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k=(1/((1+r)*(e^(2*(n+g)))))*((1-o)*(r+s)/o*a*l+c*((e^(n+g))-(1+r)-((r+s)/o)*(1-o)+(g/k))) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

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Solución

Ha introducido [src] 
    (1 - o)*(r + s)         / n + g            r + s           g\
    ---------------*a*l + c*|E      + -1 - r - -----*(1 - o) + -|
           o                \                    o             k/
k = -------------------------------------------------------------
                                   2*(n + g)                     
                          (1 + r)*E
k=c(gk+(−r+so(1−o)+(eg+n+(−r−1))))+la(1−o)(r+s)oe2(g+n)(r+1)k = \frac{c \left(\frac{g}{k} + \left(- \frac{r + s}{o} \left(1 - o\right) + \left(e^{g + n} + \left(- r - 1\right)\right)\right)\right) + l a \frac{\left(1 - o\right) \left(r + s\right)}{o}}{e^{2 \left(g + n\right)} \left(r + 1\right)}
Simplificar
Gráfica
Suma y producto de raíces [src] 
suma
  //                           /   2  2*g + 2*n\     /     2  2*g + 2*n\                                               /       g + n\\   /            1            \   /                           /   2  2*g + 2*n\     /     2  2*g + 2*n\                                               /       g + n\\   /            1            \\   /                           /   2  2*g + 2*n\     /     2  2*g + 2*n\                                               /       g + n\\   /            1            \   /                           /   2  2*g + 2*n\     /     2  2*g + 2*n\                                               /       g + n\\   /            1            \
I*|\-im(c*k*o) - im(c*k*r) - im\o*k *e         / - im\o*r*k *e         / - im(a*k*l*o*r) + im(c*g*o) + im(a*k*l*r) + im\c*k*o*e     //*re|-------------------------| + \-re(c*k*o) - re(c*k*r) - re\o*k *e         / - re\o*r*k *e         / - re(a*k*l*o*r) + re(c*g*o) + re(a*k*l*r) + re\c*k*o*e     //*im|-------------------------|| + \-re(c*k*o) - re(c*k*r) - re\o*k *e         / - re\o*r*k *e         / - re(a*k*l*o*r) + re(c*g*o) + re(a*k*l*r) + re\c*k*o*e     //*re|-------------------------| - \-im(c*k*o) - im(c*k*r) - im\o*k *e         / - im\o*r*k *e         / - im(a*k*l*o*r) + im(c*g*o) + im(a*k*l*r) + im\c*k*o*e     //*im|-------------------------|
  \                                                                                                                                      \k*(c - a*l - c*o + a*l*o)/                                                                                                                                         \k*(c - a*l - c*o + a*l*o)//                                                                                                                                         \k*(c - a*l - c*o + a*l*o)/                                                                                                                                         \k*(c - a*l - c*o + a*l*o)/
i((re⁡(cgo)−re⁡(cko)−re⁡(ckr)−re⁡(k2oe2g+2n)+re⁡(aklr)+re⁡(ckoeg+n)−re⁡(k2ore2g+2n)−re⁡(aklor))im⁡(1k(alo−al−co+c))+(im⁡(cgo)−im⁡(cko)−im⁡(ckr)−im⁡(k2oe2g+2n)+im⁡(aklr)+im⁡(ckoeg+n)−im⁡(k2ore2g+2n)−im⁡(aklor))re⁡(1k(alo−al−co+c)))+(re⁡(cgo)−re⁡(cko)−re⁡(ckr)−re⁡(k2oe2g+2n)+re⁡(aklr)+re⁡(ckoeg+n)−re⁡(k2ore2g+2n)−re⁡(aklor))re⁡(1k(alo−al−co+c))−(im⁡(cgo)−im⁡(cko)−im⁡(ckr)−im⁡(k2oe2g+2n)+im⁡(aklr)+im⁡(ckoeg+n)−im⁡(k2ore2g+2n)−im⁡(aklor))im⁡(1k(alo−al−co+c))i \left(\left(\operatorname{re}{\left(c g o\right)} - \operatorname{re}{\left(c k o\right)} - \operatorname{re}{\left(c k r\right)} - \operatorname{re}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{re}{\left(a k l r\right)} + \operatorname{re}{\left(c k o e^{g + n}\right)} - \operatorname{re}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{re}{\left(a k l o r\right)}\right) \operatorname{im}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} + \left(\operatorname{im}{\left(c g o\right)} - \operatorname{im}{\left(c k o\right)} - \operatorname{im}{\left(c k r\right)} - \operatorname{im}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{im}{\left(a k l r\right)} + \operatorname{im}{\left(c k o e^{g + n}\right)} - \operatorname{im}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{im}{\left(a k l o r\right)}\right) \operatorname{re}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)}\right) + \left(\operatorname{re}{\left(c g o\right)} - \operatorname{re}{\left(c k o\right)} - \operatorname{re}{\left(c k r\right)} - \operatorname{re}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{re}{\left(a k l r\right)} + \operatorname{re}{\left(c k o e^{g + n}\right)} - \operatorname{re}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{re}{\left(a k l o r\right)}\right) \operatorname{re}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} - \left(\operatorname{im}{\left(c g o\right)} - \operatorname{im}{\left(c k o\right)} - \operatorname{im}{\left(c k r\right)} - \operatorname{im}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{im}{\left(a k l r\right)} + \operatorname{im}{\left(c k o e^{g + n}\right)} - \operatorname{im}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{im}{\left(a k l o r\right)}\right) \operatorname{im}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} 
=
  //                           /   2  2*g + 2*n\     /     2  2*g + 2*n\                                               /       g + n\\   /            1            \   /                           /   2  2*g + 2*n\     /     2  2*g + 2*n\                                               /       g + n\\   /            1            \\   /                           /   2  2*g + 2*n\     /     2  2*g + 2*n\                                               /       g + n\\   /            1            \   /                           /   2  2*g + 2*n\     /     2  2*g + 2*n\                                               /       g + n\\   /            1            \
I*|\-im(c*k*o) - im(c*k*r) - im\o*k *e         / - im\o*r*k *e         / - im(a*k*l*o*r) + im(c*g*o) + im(a*k*l*r) + im\c*k*o*e     //*re|-------------------------| + \-re(c*k*o) - re(c*k*r) - re\o*k *e         / - re\o*r*k *e         / - re(a*k*l*o*r) + re(c*g*o) + re(a*k*l*r) + re\c*k*o*e     //*im|-------------------------|| + \-re(c*k*o) - re(c*k*r) - re\o*k *e         / - re\o*r*k *e         / - re(a*k*l*o*r) + re(c*g*o) + re(a*k*l*r) + re\c*k*o*e     //*re|-------------------------| - \-im(c*k*o) - im(c*k*r) - im\o*k *e         / - im\o*r*k *e         / - im(a*k*l*o*r) + im(c*g*o) + im(a*k*l*r) + im\c*k*o*e     //*im|-------------------------|
  \                                                                                                                                      \k*(c - a*l - c*o + a*l*o)/                                                                                                                                         \k*(c - a*l - c*o + a*l*o)//                                                                                                                                         \k*(c - a*l - c*o + a*l*o)/                                                                                                                                         \k*(c - a*l - c*o + a*l*o)/
i((re⁡(cgo)−re⁡(cko)−re⁡(ckr)−re⁡(k2oe2g+2n)+re⁡(aklr)+re⁡(ckoeg+n)−re⁡(k2ore2g+2n)−re⁡(aklor))im⁡(1k(alo−al−co+c))+(im⁡(cgo)−im⁡(cko)−im⁡(ckr)−im⁡(k2oe2g+2n)+im⁡(aklr)+im⁡(ckoeg+n)−im⁡(k2ore2g+2n)−im⁡(aklor))re⁡(1k(alo−al−co+c)))+(re⁡(cgo)−re⁡(cko)−re⁡(ckr)−re⁡(k2oe2g+2n)+re⁡(aklr)+re⁡(ckoeg+n)−re⁡(k2ore2g+2n)−re⁡(aklor))re⁡(1k(alo−al−co+c))−(im⁡(cgo)−im⁡(cko)−im⁡(ckr)−im⁡(k2oe2g+2n)+im⁡(aklr)+im⁡(ckoeg+n)−im⁡(k2ore2g+2n)−im⁡(aklor))im⁡(1k(alo−al−co+c))i \left(\left(\operatorname{re}{\left(c g o\right)} - \operatorname{re}{\left(c k o\right)} - \operatorname{re}{\left(c k r\right)} - \operatorname{re}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{re}{\left(a k l r\right)} + \operatorname{re}{\left(c k o e^{g + n}\right)} - \operatorname{re}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{re}{\left(a k l o r\right)}\right) \operatorname{im}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} + \left(\operatorname{im}{\left(c g o\right)} - \operatorname{im}{\left(c k o\right)} - \operatorname{im}{\left(c k r\right)} - \operatorname{im}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{im}{\left(a k l r\right)} + \operatorname{im}{\left(c k o e^{g + n}\right)} - \operatorname{im}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{im}{\left(a k l o r\right)}\right) \operatorname{re}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)}\right) + \left(\operatorname{re}{\left(c g o\right)} - \operatorname{re}{\left(c k o\right)} - \operatorname{re}{\left(c k r\right)} - \operatorname{re}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{re}{\left(a k l r\right)} + \operatorname{re}{\left(c k o e^{g + n}\right)} - \operatorname{re}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{re}{\left(a k l o r\right)}\right) \operatorname{re}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} - \left(\operatorname{im}{\left(c g o\right)} - \operatorname{im}{\left(c k o\right)} - \operatorname{im}{\left(c k r\right)} - \operatorname{im}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{im}{\left(a k l r\right)} + \operatorname{im}{\left(c k o e^{g + n}\right)} - \operatorname{im}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{im}{\left(a k l o r\right)}\right) \operatorname{im}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} 
producto
  //                           /   2  2*g + 2*n\     /     2  2*g + 2*n\                                               /       g + n\\   /            1            \   /                           /   2  2*g + 2*n\     /     2  2*g + 2*n\                                               /       g + n\\   /            1            \\   /                           /   2  2*g + 2*n\     /     2  2*g + 2*n\                                               /       g + n\\   /            1            \   /                           /   2  2*g + 2*n\     /     2  2*g + 2*n\                                               /       g + n\\   /            1            \
I*|\-im(c*k*o) - im(c*k*r) - im\o*k *e         / - im\o*r*k *e         / - im(a*k*l*o*r) + im(c*g*o) + im(a*k*l*r) + im\c*k*o*e     //*re|-------------------------| + \-re(c*k*o) - re(c*k*r) - re\o*k *e         / - re\o*r*k *e         / - re(a*k*l*o*r) + re(c*g*o) + re(a*k*l*r) + re\c*k*o*e     //*im|-------------------------|| + \-re(c*k*o) - re(c*k*r) - re\o*k *e         / - re\o*r*k *e         / - re(a*k*l*o*r) + re(c*g*o) + re(a*k*l*r) + re\c*k*o*e     //*re|-------------------------| - \-im(c*k*o) - im(c*k*r) - im\o*k *e         / - im\o*r*k *e         / - im(a*k*l*o*r) + im(c*g*o) + im(a*k*l*r) + im\c*k*o*e     //*im|-------------------------|
  \                                                                                                                                      \k*(c - a*l - c*o + a*l*o)/                                                                                                                                         \k*(c - a*l - c*o + a*l*o)//                                                                                                                                         \k*(c - a*l - c*o + a*l*o)/                                                                                                                                         \k*(c - a*l - c*o + a*l*o)/
i((re⁡(cgo)−re⁡(cko)−re⁡(ckr)−re⁡(k2oe2g+2n)+re⁡(aklr)+re⁡(ckoeg+n)−re⁡(k2ore2g+2n)−re⁡(aklor))im⁡(1k(alo−al−co+c))+(im⁡(cgo)−im⁡(cko)−im⁡(ckr)−im⁡(k2oe2g+2n)+im⁡(aklr)+im⁡(ckoeg+n)−im⁡(k2ore2g+2n)−im⁡(aklor))re⁡(1k(alo−al−co+c)))+(re⁡(cgo)−re⁡(cko)−re⁡(ckr)−re⁡(k2oe2g+2n)+re⁡(aklr)+re⁡(ckoeg+n)−re⁡(k2ore2g+2n)−re⁡(aklor))re⁡(1k(alo−al−co+c))−(im⁡(cgo)−im⁡(cko)−im⁡(ckr)−im⁡(k2oe2g+2n)+im⁡(aklr)+im⁡(ckoeg+n)−im⁡(k2ore2g+2n)−im⁡(aklor))im⁡(1k(alo−al−co+c))i \left(\left(\operatorname{re}{\left(c g o\right)} - \operatorname{re}{\left(c k o\right)} - \operatorname{re}{\left(c k r\right)} - \operatorname{re}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{re}{\left(a k l r\right)} + \operatorname{re}{\left(c k o e^{g + n}\right)} - \operatorname{re}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{re}{\left(a k l o r\right)}\right) \operatorname{im}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} + \left(\operatorname{im}{\left(c g o\right)} - \operatorname{im}{\left(c k o\right)} - \operatorname{im}{\left(c k r\right)} - \operatorname{im}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{im}{\left(a k l r\right)} + \operatorname{im}{\left(c k o e^{g + n}\right)} - \operatorname{im}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{im}{\left(a k l o r\right)}\right) \operatorname{re}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)}\right) + \left(\operatorname{re}{\left(c g o\right)} - \operatorname{re}{\left(c k o\right)} - \operatorname{re}{\left(c k r\right)} - \operatorname{re}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{re}{\left(a k l r\right)} + \operatorname{re}{\left(c k o e^{g + n}\right)} - \operatorname{re}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{re}{\left(a k l o r\right)}\right) \operatorname{re}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} - \left(\operatorname{im}{\left(c g o\right)} - \operatorname{im}{\left(c k o\right)} - \operatorname{im}{\left(c k r\right)} - \operatorname{im}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{im}{\left(a k l r\right)} + \operatorname{im}{\left(c k o e^{g + n}\right)} - \operatorname{im}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{im}{\left(a k l o r\right)}\right) \operatorname{im}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} 
=
/                             /       g + n\                             /   2  2*g + 2*n\     /     2  2*g + 2*n\                \   /            1            \     //                             /       g + n\                             /   2  2*g + 2*n\     /     2  2*g + 2*n\                \   /            1            \   /                             /       g + n\                             /   2  2*g + 2*n\     /     2  2*g + 2*n\                \   /            1            \\   /                             /       g + n\                             /   2  2*g + 2*n\     /     2  2*g + 2*n\                \   /            1            \
\-im(c*g*o) - im(a*k*l*r) - im\c*k*o*e     / + im(c*k*o) + im(c*k*r) + im\o*k *e         / + im\o*r*k *e         / + im(a*k*l*o*r)/*im|-------------------------| - I*|\-im(c*g*o) - im(a*k*l*r) - im\c*k*o*e     / + im(c*k*o) + im(c*k*r) + im\o*k *e         / + im\o*r*k *e         / + im(a*k*l*o*r)/*re|-------------------------| + \-re(c*g*o) - re(a*k*l*r) - re\c*k*o*e     / + re(c*k*o) + re(c*k*r) + re\o*k *e         / + re\o*r*k *e         / + re(a*k*l*o*r)/*im|-------------------------|| - \-re(c*g*o) - re(a*k*l*r) - re\c*k*o*e     / + re(c*k*o) + re(c*k*r) + re\o*k *e         / + re\o*r*k *e         / + re(a*k*l*o*r)/*re|-------------------------|
                                                                                                                                      \k*(c - a*l - c*o + a*l*o)/     \                                                                                                                                      \k*(c - a*l - c*o + a*l*o)/                                                                                                                                         \k*(c - a*l - c*o + a*l*o)//                                                                                                                                         \k*(c - a*l - c*o + a*l*o)/
−i((−re⁡(cgo)+re⁡(cko)+re⁡(ckr)+re⁡(k2oe2g+2n)−re⁡(aklr)−re⁡(ckoeg+n)+re⁡(k2ore2g+2n)+re⁡(aklor))im⁡(1k(alo−al−co+c))+(−im⁡(cgo)+im⁡(cko)+im⁡(ckr)+im⁡(k2oe2g+2n)−im⁡(aklr)−im⁡(ckoeg+n)+im⁡(k2ore2g+2n)+im⁡(aklor))re⁡(1k(alo−al−co+c)))−(−re⁡(cgo)+re⁡(cko)+re⁡(ckr)+re⁡(k2oe2g+2n)−re⁡(aklr)−re⁡(ckoeg+n)+re⁡(k2ore2g+2n)+re⁡(aklor))re⁡(1k(alo−al−co+c))+(−im⁡(cgo)+im⁡(cko)+im⁡(ckr)+im⁡(k2oe2g+2n)−im⁡(aklr)−im⁡(ckoeg+n)+im⁡(k2ore2g+2n)+im⁡(aklor))im⁡(1k(alo−al−co+c))- i \left(\left(- \operatorname{re}{\left(c g o\right)} + \operatorname{re}{\left(c k o\right)} + \operatorname{re}{\left(c k r\right)} + \operatorname{re}{\left(k^{2} o e^{2 g + 2 n}\right)} - \operatorname{re}{\left(a k l r\right)} - \operatorname{re}{\left(c k o e^{g + n}\right)} + \operatorname{re}{\left(k^{2} o r e^{2 g + 2 n}\right)} + \operatorname{re}{\left(a k l o r\right)}\right) \operatorname{im}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} + \left(- \operatorname{im}{\left(c g o\right)} + \operatorname{im}{\left(c k o\right)} + \operatorname{im}{\left(c k r\right)} + \operatorname{im}{\left(k^{2} o e^{2 g + 2 n}\right)} - \operatorname{im}{\left(a k l r\right)} - \operatorname{im}{\left(c k o e^{g + n}\right)} + \operatorname{im}{\left(k^{2} o r e^{2 g + 2 n}\right)} + \operatorname{im}{\left(a k l o r\right)}\right) \operatorname{re}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)}\right) - \left(- \operatorname{re}{\left(c g o\right)} + \operatorname{re}{\left(c k o\right)} + \operatorname{re}{\left(c k r\right)} + \operatorname{re}{\left(k^{2} o e^{2 g + 2 n}\right)} - \operatorname{re}{\left(a k l r\right)} - \operatorname{re}{\left(c k o e^{g + n}\right)} + \operatorname{re}{\left(k^{2} o r e^{2 g + 2 n}\right)} + \operatorname{re}{\left(a k l o r\right)}\right) \operatorname{re}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} + \left(- \operatorname{im}{\left(c g o\right)} + \operatorname{im}{\left(c k o\right)} + \operatorname{im}{\left(c k r\right)} + \operatorname{im}{\left(k^{2} o e^{2 g + 2 n}\right)} - \operatorname{im}{\left(a k l r\right)} - \operatorname{im}{\left(c k o e^{g + n}\right)} + \operatorname{im}{\left(k^{2} o r e^{2 g + 2 n}\right)} + \operatorname{im}{\left(a k l o r\right)}\right) \operatorname{im}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} 
(-im(c*g*o) - im(a*k*l*r) - im(c*k*o*exp(g + n)) + im(c*k*o) + im(c*k*r) + im(o*k^2*exp(2*g + 2*n)) + im(o*r*k^2*exp(2*g + 2*n)) + im(a*k*l*o*r))*im(1/(k*(c - a*l - c*o + a*l*o))) - i*((-im(c*g*o) - im(a*k*l*r) - im(c*k*o*exp(g + n)) + im(c*k*o) + im(c*k*r) + im(o*k^2*exp(2*g + 2*n)) + im(o*r*k^2*exp(2*g + 2*n)) + im(a*k*l*o*r))*re(1/(k*(c - a*l - c*o + a*l*o))) + (-re(c*g*o) - re(a*k*l*r) - re(c*k*o*exp(g + n)) + re(c*k*o) + re(c*k*r) + re(o*k^2*exp(2*g + 2*n)) + re(o*r*k^2*exp(2*g + 2*n)) + re(a*k*l*o*r))*im(1/(k*(c - a*l - c*o + a*l*o)))) - (-re(c*g*o) - re(a*k*l*r) - re(c*k*o*exp(g + n)) + re(c*k*o) + re(c*k*r) + re(o*k^2*exp(2*g + 2*n)) + re(o*r*k^2*exp(2*g + 2*n)) + re(a*k*l*o*r))*re(1/(k*(c - a*l - c*o + a*l*o)))
Respuesta rápida [src] 
       //                           /   2  2*g + 2*n\     /     2  2*g + 2*n\                                               /       g + n\\   /            1            \   /                           /   2  2*g + 2*n\     /     2  2*g + 2*n\                                               /       g + n\\   /            1            \\   /                           /   2  2*g + 2*n\     /     2  2*g + 2*n\                                               /       g + n\\   /            1            \   /                           /   2  2*g + 2*n\     /     2  2*g + 2*n\                                               /       g + n\\   /            1            \
s1 = I*|\-im(c*k*o) - im(c*k*r) - im\o*k *e         / - im\o*r*k *e         / - im(a*k*l*o*r) + im(c*g*o) + im(a*k*l*r) + im\c*k*o*e     //*re|-------------------------| + \-re(c*k*o) - re(c*k*r) - re\o*k *e         / - re\o*r*k *e         / - re(a*k*l*o*r) + re(c*g*o) + re(a*k*l*r) + re\c*k*o*e     //*im|-------------------------|| + \-re(c*k*o) - re(c*k*r) - re\o*k *e         / - re\o*r*k *e         / - re(a*k*l*o*r) + re(c*g*o) + re(a*k*l*r) + re\c*k*o*e     //*re|-------------------------| - \-im(c*k*o) - im(c*k*r) - im\o*k *e         / - im\o*r*k *e         / - im(a*k*l*o*r) + im(c*g*o) + im(a*k*l*r) + im\c*k*o*e     //*im|-------------------------|
       \                                                                                                                                      \k*(c - a*l - c*o + a*l*o)/                                                                                                                                         \k*(c - a*l - c*o + a*l*o)//                                                                                                                                         \k*(c - a*l - c*o + a*l*o)/                                                                                                                                         \k*(c - a*l - c*o + a*l*o)/
s1=i((re⁡(cgo)−re⁡(cko)−re⁡(ckr)−re⁡(k2oe2g+2n)+re⁡(aklr)+re⁡(ckoeg+n)−re⁡(k2ore2g+2n)−re⁡(aklor))im⁡(1k(alo−al−co+c))+(im⁡(cgo)−im⁡(cko)−im⁡(ckr)−im⁡(k2oe2g+2n)+im⁡(aklr)+im⁡(ckoeg+n)−im⁡(k2ore2g+2n)−im⁡(aklor))re⁡(1k(alo−al−co+c)))+(re⁡(cgo)−re⁡(cko)−re⁡(ckr)−re⁡(k2oe2g+2n)+re⁡(aklr)+re⁡(ckoeg+n)−re⁡(k2ore2g+2n)−re⁡(aklor))re⁡(1k(alo−al−co+c))−(im⁡(cgo)−im⁡(cko)−im⁡(ckr)−im⁡(k2oe2g+2n)+im⁡(aklr)+im⁡(ckoeg+n)−im⁡(k2ore2g+2n)−im⁡(aklor))im⁡(1k(alo−al−co+c))s_{1} = i \left(\left(\operatorname{re}{\left(c g o\right)} - \operatorname{re}{\left(c k o\right)} - \operatorname{re}{\left(c k r\right)} - \operatorname{re}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{re}{\left(a k l r\right)} + \operatorname{re}{\left(c k o e^{g + n}\right)} - \operatorname{re}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{re}{\left(a k l o r\right)}\right) \operatorname{im}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} + \left(\operatorname{im}{\left(c g o\right)} - \operatorname{im}{\left(c k o\right)} - \operatorname{im}{\left(c k r\right)} - \operatorname{im}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{im}{\left(a k l r\right)} + \operatorname{im}{\left(c k o e^{g + n}\right)} - \operatorname{im}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{im}{\left(a k l o r\right)}\right) \operatorname{re}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)}\right) + \left(\operatorname{re}{\left(c g o\right)} - \operatorname{re}{\left(c k o\right)} - \operatorname{re}{\left(c k r\right)} - \operatorname{re}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{re}{\left(a k l r\right)} + \operatorname{re}{\left(c k o e^{g + n}\right)} - \operatorname{re}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{re}{\left(a k l o r\right)}\right) \operatorname{re}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} - \left(\operatorname{im}{\left(c g o\right)} - \operatorname{im}{\left(c k o\right)} - \operatorname{im}{\left(c k r\right)} - \operatorname{im}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{im}{\left(a k l r\right)} + \operatorname{im}{\left(c k o e^{g + n}\right)} - \operatorname{im}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{im}{\left(a k l o r\right)}\right) \operatorname{im}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} 
s1 = i*((re(c*g*o) - re(c*k*o) - re(c*k*r) - re(k^2*o*exp(2*g + 2*n)) + re(a*k*l*r) + re(c*k*o*exp(g + n)) - re(k^2*o*r*exp(2*g + 2*n)) - re(a*k*l*o*r))*im(1/(k*(a*l*o - a*l - c*o + c))) + (im(c*g*o) - im(c*k*o) - im(c*k*r) - im(k^2*o*exp(2*g + 2*n)) + im(a*k*l*r) + im(c*k*o*exp(g + n)) - im(k^2*o*r*exp(2*g + 2*n)) - im(a*k*l*o*r))*re(1/(k*(a*l*o - a*l - c*o + c)))) + (re(c*g*o) - re(c*k*o) - re(c*k*r) - re(k^2*o*exp(2*g + 2*n)) + re(a*k*l*r) + re(c*k*o*exp(g + n)) - re(k^2*o*r*exp(2*g + 2*n)) - re(a*k*l*o*r))*re(1/(k*(a*l*o - a*l - c*o + c))) - (im(c*g*o) - im(c*k*o) - im(c*k*r) - im(k^2*o*exp(2*g + 2*n)) + im(a*k*l*r) + im(c*k*o*exp(g + n)) - im(k^2*o*r*exp(2*g + 2*n)) - im(a*k*l*o*r))*im(1/(k*(a*l*o - a*l - c*o + c)))
    © Sr Examen – Калькулятор