log (y) / /|
x1 = - / arg |- / ------- | + log |----------------------| *cos|--------------------------------------------------------| - I* / arg |- / ------- | + log |----------------------| *sin|--------------------------------------------------------|
4 / | / 3 | \ 2 / \ 2 / 4 / | / 3 | \ 2 / \ 2 /
\/ \ \/ log (y) / \/ \ \/ log (y) /
$$x_{1} = - i \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)} - \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)}$$
/ / / | _________|\\\ / / / | _________|\\\
| | | ___ | / -1 |||| | | | ___ | / -1 ||||
______________________________________________________ | | |\/ 3 *| / ------- |||| ______________________________________________________ | | |\/ 3 *| / ------- ||||
/ / | _________|\ | | / _________\ | | / 3 |||| / / | _________|\ | | / _________\ | | / 3 ||||
/ | ___ | / -1 || | | | / -1 | | |\/ log (y) |||| / | ___ | / -1 || | | | / -1 | | |\/ log (y) ||||
/ |\/ 3 *| / ------- || |atan2|arg|- / ------- |, log|----------------------||| / |\/ 3 *| / ------- || |atan2|arg|- / ------- |, log|----------------------|||
/ / _________\ | | / 3 || | | | / 3 | \ 2 /|| / / _________\ | | / 3 || | | | / 3 | \ 2 /||
/ 2| / -1 | 2| |\/ log (y) || | \ \ \/ log (y) / /| / 2| / -1 | 2| |\/ log (y) || | \ \ \/ log (y) / /|
x2 = / arg |- / ------- | + log |----------------------| *cos|--------------------------------------------------------| + I* / arg |- / ------- | + log |----------------------| *sin|--------------------------------------------------------|
4 / | / 3 | \ 2 / \ 2 / 4 / | / 3 | \ 2 / \ 2 /
\/ \ \/ log (y) / \/ \ \/ log (y) /
$$x_{2} = i \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)} + \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(- \sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)}$$
/ / / | _________|\\\ / / / | _________|\\\
| | | ___ | / -1 |||| | | | ___ | / -1 ||||
_____________________________________________________ | | |\/ 3 *| / ------- |||| _____________________________________________________ | | |\/ 3 *| / ------- ||||
/ / | _________|\ | | / _________\ | | / 3 |||| / / | _________|\ | | / _________\ | | / 3 ||||
/ | ___ | / -1 || | | | / -1 | | |\/ log (y) |||| / | ___ | / -1 || | | | / -1 | | |\/ log (y) ||||
/ |\/ 3 *| / ------- || |atan2|arg| / ------- |, log|----------------------||| / |\/ 3 *| / ------- || |atan2|arg| / ------- |, log|----------------------|||
/ / _________\ | | / 3 || | | | / 3 | \ 2 /|| / / _________\ | | / 3 || | | | / 3 | \ 2 /||
/ 2| / -1 | 2| |\/ log (y) || | \ \\/ log (y) / /| / 2| / -1 | 2| |\/ log (y) || | \ \\/ log (y) / /|
x3 = - / arg | / ------- | + log |----------------------| *cos|-------------------------------------------------------| - I* / arg | / ------- | + log |----------------------| *sin|-------------------------------------------------------|
4 / | / 3 | \ 2 / \ 2 / 4 / | / 3 | \ 2 / \ 2 /
\/ \\/ log (y) / \/ \\/ log (y) /
$$x_{3} = - i \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)} - \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)}$$
/ / / | _________|\\\ / / / | _________|\\\
| | | ___ | / -1 |||| | | | ___ | / -1 ||||
_____________________________________________________ | | |\/ 3 *| / ------- |||| _____________________________________________________ | | |\/ 3 *| / ------- ||||
/ / | _________|\ | | / _________\ | | / 3 |||| / / | _________|\ | | / _________\ | | / 3 ||||
/ | ___ | / -1 || | | | / -1 | | |\/ log (y) |||| / | ___ | / -1 || | | | / -1 | | |\/ log (y) ||||
/ |\/ 3 *| / ------- || |atan2|arg| / ------- |, log|----------------------||| / |\/ 3 *| / ------- || |atan2|arg| / ------- |, log|----------------------|||
/ / _________\ | | / 3 || | | | / 3 | \ 2 /|| / / _________\ | | / 3 || | | | / 3 | \ 2 /||
/ 2| / -1 | 2| |\/ log (y) || | \ \\/ log (y) / /| / 2| / -1 | 2| |\/ log (y) || | \ \\/ log (y) / /|
x4 = / arg | / ------- | + log |----------------------| *cos|-------------------------------------------------------| + I* / arg | / ------- | + log |----------------------| *sin|-------------------------------------------------------|
4 / | / 3 | \ 2 / \ 2 / 4 / | / 3 | \ 2 / \ 2 /
\/ \\/ log (y) / \/ \\/ log (y) /
$$x_{4} = i \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)} + \sqrt[4]{\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)}^{2} + \arg^{2}{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\arg{\left(\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}} \right)},\log{\left(\frac{\sqrt{3} \left|{\sqrt{- \frac{1}{\log{\left(y \right)}^{3}}}}\right|}{2} \right)} \right)}}{2} \right)}$$
x4 = i*(log(sqrt(3)*Abs(sqrt(-1/log(y)^3))/2)^2 + arg(sqrt(-1/log(y)^3))^2)^(1/4)*sin(atan2(arg(sqrt(-1/log(y)^3), log(sqrt(3)*Abs(sqrt(-1/log(y)^3))/2))/2) + (log(sqrt(3)*Abs(sqrt(-1/log(y)^3))/2)^2 + arg(sqrt(-1/log(y)^3))^2)^(1/4)*cos(atan2(arg(sqrt(-1/log(y)^3)), log(sqrt(3)*Abs(sqrt(-1/log(y)^3))/2))/2))