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Otras calculadoras
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- La ecuación:
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Ecuación x+(x/4)=-5
- Ecuación z^4-81=0
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Ecuación z^3=8
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Ecuación x^3+x^2-2=0
- Expresar {x} en función de y en la ecuación:
- -18*x-8*y=-18
- -13*x+12*y=-19
- -1*x+11*y=-9
- 16*x-11*y=13
- Gráfico de la función y =:
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sqrt(4-y^2)
- Integral de d{x}:
- sqrt(4-y^2)
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Expresiones idénticas
- sqrt(cuatro -y^ dos)=x
- raíz cuadrada de (4 menos y al cuadrado ) es igual a x
- raíz cuadrada de (cuatro menos y en el grado dos) es igual a x
- √(4-y^2)=x
- sqrt(4-y2)=x
- sqrt4-y2=x
- sqrt(4-y²)=x
- sqrt(4-y en el grado 2)=x
- sqrt4-y^2=x
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Expresiones semejantes
- sqrt(4+y^2)=x
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt5(x−23)=−3
- sqrt(-0,538914^2+0^2)=x
- sqrt(4*x+7)=2*x+11
- sqrt(x^2+4x+4)-sqrt(x^2-6x+9)=5
- sqrt((y+2*sqrt(y)+6))-y-2*sqrt(y)=0
sqrt(4-y^2)=x la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Gráfica
Suma y producto de raíces
[src]
suma
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/ 2 / / 2 2 \\ / 2 / / 2 2 \\
4 / / 2 2 \ 2 2 |atan2\-2*im(y)*re(y), 4 + im (y) - re (y)/| 4 / / 2 2 \ 2 2 |atan2\-2*im(y)*re(y), 4 + im (y) - re (y)/|
\/ \4 + im (y) - re (y)/ + 4*im (y)*re (y) *cos|------------------------------------------| + I*\/ \4 + im (y) - re (y)/ + 4*im (y)*re (y) *sin|------------------------------------------|
\ 2 / \ 2 /
$$i \sqrt[4]{\left(- \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(- \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4 \right)}}{2} \right)}$$
=
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/ 2 / / 2 2 \\ / 2 / / 2 2 \\
4 / / 2 2 \ 2 2 |atan2\-2*im(y)*re(y), 4 + im (y) - re (y)/| 4 / / 2 2 \ 2 2 |atan2\-2*im(y)*re(y), 4 + im (y) - re (y)/|
\/ \4 + im (y) - re (y)/ + 4*im (y)*re (y) *cos|------------------------------------------| + I*\/ \4 + im (y) - re (y)/ + 4*im (y)*re (y) *sin|------------------------------------------|
\ 2 / \ 2 /
$$i \sqrt[4]{\left(- \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(- \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4 \right)}}{2} \right)}$$
producto
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/ 2 / / 2 2 \\ / 2 / / 2 2 \\
4 / / 2 2 \ 2 2 |atan2\-2*im(y)*re(y), 4 + im (y) - re (y)/| 4 / / 2 2 \ 2 2 |atan2\-2*im(y)*re(y), 4 + im (y) - re (y)/|
\/ \4 + im (y) - re (y)/ + 4*im (y)*re (y) *cos|------------------------------------------| + I*\/ \4 + im (y) - re (y)/ + 4*im (y)*re (y) *sin|------------------------------------------|
\ 2 / \ 2 /
$$i \sqrt[4]{\left(- \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(- \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4 \right)}}{2} \right)}$$
=
/ 2 2 \
__________________________________________ I*atan2\-2*im(y)*re(y), 4 + im (y) - re (y)/
/ 2 --------------------------------------------
4 / / 2 2 \ 2 2 2
\/ \4 + im (y) - re (y)/ + 4*im (y)*re (y) *e
$$\sqrt[4]{\left(- \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} e^{\frac{i \operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4 \right)}}{2}}$$
((4 + im(y)^2 - re(y)^2)^2 + 4*im(y)^2*re(y)^2)^(1/4)*exp(i*atan2(-2*im(y)*re(y), 4 + im(y)^2 - re(y)^2)/2)
Respuesta rápida
[src]
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/ 2 / / 2 2 \\ / 2 / / 2 2 \\
4 / / 2 2 \ 2 2 |atan2\-2*im(y)*re(y), 4 + im (y) - re (y)/| 4 / / 2 2 \ 2 2 |atan2\-2*im(y)*re(y), 4 + im (y) - re (y)/|
x1 = \/ \4 + im (y) - re (y)/ + 4*im (y)*re (y) *cos|------------------------------------------| + I*\/ \4 + im (y) - re (y)/ + 4*im (y)*re (y) *sin|------------------------------------------|
\ 2 / \ 2 /
$$x_{1} = i \sqrt[4]{\left(- \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(- \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4 \right)}}{2} \right)}$$
x1 = i*((-re(y)^2 + im(y)^2 + 4)^2 + 4*re(y)^2*im(y)^2)^(1/4)*sin(atan2(-2*re(y)*im(y, -re(y)^2 + im(y)^2 + 4)/2) + ((-re(y)^2 + im(y)^2 + 4)^2 + 4*re(y)^2*im(y)^2)^(1/4)*cos(atan2(-2*re(y)*im(y), -re(y)^2 + im(y)^2 + 4)/2))