y=(((a*w+c*a+c*g-c*a+y*(g-a))*(g-a)*(s-d))/((g-a)*(w-c))-b*s+b*d+d*r-b*d)/(r-b) la ecuación

Ha introducido [src]

    (a*w + c*a + c*g - c*a + y*(g - a))*(g - a)*(s - d)                        
    --------------------------------------------------- - b*s + b*d + d*r - b*d
                      (g - a)*(w - c)                                          
y = ---------------------------------------------------------------------------
                                       r - b

y = \frac{- b d + \left(d r + \left(b d + \left(- b s + \frac{\left(- a + g\right) \left(y \left(- a + g\right) + \left(- a c + \left(c g + \left(a c + a w\right)\right)\right)\right) \left(- d + s\right)}{\left(- a + g\right) \left(- c + w\right)}\right)\right)\right)}{- b + r}

Simplificar

Gráfica

Respuesta rápida [src]

       /(-im(a*d) - im(b*w) - im(c*r) - im(g*s) + im(a*s) + im(b*c) + im(d*g) + im(r*w))*(-re(a*s*w) - re(b*c*s) - re(c*g*s) - re(d*r*w) + re(a*d*w) + re(b*s*w) + re(c*d*g) + re(c*d*r))   (-im(a*s*w) - im(b*c*s) - im(c*g*s) - im(d*r*w) + im(a*d*w) + im(b*s*w) + im(c*d*g) + im(c*d*r))*(-re(a*s) - re(b*c) - re(d*g) - re(r*w) + re(a*d) + re(b*w) + re(c*r) + re(g*s))\   (-re(a*s) - re(b*c) - re(d*g) - re(r*w) + re(a*d) + re(b*w) + re(c*r) + re(g*s))*(-re(a*s*w) - re(b*c*s) - re(c*g*s) - re(d*r*w) + re(a*d*w) + re(b*s*w) + re(c*d*g) + re(c*d*r))   (-im(a*d) - im(b*w) - im(c*r) - im(g*s) + im(a*s) + im(b*c) + im(d*g) + im(r*w))*(-im(a*s*w) - im(b*c*s) - im(c*g*s) - im(d*r*w) + im(a*d*w) + im(b*s*w) + im(c*d*g) + im(c*d*r))
y1 = I*|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
       |                                                                                      2                                                                                   2                                                                                               2                                                                                   2      |                                                                                         2                                                                                   2                                                                                               2                                                                                   2      
       \      (-im(a*s) - im(b*c) - im(d*g) - im(r*w) + im(a*d) + im(b*w) + im(c*r) + im(g*s))  + (-re(a*s) - re(b*c) - re(d*g) - re(r*w) + re(a*d) + re(b*w) + re(c*r) + re(g*s))                (-im(a*s) - im(b*c) - im(d*g) - im(r*w) + im(a*d) + im(b*w) + im(c*r) + im(g*s))  + (-re(a*s) - re(b*c) - re(d*g) - re(r*w) + re(a*d) + re(b*w) + re(c*r) + re(g*s))       /         (-im(a*s) - im(b*c) - im(d*g) - im(r*w) + im(a*d) + im(b*w) + im(c*r) + im(g*s))  + (-re(a*s) - re(b*c) - re(d*g) - re(r*w) + re(a*d) + re(b*w) + re(c*r) + re(g*s))                (-im(a*s) - im(b*c) - im(d*g) - im(r*w) + im(a*d) + im(b*w) + im(c*r) + im(g*s))  + (-re(a*s) - re(b*c) - re(d*g) - re(r*w) + re(a*d) + re(b*w) + re(c*r) + re(g*s))

y_{1} = i \left(\frac{\left(\operatorname{re}{\left(a d\right)} - \operatorname{re}{\left(a s\right)} - \operatorname{re}{\left(b c\right)} + \operatorname{re}{\left(b w\right)} + \operatorname{re}{\left(c r\right)} - \operatorname{re}{\left(d g\right)} + \operatorname{re}{\left(g s\right)} - \operatorname{re}{\left(r w\right)}\right) \left(\operatorname{im}{\left(a d w\right)} - \operatorname{im}{\left(a s w\right)} - \operatorname{im}{\left(b c s\right)} + \operatorname{im}{\left(b s w\right)} + \operatorname{im}{\left(c d g\right)} + \operatorname{im}{\left(c d r\right)} - \operatorname{im}{\left(c g s\right)} - \operatorname{im}{\left(d r w\right)}\right)}{\left(\operatorname{re}{\left(a d\right)} - \operatorname{re}{\left(a s\right)} - \operatorname{re}{\left(b c\right)} + \operatorname{re}{\left(b w\right)} + \operatorname{re}{\left(c r\right)} - \operatorname{re}{\left(d g\right)} + \operatorname{re}{\left(g s\right)} - \operatorname{re}{\left(r w\right)}\right)^{2} + \left(\operatorname{im}{\left(a d\right)} - \operatorname{im}{\left(a s\right)} - \operatorname{im}{\left(b c\right)} + \operatorname{im}{\left(b w\right)} + \operatorname{im}{\left(c r\right)} - \operatorname{im}{\left(d g\right)} + \operatorname{im}{\left(g s\right)} - \operatorname{im}{\left(r w\right)}\right)^{2}} + \frac{\left(\operatorname{re}{\left(a d w\right)} - \operatorname{re}{\left(a s w\right)} - \operatorname{re}{\left(b c s\right)} + \operatorname{re}{\left(b s w\right)} + \operatorname{re}{\left(c d g\right)} + \operatorname{re}{\left(c d r\right)} - \operatorname{re}{\left(c g s\right)} - \operatorname{re}{\left(d r w\right)}\right) \left(- \operatorname{im}{\left(a d\right)} + \operatorname{im}{\left(a s\right)} + \operatorname{im}{\left(b c\right)} - \operatorname{im}{\left(b w\right)} - \operatorname{im}{\left(c r\right)} + \operatorname{im}{\left(d g\right)} - \operatorname{im}{\left(g s\right)} + \operatorname{im}{\left(r w\right)}\right)}{\left(\operatorname{re}{\left(a d\right)} - \operatorname{re}{\left(a s\right)} - \operatorname{re}{\left(b c\right)} + \operatorname{re}{\left(b w\right)} + \operatorname{re}{\left(c r\right)} - \operatorname{re}{\left(d g\right)} + \operatorname{re}{\left(g s\right)} - \operatorname{re}{\left(r w\right)}\right)^{2} + \left(\operatorname{im}{\left(a d\right)} - \operatorname{im}{\left(a s\right)} - \operatorname{im}{\left(b c\right)} + \operatorname{im}{\left(b w\right)} + \operatorname{im}{\left(c r\right)} - \operatorname{im}{\left(d g\right)} + \operatorname{im}{\left(g s\right)} - \operatorname{im}{\left(r w\right)}\right)^{2}}\right) + \frac{\left(\operatorname{re}{\left(a d\right)} - \operatorname{re}{\left(a s\right)} - \operatorname{re}{\left(b c\right)} + \operatorname{re}{\left(b w\right)} + \operatorname{re}{\left(c r\right)} - \operatorname{re}{\left(d g\right)} + \operatorname{re}{\left(g s\right)} - \operatorname{re}{\left(r w\right)}\right) \left(\operatorname{re}{\left(a d w\right)} - \operatorname{re}{\left(a s w\right)} - \operatorname{re}{\left(b c s\right)} + \operatorname{re}{\left(b s w\right)} + \operatorname{re}{\left(c d g\right)} + \operatorname{re}{\left(c d r\right)} - \operatorname{re}{\left(c g s\right)} - \operatorname{re}{\left(d r w\right)}\right)}{\left(\operatorname{re}{\left(a d\right)} - \operatorname{re}{\left(a s\right)} - \operatorname{re}{\left(b c\right)} + \operatorname{re}{\left(b w\right)} + \operatorname{re}{\left(c r\right)} - \operatorname{re}{\left(d g\right)} + \operatorname{re}{\left(g s\right)} - \operatorname{re}{\left(r w\right)}\right)^{2} + \left(\operatorname{im}{\left(a d\right)} - \operatorname{im}{\left(a s\right)} - \operatorname{im}{\left(b c\right)} + \operatorname{im}{\left(b w\right)} + \operatorname{im}{\left(c r\right)} - \operatorname{im}{\left(d g\right)} + \operatorname{im}{\left(g s\right)} - \operatorname{im}{\left(r w\right)}\right)^{2}} - \frac{\left(- \operatorname{im}{\left(a d\right)} + \operatorname{im}{\left(a s\right)} + \operatorname{im}{\left(b c\right)} - \operatorname{im}{\left(b w\right)} - \operatorname{im}{\left(c r\right)} + \operatorname{im}{\left(d g\right)} - \operatorname{im}{\left(g s\right)} + \operatorname{im}{\left(r w\right)}\right) \left(\operatorname{im}{\left(a d w\right)} - \operatorname{im}{\left(a s w\right)} - \operatorname{im}{\left(b c s\right)} + \operatorname{im}{\left(b s w\right)} + \operatorname{im}{\left(c d g\right)} + \operatorname{im}{\left(c d r\right)} - \operatorname{im}{\left(c g s\right)} - \operatorname{im}{\left(d r w\right)}\right)}{\left(\operatorname{re}{\left(a d\right)} - \operatorname{re}{\left(a s\right)} - \operatorname{re}{\left(b c\right)} + \operatorname{re}{\left(b w\right)} + \operatorname{re}{\left(c r\right)} - \operatorname{re}{\left(d g\right)} + \operatorname{re}{\left(g s\right)} - \operatorname{re}{\left(r w\right)}\right)^{2} + \left(\operatorname{im}{\left(a d\right)} - \operatorname{im}{\left(a s\right)} - \operatorname{im}{\left(b c\right)} + \operatorname{im}{\left(b w\right)} + \operatorname{im}{\left(c r\right)} - \operatorname{im}{\left(d g\right)} + \operatorname{im}{\left(g s\right)} - \operatorname{im}{\left(r w\right)}\right)^{2}}

y1 = i*((re(a*d) - re(a*s) - re(b*c) + re(b*w) + re(c*r) - re(d*g) + re(g*s) - re(r*w))*(im(a*d*w) - im(a*s*w) - im(b*c*s) + im(b*s*w) + im(c*d*g) + im(c*d*r) - im(c*g*s) - im(d*r*w))/((re(a*d) - re(a*s) - re(b*c) + re(b*w) + re(c*r) - re(d*g) + re(g*s) - re(r*w))^2 + (im(a*d) - im(a*s) - im(b*c) + im(b*w) + im(c*r) - im(d*g) + im(g*s) - im(r*w))^2) + (re(a*d*w) - re(a*s*w) - re(b*c*s) + re(b*s*w) + re(c*d*g) + re(c*d*r) - re(c*g*s) - re(d*r*w))*(-im(a*d) + im(a*s) + im(b*c) - im(b*w) - im(c*r) + im(d*g) - im(g*s) + im(r*w))/((re(a*d) - re(a*s) - re(b*c) + re(b*w) + re(c*r) - re(d*g) + re(g*s) - re(r*w))^2 + (im(a*d) - im(a*s) - im(b*c) + im(b*w) + im(c*r) - im(d*g) + im(g*s) - im(r*w))^2)) + (re(a*d) - re(a*s) - re(b*c) + re(b*w) + re(c*r) - re(d*g) + re(g*s) - re(r*w))*(re(a*d*w) - re(a*s*w) - re(b*c*s) + re(b*s*w) + re(c*d*g) + re(c*d*r) - re(c*g*s) - re(d*r*w))/((re(a*d) - re(a*s) - re(b*c) + re(b*w) + re(c*r) - re(d*g) + re(g*s) - re(r*w))^2 + (im(a*d) - im(a*s) - im(b*c) + im(b*w) + im(c*r) - im(d*g) + im(g*s) - im(r*w))^2) - (-im(a*d) + im(a*s) + im(b*c) - im(b*w) - im(c*r) + im(d*g) - im(g*s) + im(r*w))*(im(a*d*w) - im(a*s*w) - im(b*c*s) + im(b*s*w) + im(c*d*g) + im(c*d*r) - im(c*g*s) - im(d*r*w))/((re(a*d) - re(a*s) - re(b*c) + re(b*w) + re(c*r) - re(d*g) + re(g*s) - re(r*w))^2 + (im(a*d) - im(a*s) - im(b*c) + im(b*w) + im(c*r) - im(d*g) + im(g*s) - im(r*w))^2)

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y=(((aw+ca+cg-ca+y(g-a))(g-a)(s-d))/((g-a)(w-c))-bs+bd+dr-bd)/(r-b) la ecuación

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