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sqrt(x+a)-sqrt(x-a)=a la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
  _______     _______    
\/ x + a  - \/ x - a  = a
−−a+x+a+x=a- \sqrt{- a + x} + \sqrt{a + x} = a
Simplificar
Gráfica
Suma y producto de raíces [src] 
suma
      2        2                   
    im (a)   re (a)   I*im(a)*re(a)
1 - ------ + ------ + -------------
      4        4            2
(re⁡(a))24+ire⁡(a)im⁡(a)2−(im⁡(a))24+1\frac{\left(\operatorname{re}{\left(a\right)}\right)^{2}}{4} + \frac{i \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)}}{2} - \frac{\left(\operatorname{im}{\left(a\right)}\right)^{2}}{4} + 1 
=
      2        2                   
    im (a)   re (a)   I*im(a)*re(a)
1 - ------ + ------ + -------------
      4        4            2
(re⁡(a))24+ire⁡(a)im⁡(a)2−(im⁡(a))24+1\frac{\left(\operatorname{re}{\left(a\right)}\right)^{2}}{4} + \frac{i \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)}}{2} - \frac{\left(\operatorname{im}{\left(a\right)}\right)^{2}}{4} + 1 
producto
      2        2                   
    im (a)   re (a)   I*im(a)*re(a)
1 - ------ + ------ + -------------
      4        4            2
(re⁡(a))24+ire⁡(a)im⁡(a)2−(im⁡(a))24+1\frac{\left(\operatorname{re}{\left(a\right)}\right)^{2}}{4} + \frac{i \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)}}{2} - \frac{\left(\operatorname{im}{\left(a\right)}\right)^{2}}{4} + 1 
=
      2        2                   
    im (a)   re (a)   I*im(a)*re(a)
1 - ------ + ------ + -------------
      4        4            2
(re⁡(a))24+ire⁡(a)im⁡(a)2−(im⁡(a))24+1\frac{\left(\operatorname{re}{\left(a\right)}\right)^{2}}{4} + \frac{i \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)}}{2} - \frac{\left(\operatorname{im}{\left(a\right)}\right)^{2}}{4} + 1 
1 - im(a)^2/4 + re(a)^2/4 + i*im(a)*re(a)/2
Respuesta rápida [src] 
           2        2                   
         im (a)   re (a)   I*im(a)*re(a)
x1 = 1 - ------ + ------ + -------------
           4        4            2
x1=(re⁡(a))24+ire⁡(a)im⁡(a)2−(im⁡(a))24+1x_{1} = \frac{\left(\operatorname{re}{\left(a\right)}\right)^{2}}{4} + \frac{i \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)}}{2} - \frac{\left(\operatorname{im}{\left(a\right)}\right)^{2}}{4} + 1 
x1 = re(a)^2/4 + i*re(a)*im(a)/2 - im(a)^2/4 + 1
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