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Otras calculadoras
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- La ecuación:
-
Ecuación (7-x)^2=(x+16)^2
-
Ecuación x/9+x=-10/3
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Ecuación -9(8-9x)=4x+5
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Ecuación sin(x)=3/4
- Expresar {x} en función de y en la ecuación:
- 4*x+18*y=-7
- -6*x-2*y=-10
- 7*x+20*y=-17
- 10*x+9*y=-6
- Integral de d{x}:
- ln(sqrt(x^2+y^2))
-
Expresiones idénticas
- ln(sqrt(x^ dos +y^ dos))
- ln( raíz cuadrada de (x al cuadrado más y al cuadrado ))
- ln( raíz cuadrada de (x en el grado dos más y en el grado dos))
- ln(√(x^2+y^2))
- ln(sqrt(x2+y2))
- lnsqrtx2+y2
- ln(sqrt(x²+y²))
- ln(sqrt(x en el grado 2+y en el grado 2))
- lnsqrtx^2+y^2
-
Expresiones semejantes
- ln(sqrt(x^2-y^2))
-
Expresiones con funciones
- ln
- ln(x-5)=0
- ln(2+x)−tx=0
- ln(x)+1=exp(x-1)
- ln(3.69/0,0185)=ln(x)+n×7.05
- Ln(z)=3*pi*i
- Raíz cuadrada sqrt
- sqrt(x+3)=3
- sqrt(x-2)=5
- sqrt(x)
- sqrt(3)/2*cos(x)+1/2*sin(x)=1
- sqrt(n)^2=3*n-n
ln(sqrt(x^2+y^2)) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ _________\ | / 2 2 | log\\/ x + y / = 0
$$\log{\left(\sqrt{x^{2} + y^{2}} \right)} = 0$$
Gráfica
Suma y producto de raíces
[src]
suma
__________________________________________ __________________________________________ __________________________________________ __________________________________________
/ 2 / / 2 2 \\ / 2 / / 2 2 \\ / 2 / / 2 2 \\ / 2 / / 2 2 \\
4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), 1 + im (x) - re (x)/| 4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), 1 + im (x) - re (x)/| 4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), 1 + im (x) - re (x)/| 4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), 1 + im (x) - re (x)/|
- \/ \1 + im (x) - re (x)/ + 4*im (x)*re (x) *cos|------------------------------------------| - I*\/ \1 + im (x) - re (x)/ + 4*im (x)*re (x) *sin|------------------------------------------| + \/ \1 + im (x) - re (x)/ + 4*im (x)*re (x) *cos|------------------------------------------| + I*\/ \1 + im (x) - re (x)/ + 4*im (x)*re (x) *sin|------------------------------------------|
\ 2 / \ 2 / \ 2 / \ 2 /
$$\left(- i \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1 \right)}}{2} \right)} - \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1 \right)}}{2} \right)}\right) + \left(i \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1 \right)}}{2} \right)} + \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1 \right)}}{2} \right)}\right)$$
=
0
$$0$$
producto
/ __________________________________________ __________________________________________ \ / __________________________________________ __________________________________________ \ | / 2 / / 2 2 \\ / 2 / / 2 2 \\| | / 2 / / 2 2 \\ / 2 / / 2 2 \\| | 4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), 1 + im (x) - re (x)/| 4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), 1 + im (x) - re (x)/|| |4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), 1 + im (x) - re (x)/| 4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), 1 + im (x) - re (x)/|| |- \/ \1 + im (x) - re (x)/ + 4*im (x)*re (x) *cos|------------------------------------------| - I*\/ \1 + im (x) - re (x)/ + 4*im (x)*re (x) *sin|------------------------------------------||*|\/ \1 + im (x) - re (x)/ + 4*im (x)*re (x) *cos|------------------------------------------| + I*\/ \1 + im (x) - re (x)/ + 4*im (x)*re (x) *sin|------------------------------------------|| \ \ 2 / \ 2 // \ \ 2 / \ 2 //
$$\left(- i \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1 \right)}}{2} \right)} - \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1 \right)}}{2} \right)}\right) \left(i \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1 \right)}}{2} \right)} + \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1 \right)}}{2} \right)}\right)$$
=
__________________________________________
/ 2 / 2 2 \
/ / 2 2 \ 2 2 I*atan2\-2*im(x)*re(x), 1 + im (x) - re (x)/
-\/ \1 + im (x) - re (x)/ + 4*im (x)*re (x) *e
$$- \sqrt{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} e^{i \operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1 \right)}}$$
-sqrt((1 + im(x)^2 - re(x)^2)^2 + 4*im(x)^2*re(x)^2)*exp(i*atan2(-2*im(x)*re(x), 1 + im(x)^2 - re(x)^2))
Respuesta rápida
[src]
__________________________________________ __________________________________________
/ 2 / / 2 2 \\ / 2 / / 2 2 \\
4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), 1 + im (x) - re (x)/| 4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), 1 + im (x) - re (x)/|
y1 = - \/ \1 + im (x) - re (x)/ + 4*im (x)*re (x) *cos|------------------------------------------| - I*\/ \1 + im (x) - re (x)/ + 4*im (x)*re (x) *sin|------------------------------------------|
\ 2 / \ 2 /
$$y_{1} = - i \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1 \right)}}{2} \right)} - \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1 \right)}}{2} \right)}$$
__________________________________________ __________________________________________
/ 2 / / 2 2 \\ / 2 / / 2 2 \\
4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), 1 + im (x) - re (x)/| 4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), 1 + im (x) - re (x)/|
y2 = \/ \1 + im (x) - re (x)/ + 4*im (x)*re (x) *cos|------------------------------------------| + I*\/ \1 + im (x) - re (x)/ + 4*im (x)*re (x) *sin|------------------------------------------|
\ 2 / \ 2 /
$$y_{2} = i \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1 \right)}}{2} \right)} + \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} + 1 \right)}}{2} \right)}$$
y2 = i*((-re(x)^2 + im(x)^2 + 1)^2 + 4*re(x)^2*im(x)^2)^(1/4)*sin(atan2(-2*re(x)*im(x, -re(x)^2 + im(x)^2 + 1)/2) + ((-re(x)^2 + im(x)^2 + 1)^2 + 4*re(x)^2*im(x)^2)^(1/4)*cos(atan2(-2*re(x)*im(x), -re(x)^2 + im(x)^2 + 1)/2))