Sr Examen

Otras calculadoras

(3/2)*((x+3)^(1/2))+(a-4)=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
    _______            
3*\/ x + 3             
----------- + a - 4 = 0
     2                 
$$\left(a - 4\right) + \frac{3 \sqrt{x + 3}}{2} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
         2                    2                         
     4*im (a)   4*(-4 + re(a))    8*I*(-4 + re(a))*im(a)
-3 - -------- + --------------- + ----------------------
        9              9                    9           
$$\frac{4 \left(\operatorname{re}{\left(a\right)} - 4\right)^{2}}{9} + \frac{8 i \left(\operatorname{re}{\left(a\right)} - 4\right) \operatorname{im}{\left(a\right)}}{9} - \frac{4 \left(\operatorname{im}{\left(a\right)}\right)^{2}}{9} - 3$$
=
         2                    2                         
     4*im (a)   4*(-4 + re(a))    8*I*(-4 + re(a))*im(a)
-3 - -------- + --------------- + ----------------------
        9              9                    9           
$$\frac{4 \left(\operatorname{re}{\left(a\right)} - 4\right)^{2}}{9} + \frac{8 i \left(\operatorname{re}{\left(a\right)} - 4\right) \operatorname{im}{\left(a\right)}}{9} - \frac{4 \left(\operatorname{im}{\left(a\right)}\right)^{2}}{9} - 3$$
producto
         2                    2                         
     4*im (a)   4*(-4 + re(a))    8*I*(-4 + re(a))*im(a)
-3 - -------- + --------------- + ----------------------
        9              9                    9           
$$\frac{4 \left(\operatorname{re}{\left(a\right)} - 4\right)^{2}}{9} + \frac{8 i \left(\operatorname{re}{\left(a\right)} - 4\right) \operatorname{im}{\left(a\right)}}{9} - \frac{4 \left(\operatorname{im}{\left(a\right)}\right)^{2}}{9} - 3$$
=
         2                    2                         
     4*im (a)   4*(-4 + re(a))    8*I*(-4 + re(a))*im(a)
-3 - -------- + --------------- + ----------------------
        9              9                    9           
$$\frac{4 \left(\operatorname{re}{\left(a\right)} - 4\right)^{2}}{9} + \frac{8 i \left(\operatorname{re}{\left(a\right)} - 4\right) \operatorname{im}{\left(a\right)}}{9} - \frac{4 \left(\operatorname{im}{\left(a\right)}\right)^{2}}{9} - 3$$
-3 - 4*im(a)^2/9 + 4*(-4 + re(a))^2/9 + 8*i*(-4 + re(a))*im(a)/9
Respuesta rápida [src]
              2                    2                         
          4*im (a)   4*(-4 + re(a))    8*I*(-4 + re(a))*im(a)
x1 = -3 - -------- + --------------- + ----------------------
             9              9                    9           
$$x_{1} = \frac{4 \left(\operatorname{re}{\left(a\right)} - 4\right)^{2}}{9} + \frac{8 i \left(\operatorname{re}{\left(a\right)} - 4\right) \operatorname{im}{\left(a\right)}}{9} - \frac{4 \left(\operatorname{im}{\left(a\right)}\right)^{2}}{9} - 3$$
x1 = 4*(re(a) - 4)^2/9 + 8*i*(re(a) - 4)*im(a)/9 - 4*im(a)^2/9 - 3