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ax-b/a+b+bx+a/a-b=a^2+b^2/a^2-b^2 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
                                  2     
      b             a        2   b     2
a*x - - + b + b*x + - - b = a  + -- - b 
      a             a             2     
                                 a
−b+((bx+(b+(ax−ba)))+aa)=−b2+(a2+b2a2)- b + \left(\left(b x + \left(b + \left(a x - \frac{b}{a}\right)\right)\right) + \frac{a}{a}\right) = - b^{2} + \left(a^{2} + \frac{b^{2}}{a^{2}}\right)
Simplificar
Resolución de la ecuación paramétrica
Se da la ecuación con parámetro:
ax+bx+1−ba=a2−b2+b2a2a x + b x + 1 - \frac{b}{a} = a^{2} - b^{2} + \frac{b^{2}}{a^{2}}
Коэффициент при x равен
a+ba + b
entonces son posibles los casos para a :
a<−ba < - b
a=−ba = - b
Consideremos todos los casos con detalles:
Con
a<−ba < - b
la ecuación será
b2−b2(−b−1)2+bx−b−b−1+x(−b−1)−(−b−1)2+1=0b^{2} - \frac{b^{2}}{\left(- b - 1\right)^{2}} + b x - \frac{b}{- b - 1} + x \left(- b - 1\right) - \left(- b - 1\right)^{2} + 1 = 0
su solución
x=−b(2b2+4b+1)b2+2b+1x = - \frac{b \left(2 b^{2} + 4 b + 1\right)}{b^{2} + 2 b + 1}
Con
a=−ba = - b
la ecuación será
1=01 = 0
su solución
no hay soluciones
Gráfica
Respuesta rápida [src] 
       //    / 2  2\       3                                                3                   \   /    1     \   /  2        4        4        2        2        2        / 2  2\       2      2             \   /    1     \\   /  2        4        4        2        2        2        / 2  2\       2      2             \   /    1     \   /    / 2  2\       3                                                3                   \   /    1     \
x1 = I*|\- im\a *b / - 4*im (a)*re(a) - 2*im(a)*re(a) + 2*im(b)*re(b) + 4*re (a)*im(a) + im(a*b)/*re|----------| + \im (a) + im (a) + re (a) + re (b) - im (b) - re (a) - re\a *b / - 6*im (a)*re (a) + re(a*b)/*im|----------|| + \im (a) + im (a) + re (a) + re (b) - im (b) - re (a) - re\a *b / - 6*im (a)*re (a) + re(a*b)/*re|----------| - \- im\a *b / - 4*im (a)*re(a) - 2*im(a)*re(a) + 2*im(b)*re(b) + 4*re (a)*im(a) + im(a*b)/*im|----------|
       |                                                                                            | 2        |                                                                                                   | 2        ||                                                                                                   | 2        |                                                                                               | 2        |
       \                                                                                            \a *(a + b)/                                                                                                   \a *(a + b)//                                                                                                   \a *(a + b)/                                                                                               \a *(a + b)/
x1=i((4(re⁡(a))3im⁡(a)−4re⁡(a)(im⁡(a))3−2re⁡(a)im⁡(a)+2re⁡(b)im⁡(b)+im⁡(ab)−im⁡(a2b2))re⁡(1a2(a+b))+((re⁡(a))4−6(re⁡(a))2(im⁡(a))2−(re⁡(a))2+(re⁡(b))2+re⁡(ab)−re⁡(a2b2)+(im⁡(a))4+(im⁡(a))2−(im⁡(b))2)im⁡(1a2(a+b)))−(4(re⁡(a))3im⁡(a)−4re⁡(a)(im⁡(a))3−2re⁡(a)im⁡(a)+2re⁡(b)im⁡(b)+im⁡(ab)−im⁡(a2b2))im⁡(1a2(a+b))+((re⁡(a))4−6(re⁡(a))2(im⁡(a))2−(re⁡(a))2+(re⁡(b))2+re⁡(ab)−re⁡(a2b2)+(im⁡(a))4+(im⁡(a))2−(im⁡(b))2)re⁡(1a2(a+b))x_{1} = i \left(\left(4 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 4 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 2 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 2 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)} + \operatorname{im}{\left(a b\right)} - \operatorname{im}{\left(a^{2} b^{2}\right)}\right) \operatorname{re}{\left(\frac{1}{a^{2} \left(a + b\right)}\right)} + \left(\left(\operatorname{re}{\left(a\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - \left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{re}{\left(b\right)}\right)^{2} + \operatorname{re}{\left(a b\right)} - \operatorname{re}{\left(a^{2} b^{2}\right)} + \left(\operatorname{im}{\left(a\right)}\right)^{4} + \left(\operatorname{im}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(b\right)}\right)^{2}\right) \operatorname{im}{\left(\frac{1}{a^{2} \left(a + b\right)}\right)}\right) - \left(4 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 4 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 2 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 2 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)} + \operatorname{im}{\left(a b\right)} - \operatorname{im}{\left(a^{2} b^{2}\right)}\right) \operatorname{im}{\left(\frac{1}{a^{2} \left(a + b\right)}\right)} + \left(\left(\operatorname{re}{\left(a\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - \left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{re}{\left(b\right)}\right)^{2} + \operatorname{re}{\left(a b\right)} - \operatorname{re}{\left(a^{2} b^{2}\right)} + \left(\operatorname{im}{\left(a\right)}\right)^{4} + \left(\operatorname{im}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(b\right)}\right)^{2}\right) \operatorname{re}{\left(\frac{1}{a^{2} \left(a + b\right)}\right)} 
x1 = i*((4*re(a)^3*im(a) - 4*re(a)*im(a)^3 - 2*re(a)*im(a) + 2*re(b)*im(b) + im(a*b) - im(a^2*b^2))*re(1/(a^2*(a + b))) + (re(a)^4 - 6*re(a)^2*im(a)^2 - re(a)^2 + re(b)^2 + re(a*b) - re(a^2*b^2) + im(a)^4 + im(a)^2 - im(b)^2)*im(1/(a^2*(a + b)))) - (4*re(a)^3*im(a) - 4*re(a)*im(a)^3 - 2*re(a)*im(a) + 2*re(b)*im(b) + im(a*b) - im(a^2*b^2))*im(1/(a^2*(a + b))) + (re(a)^4 - 6*re(a)^2*im(a)^2 - re(a)^2 + re(b)^2 + re(a*b) - re(a^2*b^2) + im(a)^4 + im(a)^2 - im(b)^2)*re(1/(a^2*(a + b)))
Suma y producto de raíces [src] 
suma
  //    / 2  2\       3                                                3                   \   /    1     \   /  2        4        4        2        2        2        / 2  2\       2      2             \   /    1     \\   /  2        4        4        2        2        2        / 2  2\       2      2             \   /    1     \   /    / 2  2\       3                                                3                   \   /    1     \
I*|\- im\a *b / - 4*im (a)*re(a) - 2*im(a)*re(a) + 2*im(b)*re(b) + 4*re (a)*im(a) + im(a*b)/*re|----------| + \im (a) + im (a) + re (a) + re (b) - im (b) - re (a) - re\a *b / - 6*im (a)*re (a) + re(a*b)/*im|----------|| + \im (a) + im (a) + re (a) + re (b) - im (b) - re (a) - re\a *b / - 6*im (a)*re (a) + re(a*b)/*re|----------| - \- im\a *b / - 4*im (a)*re(a) - 2*im(a)*re(a) + 2*im(b)*re(b) + 4*re (a)*im(a) + im(a*b)/*im|----------|
  |                                                                                            | 2        |                                                                                                   | 2        ||                                                                                                   | 2        |                                                                                               | 2        |
  \                                                                                            \a *(a + b)/                                                                                                   \a *(a + b)//                                                                                                   \a *(a + b)/                                                                                               \a *(a + b)/
i((4(re⁡(a))3im⁡(a)−4re⁡(a)(im⁡(a))3−2re⁡(a)im⁡(a)+2re⁡(b)im⁡(b)+im⁡(ab)−im⁡(a2b2))re⁡(1a2(a+b))+((re⁡(a))4−6(re⁡(a))2(im⁡(a))2−(re⁡(a))2+(re⁡(b))2+re⁡(ab)−re⁡(a2b2)+(im⁡(a))4+(im⁡(a))2−(im⁡(b))2)im⁡(1a2(a+b)))−(4(re⁡(a))3im⁡(a)−4re⁡(a)(im⁡(a))3−2re⁡(a)im⁡(a)+2re⁡(b)im⁡(b)+im⁡(ab)−im⁡(a2b2))im⁡(1a2(a+b))+((re⁡(a))4−6(re⁡(a))2(im⁡(a))2−(re⁡(a))2+(re⁡(b))2+re⁡(ab)−re⁡(a2b2)+(im⁡(a))4+(im⁡(a))2−(im⁡(b))2)re⁡(1a2(a+b))i \left(\left(4 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 4 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 2 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 2 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)} + \operatorname{im}{\left(a b\right)} - \operatorname{im}{\left(a^{2} b^{2}\right)}\right) \operatorname{re}{\left(\frac{1}{a^{2} \left(a + b\right)}\right)} + \left(\left(\operatorname{re}{\left(a\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - \left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{re}{\left(b\right)}\right)^{2} + \operatorname{re}{\left(a b\right)} - \operatorname{re}{\left(a^{2} b^{2}\right)} + \left(\operatorname{im}{\left(a\right)}\right)^{4} + \left(\operatorname{im}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(b\right)}\right)^{2}\right) \operatorname{im}{\left(\frac{1}{a^{2} \left(a + b\right)}\right)}\right) - \left(4 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 4 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 2 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 2 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)} + \operatorname{im}{\left(a b\right)} - \operatorname{im}{\left(a^{2} b^{2}\right)}\right) \operatorname{im}{\left(\frac{1}{a^{2} \left(a + b\right)}\right)} + \left(\left(\operatorname{re}{\left(a\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - \left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{re}{\left(b\right)}\right)^{2} + \operatorname{re}{\left(a b\right)} - \operatorname{re}{\left(a^{2} b^{2}\right)} + \left(\operatorname{im}{\left(a\right)}\right)^{4} + \left(\operatorname{im}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(b\right)}\right)^{2}\right) \operatorname{re}{\left(\frac{1}{a^{2} \left(a + b\right)}\right)} 
=
  //    / 2  2\       3                                                3                   \   /    1     \   /  2        4        4        2        2        2        / 2  2\       2      2             \   /    1     \\   /  2        4        4        2        2        2        / 2  2\       2      2             \   /    1     \   /    / 2  2\       3                                                3                   \   /    1     \
I*|\- im\a *b / - 4*im (a)*re(a) - 2*im(a)*re(a) + 2*im(b)*re(b) + 4*re (a)*im(a) + im(a*b)/*re|----------| + \im (a) + im (a) + re (a) + re (b) - im (b) - re (a) - re\a *b / - 6*im (a)*re (a) + re(a*b)/*im|----------|| + \im (a) + im (a) + re (a) + re (b) - im (b) - re (a) - re\a *b / - 6*im (a)*re (a) + re(a*b)/*re|----------| - \- im\a *b / - 4*im (a)*re(a) - 2*im(a)*re(a) + 2*im(b)*re(b) + 4*re (a)*im(a) + im(a*b)/*im|----------|
  |                                                                                            | 2        |                                                                                                   | 2        ||                                                                                                   | 2        |                                                                                               | 2        |
  \                                                                                            \a *(a + b)/                                                                                                   \a *(a + b)//                                                                                                   \a *(a + b)/                                                                                               \a *(a + b)/
i((4(re⁡(a))3im⁡(a)−4re⁡(a)(im⁡(a))3−2re⁡(a)im⁡(a)+2re⁡(b)im⁡(b)+im⁡(ab)−im⁡(a2b2))re⁡(1a2(a+b))+((re⁡(a))4−6(re⁡(a))2(im⁡(a))2−(re⁡(a))2+(re⁡(b))2+re⁡(ab)−re⁡(a2b2)+(im⁡(a))4+(im⁡(a))2−(im⁡(b))2)im⁡(1a2(a+b)))−(4(re⁡(a))3im⁡(a)−4re⁡(a)(im⁡(a))3−2re⁡(a)im⁡(a)+2re⁡(b)im⁡(b)+im⁡(ab)−im⁡(a2b2))im⁡(1a2(a+b))+((re⁡(a))4−6(re⁡(a))2(im⁡(a))2−(re⁡(a))2+(re⁡(b))2+re⁡(ab)−re⁡(a2b2)+(im⁡(a))4+(im⁡(a))2−(im⁡(b))2)re⁡(1a2(a+b))i \left(\left(4 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 4 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 2 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 2 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)} + \operatorname{im}{\left(a b\right)} - \operatorname{im}{\left(a^{2} b^{2}\right)}\right) \operatorname{re}{\left(\frac{1}{a^{2} \left(a + b\right)}\right)} + \left(\left(\operatorname{re}{\left(a\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - \left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{re}{\left(b\right)}\right)^{2} + \operatorname{re}{\left(a b\right)} - \operatorname{re}{\left(a^{2} b^{2}\right)} + \left(\operatorname{im}{\left(a\right)}\right)^{4} + \left(\operatorname{im}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(b\right)}\right)^{2}\right) \operatorname{im}{\left(\frac{1}{a^{2} \left(a + b\right)}\right)}\right) - \left(4 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 4 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 2 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 2 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)} + \operatorname{im}{\left(a b\right)} - \operatorname{im}{\left(a^{2} b^{2}\right)}\right) \operatorname{im}{\left(\frac{1}{a^{2} \left(a + b\right)}\right)} + \left(\left(\operatorname{re}{\left(a\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - \left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{re}{\left(b\right)}\right)^{2} + \operatorname{re}{\left(a b\right)} - \operatorname{re}{\left(a^{2} b^{2}\right)} + \left(\operatorname{im}{\left(a\right)}\right)^{4} + \left(\operatorname{im}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(b\right)}\right)^{2}\right) \operatorname{re}{\left(\frac{1}{a^{2} \left(a + b\right)}\right)} 
producto
  //    / 2  2\       3                                                3                   \   /    1     \   /  2        4        4        2        2        2        / 2  2\       2      2             \   /    1     \\   /  2        4        4        2        2        2        / 2  2\       2      2             \   /    1     \   /    / 2  2\       3                                                3                   \   /    1     \
I*|\- im\a *b / - 4*im (a)*re(a) - 2*im(a)*re(a) + 2*im(b)*re(b) + 4*re (a)*im(a) + im(a*b)/*re|----------| + \im (a) + im (a) + re (a) + re (b) - im (b) - re (a) - re\a *b / - 6*im (a)*re (a) + re(a*b)/*im|----------|| + \im (a) + im (a) + re (a) + re (b) - im (b) - re (a) - re\a *b / - 6*im (a)*re (a) + re(a*b)/*re|----------| - \- im\a *b / - 4*im (a)*re(a) - 2*im(a)*re(a) + 2*im(b)*re(b) + 4*re (a)*im(a) + im(a*b)/*im|----------|
  |                                                                                            | 2        |                                                                                                   | 2        ||                                                                                                   | 2        |                                                                                               | 2        |
  \                                                                                            \a *(a + b)/                                                                                                   \a *(a + b)//                                                                                                   \a *(a + b)/                                                                                               \a *(a + b)/
i((4(re⁡(a))3im⁡(a)−4re⁡(a)(im⁡(a))3−2re⁡(a)im⁡(a)+2re⁡(b)im⁡(b)+im⁡(ab)−im⁡(a2b2))re⁡(1a2(a+b))+((re⁡(a))4−6(re⁡(a))2(im⁡(a))2−(re⁡(a))2+(re⁡(b))2+re⁡(ab)−re⁡(a2b2)+(im⁡(a))4+(im⁡(a))2−(im⁡(b))2)im⁡(1a2(a+b)))−(4(re⁡(a))3im⁡(a)−4re⁡(a)(im⁡(a))3−2re⁡(a)im⁡(a)+2re⁡(b)im⁡(b)+im⁡(ab)−im⁡(a2b2))im⁡(1a2(a+b))+((re⁡(a))4−6(re⁡(a))2(im⁡(a))2−(re⁡(a))2+(re⁡(b))2+re⁡(ab)−re⁡(a2b2)+(im⁡(a))4+(im⁡(a))2−(im⁡(b))2)re⁡(1a2(a+b))i \left(\left(4 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 4 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 2 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 2 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)} + \operatorname{im}{\left(a b\right)} - \operatorname{im}{\left(a^{2} b^{2}\right)}\right) \operatorname{re}{\left(\frac{1}{a^{2} \left(a + b\right)}\right)} + \left(\left(\operatorname{re}{\left(a\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - \left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{re}{\left(b\right)}\right)^{2} + \operatorname{re}{\left(a b\right)} - \operatorname{re}{\left(a^{2} b^{2}\right)} + \left(\operatorname{im}{\left(a\right)}\right)^{4} + \left(\operatorname{im}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(b\right)}\right)^{2}\right) \operatorname{im}{\left(\frac{1}{a^{2} \left(a + b\right)}\right)}\right) - \left(4 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 4 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 2 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 2 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)} + \operatorname{im}{\left(a b\right)} - \operatorname{im}{\left(a^{2} b^{2}\right)}\right) \operatorname{im}{\left(\frac{1}{a^{2} \left(a + b\right)}\right)} + \left(\left(\operatorname{re}{\left(a\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - \left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{re}{\left(b\right)}\right)^{2} + \operatorname{re}{\left(a b\right)} - \operatorname{re}{\left(a^{2} b^{2}\right)} + \left(\operatorname{im}{\left(a\right)}\right)^{4} + \left(\operatorname{im}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(b\right)}\right)^{2}\right) \operatorname{re}{\left(\frac{1}{a^{2} \left(a + b\right)}\right)} 
=
  //    / 2  2\       3                                                3                   \   /    1     \   /  2        4        4        2        2        2        / 2  2\       2      2             \   /    1     \\   /  2        4        4        2        2        2        / 2  2\       2      2             \   /    1     \   /    / 2  2\       3                                                3                   \   /    1     \
I*|\- im\a *b / - 4*im (a)*re(a) - 2*im(a)*re(a) + 2*im(b)*re(b) + 4*re (a)*im(a) + im(a*b)/*re|----------| + \im (a) + im (a) + re (a) + re (b) - im (b) - re (a) - re\a *b / - 6*im (a)*re (a) + re(a*b)/*im|----------|| + \im (a) + im (a) + re (a) + re (b) - im (b) - re (a) - re\a *b / - 6*im (a)*re (a) + re(a*b)/*re|----------| - \- im\a *b / - 4*im (a)*re(a) - 2*im(a)*re(a) + 2*im(b)*re(b) + 4*re (a)*im(a) + im(a*b)/*im|----------|
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  \                                                                                            \a *(a + b)/                                                                                                   \a *(a + b)//                                                                                                   \a *(a + b)/                                                                                               \a *(a + b)/
i((4(re⁡(a))3im⁡(a)−4re⁡(a)(im⁡(a))3−2re⁡(a)im⁡(a)+2re⁡(b)im⁡(b)+im⁡(ab)−im⁡(a2b2))re⁡(1a2(a+b))+((re⁡(a))4−6(re⁡(a))2(im⁡(a))2−(re⁡(a))2+(re⁡(b))2+re⁡(ab)−re⁡(a2b2)+(im⁡(a))4+(im⁡(a))2−(im⁡(b))2)im⁡(1a2(a+b)))−(4(re⁡(a))3im⁡(a)−4re⁡(a)(im⁡(a))3−2re⁡(a)im⁡(a)+2re⁡(b)im⁡(b)+im⁡(ab)−im⁡(a2b2))im⁡(1a2(a+b))+((re⁡(a))4−6(re⁡(a))2(im⁡(a))2−(re⁡(a))2+(re⁡(b))2+re⁡(ab)−re⁡(a2b2)+(im⁡(a))4+(im⁡(a))2−(im⁡(b))2)re⁡(1a2(a+b))i \left(\left(4 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 4 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 2 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 2 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)} + \operatorname{im}{\left(a b\right)} - \operatorname{im}{\left(a^{2} b^{2}\right)}\right) \operatorname{re}{\left(\frac{1}{a^{2} \left(a + b\right)}\right)} + \left(\left(\operatorname{re}{\left(a\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - \left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{re}{\left(b\right)}\right)^{2} + \operatorname{re}{\left(a b\right)} - \operatorname{re}{\left(a^{2} b^{2}\right)} + \left(\operatorname{im}{\left(a\right)}\right)^{4} + \left(\operatorname{im}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(b\right)}\right)^{2}\right) \operatorname{im}{\left(\frac{1}{a^{2} \left(a + b\right)}\right)}\right) - \left(4 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 4 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 2 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 2 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)} + \operatorname{im}{\left(a b\right)} - \operatorname{im}{\left(a^{2} b^{2}\right)}\right) \operatorname{im}{\left(\frac{1}{a^{2} \left(a + b\right)}\right)} + \left(\left(\operatorname{re}{\left(a\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - \left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{re}{\left(b\right)}\right)^{2} + \operatorname{re}{\left(a b\right)} - \operatorname{re}{\left(a^{2} b^{2}\right)} + \left(\operatorname{im}{\left(a\right)}\right)^{4} + \left(\operatorname{im}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(b\right)}\right)^{2}\right) \operatorname{re}{\left(\frac{1}{a^{2} \left(a + b\right)}\right)} 
i*((-im(a^2*b^2) - 4*im(a)^3*re(a) - 2*im(a)*re(a) + 2*im(b)*re(b) + 4*re(a)^3*im(a) + im(a*b))*re(1/(a^2*(a + b))) + (im(a)^2 + im(a)^4 + re(a)^4 + re(b)^2 - im(b)^2 - re(a)^2 - re(a^2*b^2) - 6*im(a)^2*re(a)^2 + re(a*b))*im(1/(a^2*(a + b)))) + (im(a)^2 + im(a)^4 + re(a)^4 + re(b)^2 - im(b)^2 - re(a)^2 - re(a^2*b^2) - 6*im(a)^2*re(a)^2 + re(a*b))*re(1/(a^2*(a + b))) - (-im(a^2*b^2) - 4*im(a)^3*re(a) - 2*im(a)*re(a) + 2*im(b)*re(b) + 4*re(a)^3*im(a) + im(a*b))*im(1/(a^2*(a + b)))
    © Sr Examen – Калькулятор