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La ecuación:
Ecuación 3^x=27
Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
Ecuación x(x^2+2x+1)=6(x+1)
Ecuación 4x+1=-3x+15
Expresar {x} en función de y en la ecuación:
-6*x-20*y=8
7*x-1*y=0
2*x-8*y=4
2*x-15*y=-1
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)
Expresiones semejantes
z=sqrt(5)*sqrt(x)+3/sqrt(y)
Expresiones con funciones
Raíz cuadrada sqrt
sqrt(x-1)=x-3
sqrt(x+6)=x
sqrt(16-4*x)=2
sqrt(x^2+9)=2*x-3
sqrt-x=x+6
Raíz cuadrada sqrt
sqrt(x-1)=x-3
sqrt(x+6)=x
sqrt(16-4*x)=2
sqrt(x^2+9)=2*x-3
sqrt-x=x+6
Raíz cuadrada sqrt
sqrt(x-1)=x-3
sqrt(x+6)=x
sqrt(16-4*x)=2
sqrt(x^2+9)=2*x-3
sqrt-x=x+6

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}}

Simplificar

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

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))

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Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

z=sqrt(5)*sqrt(x)-3/sqrt(y) la ecuación

Solución numérica:

Solución