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arctgx-ln((2*y+3)^(1/2))=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
             /  _________\    
acot(x) - log\\/ 2*y + 3 / = 0
−log⁡(2y+3)+acot⁡(x)=0- \log{\left(\sqrt{2 y + 3} \right)} + \operatorname{acot}{\left(x \right)} = 0
Simplificar
Gráfica
Respuesta rápida [src] 
                               2*re(acot(x))      2*re(acot(x))                   
       3   cos(2*im(acot(x)))*e                I*e             *sin(2*im(acot(x)))
y1 = - - + --------------------------------- + -----------------------------------
       2                   2                                    2
y1=ie2re⁡(acot⁡(x))sin⁡(2im⁡(acot⁡(x)))2+e2re⁡(acot⁡(x))cos⁡(2im⁡(acot⁡(x)))2−32y_{1} = \frac{i e^{2 \operatorname{re}{\left(\operatorname{acot}{\left(x \right)}\right)}} \sin{\left(2 \operatorname{im}{\left(\operatorname{acot}{\left(x \right)}\right)} \right)}}{2} + \frac{e^{2 \operatorname{re}{\left(\operatorname{acot}{\left(x \right)}\right)}} \cos{\left(2 \operatorname{im}{\left(\operatorname{acot}{\left(x \right)}\right)} \right)}}{2} - \frac{3}{2} 
y1 = i*exp(2*re(acot(x)))*sin(2*im(acot(x)))/2 + exp(2*re(acot(x)))*cos(2*im(acot(x)))/2 - 3/2
Suma y producto de raíces [src] 
suma
                          2*re(acot(x))      2*re(acot(x))                   
  3   cos(2*im(acot(x)))*e                I*e             *sin(2*im(acot(x)))
- - + --------------------------------- + -----------------------------------
  2                   2                                    2
ie2re⁡(acot⁡(x))sin⁡(2im⁡(acot⁡(x)))2+e2re⁡(acot⁡(x))cos⁡(2im⁡(acot⁡(x)))2−32\frac{i e^{2 \operatorname{re}{\left(\operatorname{acot}{\left(x \right)}\right)}} \sin{\left(2 \operatorname{im}{\left(\operatorname{acot}{\left(x \right)}\right)} \right)}}{2} + \frac{e^{2 \operatorname{re}{\left(\operatorname{acot}{\left(x \right)}\right)}} \cos{\left(2 \operatorname{im}{\left(\operatorname{acot}{\left(x \right)}\right)} \right)}}{2} - \frac{3}{2} 
=
                          2*re(acot(x))      2*re(acot(x))                   
  3   cos(2*im(acot(x)))*e                I*e             *sin(2*im(acot(x)))
- - + --------------------------------- + -----------------------------------
  2                   2                                    2
ie2re⁡(acot⁡(x))sin⁡(2im⁡(acot⁡(x)))2+e2re⁡(acot⁡(x))cos⁡(2im⁡(acot⁡(x)))2−32\frac{i e^{2 \operatorname{re}{\left(\operatorname{acot}{\left(x \right)}\right)}} \sin{\left(2 \operatorname{im}{\left(\operatorname{acot}{\left(x \right)}\right)} \right)}}{2} + \frac{e^{2 \operatorname{re}{\left(\operatorname{acot}{\left(x \right)}\right)}} \cos{\left(2 \operatorname{im}{\left(\operatorname{acot}{\left(x \right)}\right)} \right)}}{2} - \frac{3}{2} 
producto
                          2*re(acot(x))      2*re(acot(x))                   
  3   cos(2*im(acot(x)))*e                I*e             *sin(2*im(acot(x)))
- - + --------------------------------- + -----------------------------------
  2                   2                                    2
ie2re⁡(acot⁡(x))sin⁡(2im⁡(acot⁡(x)))2+e2re⁡(acot⁡(x))cos⁡(2im⁡(acot⁡(x)))2−32\frac{i e^{2 \operatorname{re}{\left(\operatorname{acot}{\left(x \right)}\right)}} \sin{\left(2 \operatorname{im}{\left(\operatorname{acot}{\left(x \right)}\right)} \right)}}{2} + \frac{e^{2 \operatorname{re}{\left(\operatorname{acot}{\left(x \right)}\right)}} \cos{\left(2 \operatorname{im}{\left(\operatorname{acot}{\left(x \right)}\right)} \right)}}{2} - \frac{3}{2} 
=
                          2*re(acot(x))      2*re(acot(x))                   
  3   cos(2*im(acot(x)))*e                I*e             *sin(2*im(acot(x)))
- - + --------------------------------- + -----------------------------------
  2                   2                                    2
ie2re⁡(acot⁡(x))sin⁡(2im⁡(acot⁡(x)))2+e2re⁡(acot⁡(x))cos⁡(2im⁡(acot⁡(x)))2−32\frac{i e^{2 \operatorname{re}{\left(\operatorname{acot}{\left(x \right)}\right)}} \sin{\left(2 \operatorname{im}{\left(\operatorname{acot}{\left(x \right)}\right)} \right)}}{2} + \frac{e^{2 \operatorname{re}{\left(\operatorname{acot}{\left(x \right)}\right)}} \cos{\left(2 \operatorname{im}{\left(\operatorname{acot}{\left(x \right)}\right)} \right)}}{2} - \frac{3}{2} 
-3/2 + cos(2*im(acot(x)))*exp(2*re(acot(x)))/2 + i*exp(2*re(acot(x)))*sin(2*im(acot(x)))/2
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