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x0*676+x1*402+x2*1325+x3*1281+x4*735+x5*114+x6*1264+x7*1265+x8*113+x9*605+x10*223+x11*889+x12*448+x13*1065+x14*684=794972 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src] 
x0*676 + x1*402 + x2*1325 + x3*1281 + x4*735 + x5*114 + x6*1264 + x7*1265 + x8*113 + x9*605 + x10*223 + x11*889 + x12*448 + x13*1065 + x14*684 = 794972
$$684 x_{14} + \left(1065 x_{13} + \left(448 x_{12} + \left(889 x_{11} + \left(223 x_{10} + \left(605 x_{9} + \left(113 x_{8} + \left(1265 x_{7} + \left(1264 x_{6} + \left(114 x_{5} + \left(735 x_{4} + \left(1281 x_{3} + \left(1325 x_{2} + \left(676 x_{0} + 402 x_{1}\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right) = 794972$$
Simplificar
Solución detallada
Tenemos una ecuación lineal:
x0*676+x1*402+x2*1325+x3*1281+x4*735+x5*114+x6*1264+x7*1265+x8*113+x9*605+x10*223+x11*889+x12*448+x13*1065+x14*684 = 794972

Sumamos los términos semejantes en el miembro izquierdo de la ecuación:
113*x8 + 114*x5 + 223*x10 + 402*x1 + 448*x12 + 605*x9 + 676*x0 + 684*x14 + 735*x4 + 889*x11 + 1065*x13 + 1264*x6 + 1265*x7 + 1281*x3 + 1325*x2 = 794972

Move the summands with the other variables
del miembro izquierdo al derecho, obtenemos:
$$676 x_{0} + 402 x_{1} + 223 x_{10} + 889 x_{11} + 448 x_{12} + 1065 x_{13} + 684 x_{14} + 1325 x_{2} + 1281 x_{3} + 735 x_{4} + 114 x_{5} + 1264 x_{6} + 1265 x_{7} + 605 x_{9} = 794972 - 113 x_{8}$$
Dividamos ambos miembros de la ecuación en (114*x5 + 223*x10 + 402*x1 + 448*x12 + 605*x9 + 676*x0 + 684*x14 + 735*x4 + 889*x11 + 1065*x13 + 1264*x6 + 1265*x7 + 1281*x3 + 1325*x2)/x9
x9 = 794972 - 113*x8 / ((114*x5 + 223*x10 + 402*x1 + 448*x12 + 605*x9 + 676*x0 + 684*x14 + 735*x4 + 889*x11 + 1065*x13 + 1264*x6 + 1265*x7 + 1281*x3 + 1325*x2)/x9)

Obtenemos la respuesta: x9 = 794972/605 - 1281*x3/605 - 1264*x6/605 - 889*x11/605 - 684*x14/605 - 676*x0/605 - 448*x12/605 - 402*x1/605 - 265*x2/121 - 223*x10/605 - 213*x13/121 - 147*x4/121 - 114*x5/605 - 113*x8/605 - 23*x7/11
Gráfica
Respuesta rápida [src] 
      794972   1281*re(x3)   1264*re(x6)   889*re(x11)   684*re(x14)   676*re(x0)   448*re(x12)   402*re(x1)   265*re(x2)   223*re(x10)   213*re(x13)   147*re(x4)   114*re(x5)   113*re(x8)   23*re(x7)     /  1281*im(x3)   1264*im(x6)   889*im(x11)   684*im(x14)   676*im(x0)   448*im(x12)   402*im(x1)   265*im(x2)   223*im(x10)   213*im(x13)   147*im(x4)   114*im(x5)   113*im(x8)   23*im(x7)\
x91 = ------ - ----------- - ----------- - ----------- - ----------- - ---------- - ----------- - ---------- - ---------- - ----------- - ----------- - ---------- - ---------- - ---------- - --------- + I*|- ----------- - ----------- - ----------- - ----------- - ---------- - ----------- - ---------- - ---------- - ----------- - ----------- - ---------- - ---------- - ---------- - ---------|
       605         605           605           605           605          605           605          605          121           605           121          121          605          605           11        \      605           605           605           605          605           605          605          121           605           121          121          605          605           11   /
$$x_{91} = i \left(- \frac{676 \operatorname{im}{\left(x_{0}\right)}}{605} - \frac{402 \operatorname{im}{\left(x_{1}\right)}}{605} - \frac{223 \operatorname{im}{\left(x_{10}\right)}}{605} - \frac{889 \operatorname{im}{\left(x_{11}\right)}}{605} - \frac{448 \operatorname{im}{\left(x_{12}\right)}}{605} - \frac{213 \operatorname{im}{\left(x_{13}\right)}}{121} - \frac{684 \operatorname{im}{\left(x_{14}\right)}}{605} - \frac{265 \operatorname{im}{\left(x_{2}\right)}}{121} - \frac{1281 \operatorname{im}{\left(x_{3}\right)}}{605} - \frac{147 \operatorname{im}{\left(x_{4}\right)}}{121} - \frac{114 \operatorname{im}{\left(x_{5}\right)}}{605} - \frac{1264 \operatorname{im}{\left(x_{6}\right)}}{605} - \frac{23 \operatorname{im}{\left(x_{7}\right)}}{11} - \frac{113 \operatorname{im}{\left(x_{8}\right)}}{605}\right) - \frac{676 \operatorname{re}{\left(x_{0}\right)}}{605} - \frac{402 \operatorname{re}{\left(x_{1}\right)}}{605} - \frac{223 \operatorname{re}{\left(x_{10}\right)}}{605} - \frac{889 \operatorname{re}{\left(x_{11}\right)}}{605} - \frac{448 \operatorname{re}{\left(x_{12}\right)}}{605} - \frac{213 \operatorname{re}{\left(x_{13}\right)}}{121} - \frac{684 \operatorname{re}{\left(x_{14}\right)}}{605} - \frac{265 \operatorname{re}{\left(x_{2}\right)}}{121} - \frac{1281 \operatorname{re}{\left(x_{3}\right)}}{605} - \frac{147 \operatorname{re}{\left(x_{4}\right)}}{121} - \frac{114 \operatorname{re}{\left(x_{5}\right)}}{605} - \frac{1264 \operatorname{re}{\left(x_{6}\right)}}{605} - \frac{23 \operatorname{re}{\left(x_{7}\right)}}{11} - \frac{113 \operatorname{re}{\left(x_{8}\right)}}{605} + \frac{794972}{605}$$ 
x91 = i*(-676*im(x0)/605 - 402*im(x1)/605 - 223*im(x10)/605 - 889*im(x11)/605 - 448*im(x12)/605 - 213*im(x13)/121 - 684*im(x14)/605 - 265*im(x2)/121 - 1281*im(x3)/605 - 147*im(x4)/121 - 114*im(x5)/605 - 1264*im(x6)/605 - 23*im(x7)/11 - 113*im(x8)/605) - 676*re(x0)/605 - 402*re(x1)/605 - 223*re(x10)/605 - 889*re(x11)/605 - 448*re(x12)/605 - 213*re(x13)/121 - 684*re(x14)/605 - 265*re(x2)/121 - 1281*re(x3)/605 - 147*re(x4)/121 - 114*re(x5)/605 - 1264*re(x6)/605 - 23*re(x7)/11 - 113*re(x8)/605 + 794972/605
Suma y producto de raíces [src] 
suma
794972   1281*re(x3)   1264*re(x6)   889*re(x11)   684*re(x14)   676*re(x0)   448*re(x12)   402*re(x1)   265*re(x2)   223*re(x10)   213*re(x13)   147*re(x4)   114*re(x5)   113*re(x8)   23*re(x7)     /  1281*im(x3)   1264*im(x6)   889*im(x11)   684*im(x14)   676*im(x0)   448*im(x12)   402*im(x1)   265*im(x2)   223*im(x10)   213*im(x13)   147*im(x4)   114*im(x5)   113*im(x8)   23*im(x7)\
------ - ----------- - ----------- - ----------- - ----------- - ---------- - ----------- - ---------- - ---------- - ----------- - ----------- - ---------- - ---------- - ---------- - --------- + I*|- ----------- - ----------- - ----------- - ----------- - ---------- - ----------- - ---------- - ---------- - ----------- - ----------- - ---------- - ---------- - ---------- - ---------|
 605         605           605           605           605          605           605          605          121           605           121          121          605          605           11        \      605           605           605           605          605           605          605          121           605           121          121          605          605           11   /
$$i \left(- \frac{676 \operatorname{im}{\left(x_{0}\right)}}{605} - \frac{402 \operatorname{im}{\left(x_{1}\right)}}{605} - \frac{223 \operatorname{im}{\left(x_{10}\right)}}{605} - \frac{889 \operatorname{im}{\left(x_{11}\right)}}{605} - \frac{448 \operatorname{im}{\left(x_{12}\right)}}{605} - \frac{213 \operatorname{im}{\left(x_{13}\right)}}{121} - \frac{684 \operatorname{im}{\left(x_{14}\right)}}{605} - \frac{265 \operatorname{im}{\left(x_{2}\right)}}{121} - \frac{1281 \operatorname{im}{\left(x_{3}\right)}}{605} - \frac{147 \operatorname{im}{\left(x_{4}\right)}}{121} - \frac{114 \operatorname{im}{\left(x_{5}\right)}}{605} - \frac{1264 \operatorname{im}{\left(x_{6}\right)}}{605} - \frac{23 \operatorname{im}{\left(x_{7}\right)}}{11} - \frac{113 \operatorname{im}{\left(x_{8}\right)}}{605}\right) - \frac{676 \operatorname{re}{\left(x_{0}\right)}}{605} - \frac{402 \operatorname{re}{\left(x_{1}\right)}}{605} - \frac{223 \operatorname{re}{\left(x_{10}\right)}}{605} - \frac{889 \operatorname{re}{\left(x_{11}\right)}}{605} - \frac{448 \operatorname{re}{\left(x_{12}\right)}}{605} - \frac{213 \operatorname{re}{\left(x_{13}\right)}}{121} - \frac{684 \operatorname{re}{\left(x_{14}\right)}}{605} - \frac{265 \operatorname{re}{\left(x_{2}\right)}}{121} - \frac{1281 \operatorname{re}{\left(x_{3}\right)}}{605} - \frac{147 \operatorname{re}{\left(x_{4}\right)}}{121} - \frac{114 \operatorname{re}{\left(x_{5}\right)}}{605} - \frac{1264 \operatorname{re}{\left(x_{6}\right)}}{605} - \frac{23 \operatorname{re}{\left(x_{7}\right)}}{11} - \frac{113 \operatorname{re}{\left(x_{8}\right)}}{605} + \frac{794972}{605}$$ 
=
794972   1281*re(x3)   1264*re(x6)   889*re(x11)   684*re(x14)   676*re(x0)   448*re(x12)   402*re(x1)   265*re(x2)   223*re(x10)   213*re(x13)   147*re(x4)   114*re(x5)   113*re(x8)   23*re(x7)     /  1281*im(x3)   1264*im(x6)   889*im(x11)   684*im(x14)   676*im(x0)   448*im(x12)   402*im(x1)   265*im(x2)   223*im(x10)   213*im(x13)   147*im(x4)   114*im(x5)   113*im(x8)   23*im(x7)\
------ - ----------- - ----------- - ----------- - ----------- - ---------- - ----------- - ---------- - ---------- - ----------- - ----------- - ---------- - ---------- - ---------- - --------- + I*|- ----------- - ----------- - ----------- - ----------- - ---------- - ----------- - ---------- - ---------- - ----------- - ----------- - ---------- - ---------- - ---------- - ---------|
 605         605           605           605           605          605           605          605          121           605           121          121          605          605           11        \      605           605           605           605          605           605          605          121           605           121          121          605          605           11   /
$$i \left(- \frac{676 \operatorname{im}{\left(x_{0}\right)}}{605} - \frac{402 \operatorname{im}{\left(x_{1}\right)}}{605} - \frac{223 \operatorname{im}{\left(x_{10}\right)}}{605} - \frac{889 \operatorname{im}{\left(x_{11}\right)}}{605} - \frac{448 \operatorname{im}{\left(x_{12}\right)}}{605} - \frac{213 \operatorname{im}{\left(x_{13}\right)}}{121} - \frac{684 \operatorname{im}{\left(x_{14}\right)}}{605} - \frac{265 \operatorname{im}{\left(x_{2}\right)}}{121} - \frac{1281 \operatorname{im}{\left(x_{3}\right)}}{605} - \frac{147 \operatorname{im}{\left(x_{4}\right)}}{121} - \frac{114 \operatorname{im}{\left(x_{5}\right)}}{605} - \frac{1264 \operatorname{im}{\left(x_{6}\right)}}{605} - \frac{23 \operatorname{im}{\left(x_{7}\right)}}{11} - \frac{113 \operatorname{im}{\left(x_{8}\right)}}{605}\right) - \frac{676 \operatorname{re}{\left(x_{0}\right)}}{605} - \frac{402 \operatorname{re}{\left(x_{1}\right)}}{605} - \frac{223 \operatorname{re}{\left(x_{10}\right)}}{605} - \frac{889 \operatorname{re}{\left(x_{11}\right)}}{605} - \frac{448 \operatorname{re}{\left(x_{12}\right)}}{605} - \frac{213 \operatorname{re}{\left(x_{13}\right)}}{121} - \frac{684 \operatorname{re}{\left(x_{14}\right)}}{605} - \frac{265 \operatorname{re}{\left(x_{2}\right)}}{121} - \frac{1281 \operatorname{re}{\left(x_{3}\right)}}{605} - \frac{147 \operatorname{re}{\left(x_{4}\right)}}{121} - \frac{114 \operatorname{re}{\left(x_{5}\right)}}{605} - \frac{1264 \operatorname{re}{\left(x_{6}\right)}}{605} - \frac{23 \operatorname{re}{\left(x_{7}\right)}}{11} - \frac{113 \operatorname{re}{\left(x_{8}\right)}}{605} + \frac{794972}{605}$$ 
producto
794972   1281*re(x3)   1264*re(x6)   889*re(x11)   684*re(x14)   676*re(x0)   448*re(x12)   402*re(x1)   265*re(x2)   223*re(x10)   213*re(x13)   147*re(x4)   114*re(x5)   113*re(x8)   23*re(x7)     /  1281*im(x3)   1264*im(x6)   889*im(x11)   684*im(x14)   676*im(x0)   448*im(x12)   402*im(x1)   265*im(x2)   223*im(x10)   213*im(x13)   147*im(x4)   114*im(x5)   113*im(x8)   23*im(x7)\
------ - ----------- - ----------- - ----------- - ----------- - ---------- - ----------- - ---------- - ---------- - ----------- - ----------- - ---------- - ---------- - ---------- - --------- + I*|- ----------- - ----------- - ----------- - ----------- - ---------- - ----------- - ---------- - ---------- - ----------- - ----------- - ---------- - ---------- - ---------- - ---------|
 605         605           605           605           605          605           605          605          121           605           121          121          605          605           11        \      605           605           605           605          605           605          605          121           605           121          121          605          605           11   /
$$i \left(- \frac{676 \operatorname{im}{\left(x_{0}\right)}}{605} - \frac{402 \operatorname{im}{\left(x_{1}\right)}}{605} - \frac{223 \operatorname{im}{\left(x_{10}\right)}}{605} - \frac{889 \operatorname{im}{\left(x_{11}\right)}}{605} - \frac{448 \operatorname{im}{\left(x_{12}\right)}}{605} - \frac{213 \operatorname{im}{\left(x_{13}\right)}}{121} - \frac{684 \operatorname{im}{\left(x_{14}\right)}}{605} - \frac{265 \operatorname{im}{\left(x_{2}\right)}}{121} - \frac{1281 \operatorname{im}{\left(x_{3}\right)}}{605} - \frac{147 \operatorname{im}{\left(x_{4}\right)}}{121} - \frac{114 \operatorname{im}{\left(x_{5}\right)}}{605} - \frac{1264 \operatorname{im}{\left(x_{6}\right)}}{605} - \frac{23 \operatorname{im}{\left(x_{7}\right)}}{11} - \frac{113 \operatorname{im}{\left(x_{8}\right)}}{605}\right) - \frac{676 \operatorname{re}{\left(x_{0}\right)}}{605} - \frac{402 \operatorname{re}{\left(x_{1}\right)}}{605} - \frac{223 \operatorname{re}{\left(x_{10}\right)}}{605} - \frac{889 \operatorname{re}{\left(x_{11}\right)}}{605} - \frac{448 \operatorname{re}{\left(x_{12}\right)}}{605} - \frac{213 \operatorname{re}{\left(x_{13}\right)}}{121} - \frac{684 \operatorname{re}{\left(x_{14}\right)}}{605} - \frac{265 \operatorname{re}{\left(x_{2}\right)}}{121} - \frac{1281 \operatorname{re}{\left(x_{3}\right)}}{605} - \frac{147 \operatorname{re}{\left(x_{4}\right)}}{121} - \frac{114 \operatorname{re}{\left(x_{5}\right)}}{605} - \frac{1264 \operatorname{re}{\left(x_{6}\right)}}{605} - \frac{23 \operatorname{re}{\left(x_{7}\right)}}{11} - \frac{113 \operatorname{re}{\left(x_{8}\right)}}{605} + \frac{794972}{605}$$ 
=
794972   1281*re(x3)   1264*re(x6)   889*re(x11)   684*re(x14)   676*re(x0)   448*re(x12)   402*re(x1)   265*re(x2)   223*re(x10)   213*re(x13)   147*re(x4)   114*re(x5)   113*re(x8)   23*re(x7)   I*(113*im(x8) + 114*im(x5) + 223*im(x10) + 402*im(x1) + 448*im(x12) + 676*im(x0) + 684*im(x14) + 735*im(x4) + 889*im(x11) + 1065*im(x13) + 1264*im(x6) + 1265*im(x7) + 1281*im(x3) + 1325*im(x2))
------ - ----------- - ----------- - ----------- - ----------- - ---------- - ----------- - ---------- - ---------- - ----------- - ----------- - ---------- - ---------- - ---------- - --------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
 605         605           605           605           605          605           605          605          121           605           121          121          605          605           11                                                                                                     605
$$- \frac{i \left(676 \operatorname{im}{\left(x_{0}\right)} + 402 \operatorname{im}{\left(x_{1}\right)} + 223 \operatorname{im}{\left(x_{10}\right)} + 889 \operatorname{im}{\left(x_{11}\right)} + 448 \operatorname{im}{\left(x_{12}\right)} + 1065 \operatorname{im}{\left(x_{13}\right)} + 684 \operatorname{im}{\left(x_{14}\right)} + 1325 \operatorname{im}{\left(x_{2}\right)} + 1281 \operatorname{im}{\left(x_{3}\right)} + 735 \operatorname{im}{\left(x_{4}\right)} + 114 \operatorname{im}{\left(x_{5}\right)} + 1264 \operatorname{im}{\left(x_{6}\right)} + 1265 \operatorname{im}{\left(x_{7}\right)} + 113 \operatorname{im}{\left(x_{8}\right)}\right)}{605} - \frac{676 \operatorname{re}{\left(x_{0}\right)}}{605} - \frac{402 \operatorname{re}{\left(x_{1}\right)}}{605} - \frac{223 \operatorname{re}{\left(x_{10}\right)}}{605} - \frac{889 \operatorname{re}{\left(x_{11}\right)}}{605} - \frac{448 \operatorname{re}{\left(x_{12}\right)}}{605} - \frac{213 \operatorname{re}{\left(x_{13}\right)}}{121} - \frac{684 \operatorname{re}{\left(x_{14}\right)}}{605} - \frac{265 \operatorname{re}{\left(x_{2}\right)}}{121} - \frac{1281 \operatorname{re}{\left(x_{3}\right)}}{605} - \frac{147 \operatorname{re}{\left(x_{4}\right)}}{121} - \frac{114 \operatorname{re}{\left(x_{5}\right)}}{605} - \frac{1264 \operatorname{re}{\left(x_{6}\right)}}{605} - \frac{23 \operatorname{re}{\left(x_{7}\right)}}{11} - \frac{113 \operatorname{re}{\left(x_{8}\right)}}{605} + \frac{794972}{605}$$ 
794972/605 - 1281*re(x3)/605 - 1264*re(x6)/605 - 889*re(x11)/605 - 684*re(x14)/605 - 676*re(x0)/605 - 448*re(x12)/605 - 402*re(x1)/605 - 265*re(x2)/121 - 223*re(x10)/605 - 213*re(x13)/121 - 147*re(x4)/121 - 114*re(x5)/605 - 113*re(x8)/605 - 23*re(x7)/11 - i*(113*im(x8) + 114*im(x5) + 223*im(x10) + 402*im(x1) + 448*im(x12) + 676*im(x0) + 684*im(x14) + 735*im(x4) + 889*im(x11) + 1065*im(x13) + 1264*im(x6) + 1265*im(x7) + 1281*im(x3) + 1325*im(x2))/605
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