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Otras calculadoras
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¿Cómo usar?
- La ecuación:
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Ecuación (x-3)*(x+2)=0
-
Ecuación z^2-6*z+10=0
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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
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Expresiones idénticas
- arctg(sqrt(x^ dos +y^ dos))
- arctg( raíz cuadrada de (x al cuadrado más y al cuadrado ))
- arctg( raíz cuadrada de (x en el grado dos más y en el grado dos))
- arctg(√(x^2+y^2))
- arctg(sqrt(x2+y2))
- arctgsqrtx2+y2
- arctg(sqrt(x²+y²))
- arctg(sqrt(x en el grado 2+y en el grado 2))
- arctgsqrtx^2+y^2
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Expresiones semejantes
- arctg(sqrt(x^2-y^2))
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Expresiones con funciones
- arctg
- arctg(xy)
- arctg((2a+1)/(a-2))=0.32175
- arctg(sqrtx)
- arctgh(x)-x-3x+2=0
- arctg(x)-3x+2=0
- Raíz cuadrada sqrt
- sqrt(x)=1
- sqrt(x-2)+sqrt(y-2)=2
- sqrt(x^2+9)=2*x-3
- sqrt(x)=-2
- sqrt(2-x)+sqrt(-x-1)=sqrt(-5*x-7)
arctg(sqrt(x^2+y^2)) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
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/ _________\
| / 2 2 |
atan\\/ x + y / = 0
$$\operatorname{atan}{\left(\sqrt{x^{2} + y^{2}} \right)} = 0$$
Gráfica
Respuesta rápida
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/ 2 / / 2 2 \\ / 2 / / 2 2 \\
4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), im (x) - re (x)/| 4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), im (x) - re (x)/|
y1 = - \/ \im (x) - re (x)/ + 4*im (x)*re (x) *cos|--------------------------------------| - I*\/ \im (x) - re (x)/ + 4*im (x)*re (x) *sin|--------------------------------------|
\ 2 / \ 2 /
$$y_{1} = - i \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} \right)}}{2} \right)} - \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} \right)}}{2} \right)}$$
______________________________________ ______________________________________
/ 2 / / 2 2 \\ / 2 / / 2 2 \\
4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), im (x) - re (x)/| 4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), im (x) - re (x)/|
y2 = \/ \im (x) - re (x)/ + 4*im (x)*re (x) *cos|--------------------------------------| + I*\/ \im (x) - re (x)/ + 4*im (x)*re (x) *sin|--------------------------------------|
\ 2 / \ 2 /
$$y_{2} = i \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} \right)}}{2} \right)} + \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} \right)}}{2} \right)}$$
y2 = i*((-re(x)^2 + im(x)^2)^2 + 4*re(x)^2*im(x)^2)^(1/4)*sin(atan2(-2*re(x)*im(x, -re(x)^2 + im(x)^2)/2) + ((-re(x)^2 + im(x)^2)^2 + 4*re(x)^2*im(x)^2)^(1/4)*cos(atan2(-2*re(x)*im(x), -re(x)^2 + im(x)^2)/2))
Suma y producto de raíces
[src]
suma
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/ 2 / / 2 2 \\ / 2 / / 2 2 \\ / 2 / / 2 2 \\ / 2 / / 2 2 \\
4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), im (x) - re (x)/| 4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), im (x) - re (x)/| 4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), im (x) - re (x)/| 4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), im (x) - re (x)/|
- \/ \im (x) - re (x)/ + 4*im (x)*re (x) *cos|--------------------------------------| - I*\/ \im (x) - re (x)/ + 4*im (x)*re (x) *sin|--------------------------------------| + \/ \im (x) - re (x)/ + 4*im (x)*re (x) *cos|--------------------------------------| + I*\/ \im (x) - re (x)/ + 4*im (x)*re (x) *sin|--------------------------------------|
\ 2 / \ 2 / \ 2 / \ 2 /
$$\left(- i \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} \right)}}{2} \right)} - \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} \right)}}{2} \right)}\right) + \left(i \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} \right)}}{2} \right)} + \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} \right)}}{2} \right)}\right)$$
=
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), im (x) - re (x)/| 4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), im (x) - re (x)/|| |4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), im (x) - re (x)/| 4 / / 2 2 \ 2 2 |atan2\-2*im(x)*re(x), im (x) - re (x)/|| |- \/ \im (x) - re (x)/ + 4*im (x)*re (x) *cos|--------------------------------------| - I*\/ \im (x) - re (x)/ + 4*im (x)*re (x) *sin|--------------------------------------||*|\/ \im (x) - re (x)/ + 4*im (x)*re (x) *cos|--------------------------------------| + I*\/ \im (x) - re (x)/ + 4*im (x)*re (x) *sin|--------------------------------------|| \ \ 2 / \ 2 // \ \ 2 / \ 2 //
$$\left(- i \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} \right)}}{2} \right)} - \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} \right)}}{2} \right)}\right) \left(i \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} \right)}}{2} \right)} + \sqrt[4]{\left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} \right)}}{2} \right)}\right)$$
=
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/ 2 / 2 2 \
/ / 2 2 \ 2 2 I*atan2\-2*im(x)*re(x), im (x) - re (x)/
-\/ \re (x) - im (x)/ + 4*im (x)*re (x) *e
$$- \sqrt{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} e^{i \operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},- \left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2} \right)}}$$
-sqrt((re(x)^2 - im(x)^2)^2 + 4*im(x)^2*re(x)^2)*exp(i*atan2(-2*im(x)*re(x), im(x)^2 - re(x)^2))