Sr Examen
Otras calculadoras
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- La ecuación:
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Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
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Ecuación x^2+4=5x
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Ecuación x(x^2+2x+1)=6(x+1)
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Ecuación 4x+1=-3x+15
- Expresar {x} en función de y en la ecuación:
- -6*x-20*y=8
- 13*x-12*y=19
- -17*x-15*y=-17
- -9*x+11*y=9
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Expresiones idénticas
- k=(uno /((uno +r)*(e^(dos *(n+g)))))*((uno -o)*(r+s)/o*a*l+c*((e^(n+g))-(uno +r)-((r+s)/o)*(uno -o)+(g/k)))
- k es igual a (1 dividir por ((1 más r) multiplicar por (e en el grado (2 multiplicar por (n más g))))) multiplicar por ((1 menos o) multiplicar por (r más s) dividir por o multiplicar por a multiplicar por l más c multiplicar por ((e en el grado (n más g)) menos (1 más r) menos ((r más s) dividir por o) multiplicar por (1 menos o) más (g dividir por k)))
- k es igual a (uno dividir por ((uno más r) multiplicar por (e en el grado (dos multiplicar por (n más g))))) multiplicar por ((uno menos o) multiplicar por (r más s) dividir por o multiplicar por a multiplicar por l más c multiplicar por ((e en el grado (n más g)) menos (uno más r) menos ((r más s) dividir por o) multiplicar por (uno menos o) más (g dividir por k)))
- 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)))
- k=1/1+r*e2*n+g*1-o*r+s/o*a*l+c*en+g-1+r-r+s/o*1-o+g/k
- k=(1/((1+r)(e^(2(n+g)))))((1-o)(r+s)/oal+c((e^(n+g))-(1+r)-((r+s)/o)(1-o)+(g/k)))
- k=(1/((1+r)(e(2(n+g)))))((1-o)(r+s)/oal+c((e(n+g))-(1+r)-((r+s)/o)(1-o)+(g/k)))
- k=1/1+re2n+g1-or+s/oal+cen+g-1+r-r+s/o1-o+g/k
- k=1/1+re^2n+g1-or+s/oal+ce^n+g-1+r-r+s/o1-o+g/k
- k=(1 dividir por ((1+r)*(e^(2*(n+g)))))*((1-o)*(r+s) dividir por o*a*l+c*((e^(n+g))-(1+r)-((r+s) dividir por o)*(1-o)+(g dividir por k)))
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Expresiones semejantes
- 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)))
- 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)))
- 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)))
- 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)))
- 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)))
- 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)))
- 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)))
- 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)))
- 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)))
- 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)))
- 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)))
- 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)))
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😉
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
$$k = \frac{c \left(\frac{g}{k} + \left(- \frac{r + s}{o} \left(1 - o\right) + \left(e^{g + n} + \left(- r - 1\right)\right)\right)\right) + l a \frac{\left(1 - o\right) \left(r + s\right)}{o}}{e^{2 \left(g + n\right)} \left(r + 1\right)}$$
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)/
$$i \left(\left(\operatorname{re}{\left(c g o\right)} - \operatorname{re}{\left(c k o\right)} - \operatorname{re}{\left(c k r\right)} - \operatorname{re}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{re}{\left(a k l r\right)} + \operatorname{re}{\left(c k o e^{g + n}\right)} - \operatorname{re}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{re}{\left(a k l o r\right)}\right) \operatorname{im}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} + \left(\operatorname{im}{\left(c g o\right)} - \operatorname{im}{\left(c k o\right)} - \operatorname{im}{\left(c k r\right)} - \operatorname{im}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{im}{\left(a k l r\right)} + \operatorname{im}{\left(c k o e^{g + n}\right)} - \operatorname{im}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{im}{\left(a k l o r\right)}\right) \operatorname{re}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)}\right) + \left(\operatorname{re}{\left(c g o\right)} - \operatorname{re}{\left(c k o\right)} - \operatorname{re}{\left(c k r\right)} - \operatorname{re}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{re}{\left(a k l r\right)} + \operatorname{re}{\left(c k o e^{g + n}\right)} - \operatorname{re}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{re}{\left(a k l o r\right)}\right) \operatorname{re}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} - \left(\operatorname{im}{\left(c g o\right)} - \operatorname{im}{\left(c k o\right)} - \operatorname{im}{\left(c k r\right)} - \operatorname{im}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{im}{\left(a k l r\right)} + \operatorname{im}{\left(c k o e^{g + n}\right)} - \operatorname{im}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{im}{\left(a k l o r\right)}\right) \operatorname{im}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)}$$
=
// / 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)/
$$i \left(\left(\operatorname{re}{\left(c g o\right)} - \operatorname{re}{\left(c k o\right)} - \operatorname{re}{\left(c k r\right)} - \operatorname{re}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{re}{\left(a k l r\right)} + \operatorname{re}{\left(c k o e^{g + n}\right)} - \operatorname{re}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{re}{\left(a k l o r\right)}\right) \operatorname{im}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} + \left(\operatorname{im}{\left(c g o\right)} - \operatorname{im}{\left(c k o\right)} - \operatorname{im}{\left(c k r\right)} - \operatorname{im}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{im}{\left(a k l r\right)} + \operatorname{im}{\left(c k o e^{g + n}\right)} - \operatorname{im}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{im}{\left(a k l o r\right)}\right) \operatorname{re}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)}\right) + \left(\operatorname{re}{\left(c g o\right)} - \operatorname{re}{\left(c k o\right)} - \operatorname{re}{\left(c k r\right)} - \operatorname{re}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{re}{\left(a k l r\right)} + \operatorname{re}{\left(c k o e^{g + n}\right)} - \operatorname{re}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{re}{\left(a k l o r\right)}\right) \operatorname{re}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} - \left(\operatorname{im}{\left(c g o\right)} - \operatorname{im}{\left(c k o\right)} - \operatorname{im}{\left(c k r\right)} - \operatorname{im}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{im}{\left(a k l r\right)} + \operatorname{im}{\left(c k o e^{g + n}\right)} - \operatorname{im}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{im}{\left(a k l o r\right)}\right) \operatorname{im}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)}$$
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)/
$$i \left(\left(\operatorname{re}{\left(c g o\right)} - \operatorname{re}{\left(c k o\right)} - \operatorname{re}{\left(c k r\right)} - \operatorname{re}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{re}{\left(a k l r\right)} + \operatorname{re}{\left(c k o e^{g + n}\right)} - \operatorname{re}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{re}{\left(a k l o r\right)}\right) \operatorname{im}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} + \left(\operatorname{im}{\left(c g o\right)} - \operatorname{im}{\left(c k o\right)} - \operatorname{im}{\left(c k r\right)} - \operatorname{im}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{im}{\left(a k l r\right)} + \operatorname{im}{\left(c k o e^{g + n}\right)} - \operatorname{im}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{im}{\left(a k l o r\right)}\right) \operatorname{re}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)}\right) + \left(\operatorname{re}{\left(c g o\right)} - \operatorname{re}{\left(c k o\right)} - \operatorname{re}{\left(c k r\right)} - \operatorname{re}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{re}{\left(a k l r\right)} + \operatorname{re}{\left(c k o e^{g + n}\right)} - \operatorname{re}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{re}{\left(a k l o r\right)}\right) \operatorname{re}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} - \left(\operatorname{im}{\left(c g o\right)} - \operatorname{im}{\left(c k o\right)} - \operatorname{im}{\left(c k r\right)} - \operatorname{im}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{im}{\left(a k l r\right)} + \operatorname{im}{\left(c k o e^{g + n}\right)} - \operatorname{im}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{im}{\left(a k l o r\right)}\right) \operatorname{im}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)}$$
=
/ / 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)/
$$- i \left(\left(- \operatorname{re}{\left(c g o\right)} + \operatorname{re}{\left(c k o\right)} + \operatorname{re}{\left(c k r\right)} + \operatorname{re}{\left(k^{2} o e^{2 g + 2 n}\right)} - \operatorname{re}{\left(a k l r\right)} - \operatorname{re}{\left(c k o e^{g + n}\right)} + \operatorname{re}{\left(k^{2} o r e^{2 g + 2 n}\right)} + \operatorname{re}{\left(a k l o r\right)}\right) \operatorname{im}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} + \left(- \operatorname{im}{\left(c g o\right)} + \operatorname{im}{\left(c k o\right)} + \operatorname{im}{\left(c k r\right)} + \operatorname{im}{\left(k^{2} o e^{2 g + 2 n}\right)} - \operatorname{im}{\left(a k l r\right)} - \operatorname{im}{\left(c k o e^{g + n}\right)} + \operatorname{im}{\left(k^{2} o r e^{2 g + 2 n}\right)} + \operatorname{im}{\left(a k l o r\right)}\right) \operatorname{re}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)}\right) - \left(- \operatorname{re}{\left(c g o\right)} + \operatorname{re}{\left(c k o\right)} + \operatorname{re}{\left(c k r\right)} + \operatorname{re}{\left(k^{2} o e^{2 g + 2 n}\right)} - \operatorname{re}{\left(a k l r\right)} - \operatorname{re}{\left(c k o e^{g + n}\right)} + \operatorname{re}{\left(k^{2} o r e^{2 g + 2 n}\right)} + \operatorname{re}{\left(a k l o r\right)}\right) \operatorname{re}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} + \left(- \operatorname{im}{\left(c g o\right)} + \operatorname{im}{\left(c k o\right)} + \operatorname{im}{\left(c k r\right)} + \operatorname{im}{\left(k^{2} o e^{2 g + 2 n}\right)} - \operatorname{im}{\left(a k l r\right)} - \operatorname{im}{\left(c k o e^{g + n}\right)} + \operatorname{im}{\left(k^{2} o r e^{2 g + 2 n}\right)} + \operatorname{im}{\left(a k l o r\right)}\right) \operatorname{im}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)}$$
(-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)/
$$s_{1} = i \left(\left(\operatorname{re}{\left(c g o\right)} - \operatorname{re}{\left(c k o\right)} - \operatorname{re}{\left(c k r\right)} - \operatorname{re}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{re}{\left(a k l r\right)} + \operatorname{re}{\left(c k o e^{g + n}\right)} - \operatorname{re}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{re}{\left(a k l o r\right)}\right) \operatorname{im}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} + \left(\operatorname{im}{\left(c g o\right)} - \operatorname{im}{\left(c k o\right)} - \operatorname{im}{\left(c k r\right)} - \operatorname{im}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{im}{\left(a k l r\right)} + \operatorname{im}{\left(c k o e^{g + n}\right)} - \operatorname{im}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{im}{\left(a k l o r\right)}\right) \operatorname{re}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)}\right) + \left(\operatorname{re}{\left(c g o\right)} - \operatorname{re}{\left(c k o\right)} - \operatorname{re}{\left(c k r\right)} - \operatorname{re}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{re}{\left(a k l r\right)} + \operatorname{re}{\left(c k o e^{g + n}\right)} - \operatorname{re}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{re}{\left(a k l o r\right)}\right) \operatorname{re}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)} - \left(\operatorname{im}{\left(c g o\right)} - \operatorname{im}{\left(c k o\right)} - \operatorname{im}{\left(c k r\right)} - \operatorname{im}{\left(k^{2} o e^{2 g + 2 n}\right)} + \operatorname{im}{\left(a k l r\right)} + \operatorname{im}{\left(c k o e^{g + n}\right)} - \operatorname{im}{\left(k^{2} o r e^{2 g + 2 n}\right)} - \operatorname{im}{\left(a k l o r\right)}\right) \operatorname{im}{\left(\frac{1}{k \left(a l o - a l - c o + c\right)}\right)}$$
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)))