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- La ecuación:
-
Ecuación x^2-11*x+30=0
- Ecuación x^2+y^2=9
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Ecuación -33-y=-19
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Ecuación 11/(x-9)=-10
- Expresar {x} en función de y en la ecuación:
- -18*x-2*y=9
- -4*x+6*y=-7
- -7*x-13*y=5
- -18*x+8*y=-2
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Expresiones idénticas
- z=sqrt(cinco)*sqrt(x)- tres /sqrt(y)
- z es igual a raíz cuadrada de (5) multiplicar por raíz cuadrada de (x) menos 3 dividir por raíz cuadrada de (y)
- z es igual a raíz cuadrada de (cinco) multiplicar por raíz cuadrada de (x) menos tres dividir por raíz cuadrada de (y)
- z=√(5)*√(x)-3/√(y)
- z=sqrt(5)sqrt(x)-3/sqrt(y)
- z=sqrt5sqrtx-3/sqrty
- z=sqrt(5)*sqrt(x)-3 dividir por sqrt(y)
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Expresiones semejantes
- z=sqrt(5)*sqrt(x)+3/sqrt(y)
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(x^2-5x+1)=sqrt(x-4)
- sqrt(12+x)-sqrt(1-x)=1
- sqrt(x)=5
- sqrt(6+x-x^2)=1-x
- sqrt(x^2-4)=4-2x
- Raíz cuadrada sqrt
- sqrt(x^2-5x+1)=sqrt(x-4)
- sqrt(12+x)-sqrt(1-x)=1
- sqrt(x)=5
- sqrt(6+x-x^2)=1-x
- sqrt(x^2-4)=4-2x
- Raíz cuadrada sqrt
- sqrt(x^2-5x+1)=sqrt(x-4)
- sqrt(12+x)-sqrt(1-x)=1
- sqrt(x)=5
- sqrt(6+x-x^2)=1-x
- sqrt(x^2-4)=4-2x
z=sqrt(5)*sqrt(x)-3/sqrt(y) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___ ___ 3
z = \/ 5 *\/ x - -----
___
\/ y
$$z = \sqrt{5} \sqrt{x} - \frac{3}{\sqrt{y}}$$
Solución detallada
Tenemos la ecuación:
$$z = \sqrt{5} \sqrt{x} - \frac{3}{\sqrt{y}}$$
cambiamos:
$$z = \sqrt{5} \sqrt{x} - \frac{3}{\sqrt{y}}$$
Abrimos los paréntesis en el miembro derecho de la ecuación
Obtenemos la respuesta: z = -3/sqrt(y) + sqrt(5)*sqrt(x)
$$z = \sqrt{5} \sqrt{x} - \frac{3}{\sqrt{y}}$$
cambiamos:
$$z = \sqrt{5} \sqrt{x} - \frac{3}{\sqrt{y}}$$
Abrimos los paréntesis en el miembro derecho de la ecuación
z = -3/sqrty + sqrt5sqrtx
Obtenemos la respuesta: z = -3/sqrt(y) + sqrt(5)*sqrt(x)
Gráfica
Suma y producto de raíces
[src]
suma
/ /atan2(im(y), re(y))\ \ /atan2(im(y), re(y))\ |3*sin|-------------------| _________________ | 3*cos|-------------------| _________________ | \ 2 / ___ 4 / 2 2 /atan2(im(x), re(x))\| \ 2 / ___ 4 / 2 2 /atan2(im(x), re(x))\ I*|-------------------------- + \/ 5 *\/ im (x) + re (x) *sin|-------------------|| - -------------------------- + \/ 5 *\/ im (x) + re (x) *cos|-------------------| | _________________ \ 2 /| _________________ \ 2 / | 4 / 2 2 | 4 / 2 2 \ \/ im (y) + re (y) / \/ im (y) + re (y)
$$i \left(\sqrt{5} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)} + \frac{3 \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)}}{\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}}}\right) + \sqrt{5} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)} - \frac{3 \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)}}{\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}}}$$
=
/ /atan2(im(y), re(y))\ \ /atan2(im(y), re(y))\ |3*sin|-------------------| _________________ | 3*cos|-------------------| _________________ | \ 2 / ___ 4 / 2 2 /atan2(im(x), re(x))\| \ 2 / ___ 4 / 2 2 /atan2(im(x), re(x))\ I*|-------------------------- + \/ 5 *\/ im (x) + re (x) *sin|-------------------|| - -------------------------- + \/ 5 *\/ im (x) + re (x) *cos|-------------------| | _________________ \ 2 /| _________________ \ 2 / | 4 / 2 2 | 4 / 2 2 \ \/ im (y) + re (y) / \/ im (y) + re (y)
$$i \left(\sqrt{5} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)} + \frac{3 \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)}}{\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}}}\right) + \sqrt{5} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)} - \frac{3 \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)}}{\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}}}$$
producto
/ /atan2(im(y), re(y))\ \ /atan2(im(y), re(y))\ |3*sin|-------------------| _________________ | 3*cos|-------------------| _________________ | \ 2 / ___ 4 / 2 2 /atan2(im(x), re(x))\| \ 2 / ___ 4 / 2 2 /atan2(im(x), re(x))\ I*|-------------------------- + \/ 5 *\/ im (x) + re (x) *sin|-------------------|| - -------------------------- + \/ 5 *\/ im (x) + re (x) *cos|-------------------| | _________________ \ 2 /| _________________ \ 2 / | 4 / 2 2 | 4 / 2 2 \ \/ im (y) + re (y) / \/ im (y) + re (y)
$$i \left(\sqrt{5} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)} + \frac{3 \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)}}{\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}}}\right) + \sqrt{5} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)} - \frac{3 \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)}}{\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}}}$$
=
/atan2(im(y), re(y))\ /atan2(im(y), re(y))\
3*cos|-------------------| _________________ 3*I*sin|-------------------| _________________
\ 2 / ___ 4 / 2 2 /atan2(im(x), re(x))\ \ 2 / ___ 4 / 2 2 /atan2(im(x), re(x))\
- -------------------------- + \/ 5 *\/ im (x) + re (x) *cos|-------------------| + ---------------------------- + I*\/ 5 *\/ im (x) + re (x) *sin|-------------------|
_________________ \ 2 / _________________ \ 2 /
4 / 2 2 4 / 2 2
\/ im (y) + re (y) \/ im (y) + re (y)
$$\sqrt{5} i \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)} + \sqrt{5} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)} + \frac{3 i \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)}}{\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}}} - \frac{3 \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)}}{\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}}}$$
-3*cos(atan2(im(y), re(y))/2)/(im(y)^2 + re(y)^2)^(1/4) + sqrt(5)*(im(x)^2 + re(x)^2)^(1/4)*cos(atan2(im(x), re(x))/2) + 3*i*sin(atan2(im(y), re(y))/2)/(im(y)^2 + re(y)^2)^(1/4) + i*sqrt(5)*(im(x)^2 + re(x)^2)^(1/4)*sin(atan2(im(x), re(x))/2)
Respuesta rápida
[src]
/ /atan2(im(y), re(y))\ \ /atan2(im(y), re(y))\
|3*sin|-------------------| _________________ | 3*cos|-------------------| _________________
| \ 2 / ___ 4 / 2 2 /atan2(im(x), re(x))\| \ 2 / ___ 4 / 2 2 /atan2(im(x), re(x))\
z1 = I*|-------------------------- + \/ 5 *\/ im (x) + re (x) *sin|-------------------|| - -------------------------- + \/ 5 *\/ im (x) + re (x) *cos|-------------------|
| _________________ \ 2 /| _________________ \ 2 /
| 4 / 2 2 | 4 / 2 2
\ \/ im (y) + re (y) / \/ im (y) + re (y)
$$z_{1} = i \left(\sqrt{5} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)} + \frac{3 \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)}}{\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}}}\right) + \sqrt{5} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} \right)}}{2} \right)} - \frac{3 \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)}}{\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}}}$$
z1 = i*(sqrt(5)*(re(x)^2 + im(x)^2)^(1/4)*sin(atan2(im(x, re(x))/2) + 3*sin(atan2(im(y), re(y))/2)/(re(y)^2 + im(y)^2)^(1/4)) + sqrt(5)*(re(x)^2 + im(x)^2)^(1/4)*cos(atan2(im(x), re(x))/2) - 3*cos(atan2(im(y), re(y))/2)/(re(y)^2 + im(y)^2)^(1/4))