y^1=c+log(x^2+2) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
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/ 2 / / -re(c) + re(y) -re(c) + re(y)\\ / 2 / / -re(c) + re(y) -re(c) + re(y)\\
4 / / -re(c) + re(y)\ 2 -2*re(c) + 2*re(y) |atan2\-e *sin(-im(y) + im(c)), -2 + cos(-im(y) + im(c))*e /| 4 / / -re(c) + re(y)\ 2 -2*re(c) + 2*re(y) |atan2\-e *sin(-im(y) + im(c)), -2 + cos(-im(y) + im(c))*e /|
x1 = - \/ \-2 + cos(-im(y) + im(c))*e / + sin (-im(y) + im(c))*e *cos|-------------------------------------------------------------------------------------| - I*\/ \-2 + cos(-im(y) + im(c))*e / + sin (-im(y) + im(c))*e *sin|-------------------------------------------------------------------------------------|
\ 2 / \ 2 /
x1=−i4(e−re(c)+re(y)cos(im(c)−im(y))−2)2+e−2re(c)+2re(y)sin2(im(c)−im(y))sin(2atan2(−e−re(c)+re(y)sin(im(c)−im(y)),e−re(c)+re(y)cos(im(c)−im(y))−2))−4(e−re(c)+re(y)cos(im(c)−im(y))−2)2+e−2re(c)+2re(y)sin2(im(c)−im(y))cos(2atan2(−e−re(c)+re(y)sin(im(c)−im(y)),e−re(c)+re(y)cos(im(c)−im(y))−2))
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/ 2 / / -re(c) + re(y) -re(c) + re(y)\\ / 2 / / -re(c) + re(y) -re(c) + re(y)\\
4 / / -re(c) + re(y)\ 2 -2*re(c) + 2*re(y) |atan2\-e *sin(-im(y) + im(c)), -2 + cos(-im(y) + im(c))*e /| 4 / / -re(c) + re(y)\ 2 -2*re(c) + 2*re(y) |atan2\-e *sin(-im(y) + im(c)), -2 + cos(-im(y) + im(c))*e /|
x2 = \/ \-2 + cos(-im(y) + im(c))*e / + sin (-im(y) + im(c))*e *cos|-------------------------------------------------------------------------------------| + I*\/ \-2 + cos(-im(y) + im(c))*e / + sin (-im(y) + im(c))*e *sin|-------------------------------------------------------------------------------------|
\ 2 / \ 2 /
x2=i4(e−re(c)+re(y)cos(im(c)−im(y))−2)2+e−2re(c)+2re(y)sin2(im(c)−im(y))sin(2atan2(−e−re(c)+re(y)sin(im(c)−im(y)),e−re(c)+re(y)cos(im(c)−im(y))−2))+4(e−re(c)+re(y)cos(im(c)−im(y))−2)2+e−2re(c)+2re(y)sin2(im(c)−im(y))cos(2atan2(−e−re(c)+re(y)sin(im(c)−im(y)),e−re(c)+re(y)cos(im(c)−im(y))−2))
x2 = i*((exp(-re(c) + re(y))*cos(im(c) - im(y)) - 2)^2 + exp(-2*re(c) + 2*re(y))*sin(im(c) - im(y))^2)^(1/4)*sin(atan2(-exp(-re(c) + re(y))*sin(im(c) - im(y), exp(-re(c) + re(y))*cos(im(c) - im(y)) - 2)/2) + ((exp(-re(c) + re(y))*cos(im(c) - im(y)) - 2)^2 + exp(-2*re(c) + 2*re(y))*sin(im(c) - im(y))^2)^(1/4)*cos(atan2(-exp(-re(c) + re(y))*sin(im(c) - im(y)), exp(-re(c) + re(y))*cos(im(c) - im(y)) - 2)/2))
Suma y producto de raíces
[src]
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/ 2 / / -re(c) + re(y) -re(c) + re(y)\\ / 2 / / -re(c) + re(y) -re(c) + re(y)\\ / 2 / / -re(c) + re(y) -re(c) + re(y)\\ / 2 / / -re(c) + re(y) -re(c) + re(y)\\
4 / / -re(c) + re(y)\ 2 -2*re(c) + 2*re(y) |atan2\-e *sin(-im(y) + im(c)), -2 + cos(-im(y) + im(c))*e /| 4 / / -re(c) + re(y)\ 2 -2*re(c) + 2*re(y) |atan2\-e *sin(-im(y) + im(c)), -2 + cos(-im(y) + im(c))*e /| 4 / / -re(c) + re(y)\ 2 -2*re(c) + 2*re(y) |atan2\-e *sin(-im(y) + im(c)), -2 + cos(-im(y) + im(c))*e /| 4 / / -re(c) + re(y)\ 2 -2*re(c) + 2*re(y) |atan2\-e *sin(-im(y) + im(c)), -2 + cos(-im(y) + im(c))*e /|
- \/ \-2 + cos(-im(y) + im(c))*e / + sin (-im(y) + im(c))*e *cos|-------------------------------------------------------------------------------------| - I*\/ \-2 + cos(-im(y) + im(c))*e / + sin (-im(y) + im(c))*e *sin|-------------------------------------------------------------------------------------| + \/ \-2 + cos(-im(y) + im(c))*e / + sin (-im(y) + im(c))*e *cos|-------------------------------------------------------------------------------------| + I*\/ \-2 + cos(-im(y) + im(c))*e / + sin (-im(y) + im(c))*e *sin|-------------------------------------------------------------------------------------|
\ 2 / \ 2 / \ 2 / \ 2 /
(−i4(e−re(c)+re(y)cos(im(c)−im(y))−2)2+e−2re(c)+2re(y)sin2(im(c)−im(y))sin(2atan2(−e−re(c)+re(y)sin(im(c)−im(y)),e−re(c)+re(y)cos(im(c)−im(y))−2))−4(e−re(c)+re(y)cos(im(c)−im(y))−2)2+e−2re(c)+2re(y)sin2(im(c)−im(y))cos(2atan2(−e−re(c)+re(y)sin(im(c)−im(y)),e−re(c)+re(y)cos(im(c)−im(y))−2)))+(i4(e−re(c)+re(y)cos(im(c)−im(y))−2)2+e−2re(c)+2re(y)sin2(im(c)−im(y))sin(2atan2(−e−re(c)+re(y)sin(im(c)−im(y)),e−re(c)+re(y)cos(im(c)−im(y))−2))+4(e−re(c)+re(y)cos(im(c)−im(y))−2)2+e−2re(c)+2re(y)sin2(im(c)−im(y))cos(2atan2(−e−re(c)+re(y)sin(im(c)−im(y)),e−re(c)+re(y)cos(im(c)−im(y))−2)))
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| / 2 / / -re(c) + re(y) -re(c) + re(y)\\ / 2 / / -re(c) + re(y) -re(c) + re(y)\\| | / 2 / / -re(c) + re(y) -re(c) + re(y)\\ / 2 / / -re(c) + re(y) -re(c) + re(y)\\|
| 4 / / -re(c) + re(y)\ 2 -2*re(c) + 2*re(y) |atan2\-e *sin(-im(y) + im(c)), -2 + cos(-im(y) + im(c))*e /| 4 / / -re(c) + re(y)\ 2 -2*re(c) + 2*re(y) |atan2\-e *sin(-im(y) + im(c)), -2 + cos(-im(y) + im(c))*e /|| |4 / / -re(c) + re(y)\ 2 -2*re(c) + 2*re(y) |atan2\-e *sin(-im(y) + im(c)), -2 + cos(-im(y) + im(c))*e /| 4 / / -re(c) + re(y)\ 2 -2*re(c) + 2*re(y) |atan2\-e *sin(-im(y) + im(c)), -2 + cos(-im(y) + im(c))*e /||
|- \/ \-2 + cos(-im(y) + im(c))*e / + sin (-im(y) + im(c))*e *cos|-------------------------------------------------------------------------------------| - I*\/ \-2 + cos(-im(y) + im(c))*e / + sin (-im(y) + im(c))*e *sin|-------------------------------------------------------------------------------------||*|\/ \-2 + cos(-im(y) + im(c))*e / + sin (-im(y) + im(c))*e *cos|-------------------------------------------------------------------------------------| + I*\/ \-2 + cos(-im(y) + im(c))*e / + sin (-im(y) + im(c))*e *sin|-------------------------------------------------------------------------------------||
\ \ 2 / \ 2 // \ \ 2 / \ 2 //
(−i4(e−re(c)+re(y)cos(im(c)−im(y))−2)2+e−2re(c)+2re(y)sin2(im(c)−im(y))sin(2atan2(−e−re(c)+re(y)sin(im(c)−im(y)),e−re(c)+re(y)cos(im(c)−im(y))−2))−4(e−re(c)+re(y)cos(im(c)−im(y))−2)2+e−2re(c)+2re(y)sin2(im(c)−im(y))cos(2atan2(−e−re(c)+re(y)sin(im(c)−im(y)),e−re(c)+re(y)cos(im(c)−im(y))−2)))(i4(e−re(c)+re(y)cos(im(c)−im(y))−2)2+e−2re(c)+2re(y)sin2(im(c)−im(y))sin(2atan2(−e−re(c)+re(y)sin(im(c)−im(y)),e−re(c)+re(y)cos(im(c)−im(y))−2))+4(e−re(c)+re(y)cos(im(c)−im(y))−2)2+e−2re(c)+2re(y)sin2(im(c)−im(y))cos(2atan2(−e−re(c)+re(y)sin(im(c)−im(y)),e−re(c)+re(y)cos(im(c)−im(y))−2)))
/ / I*(-im(y) + im(c)) -I*(-im(y) + im(c))\ -re(c) + re(y) / I*(-im(y) + im(c)) -I*(-im(y) + im(c))\ \
|-I*\- e + e /*e |e e | -re(c) + re(y)|
_________________________________________________________________ I*atan2|------------------------------------------------------------------, -2 + |------------------- + --------------------|*e |
/ -re(c) + re(y) -2*re(c) + 2*re(y) \ 2 \ 2 2 / /
-\/ 4 - 4*cos(-im(y) + im(c))*e + e *e
−e−2re(c)+2re(y)−4e−re(c)+re(y)cos(im(c)−im(y))+4eiatan2(−2i(−ei(im(c)−im(y))+e−i(im(c)−im(y)))e−re(c)+re(y),(2ei(im(c)−im(y))+2e−i(im(c)−im(y)))e−re(c)+re(y)−2)
-sqrt(4 - 4*cos(-im(y) + im(c))*exp(-re(c) + re(y)) + exp(-2*re(c) + 2*re(y)))*exp(i*atan2(-i*(-exp(i*(-im(y) + im(c))) + exp(-i*(-im(y) + im(c))))*exp(-re(c) + re(y))/2, -2 + (exp(i*(-im(y) + im(c)))/2 + exp(-i*(-im(y) + im(c)))/2)*exp(-re(c) + re(y))))