El profesor se sorprenderá mucho al ver tu solución correcta😉
________ / 2 atan(y) = \/ 4 - x
a*x^2 + b*x + c = 0
D = b^2 - 4 * a * c =
(0)^2 - 4 * (-1) * (4 - atan(y)^2) = 16 - 4*atan(y)^2
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
suma
__________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ / 2 / / 2 2 \\ / 2 / / 2 2 \\ / 2 / / 2 2 \\ / 2 / / 2 2 \\ 4 / / 2 2 \ 2 2 |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/| 4 / / 2 2 \ 2 2 |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/| 4 / / 2 2 \ 2 2 |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/| 4 / / 2 2 \ 2 2 |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/| - \/ \4 + im (atan(y)) - re (atan(y))/ + 4*im (atan(y))*re (atan(y)) *cos|------------------------------------------------------------------| - I*\/ \4 + im (atan(y)) - re (atan(y))/ + 4*im (atan(y))*re (atan(y)) *sin|------------------------------------------------------------------| + \/ \4 + im (atan(y)) - re (atan(y))/ + 4*im (atan(y))*re (atan(y)) *cos|------------------------------------------------------------------| + I*\/ \4 + im (atan(y)) - re (atan(y))/ + 4*im (atan(y))*re (atan(y)) *sin|------------------------------------------------------------------| \ 2 / \ 2 / \ 2 / \ 2 /
=
0
producto
/ __________________________________________________________________ __________________________________________________________________ \ / __________________________________________________________________ __________________________________________________________________ \ | / 2 / / 2 2 \\ / 2 / / 2 2 \\| | / 2 / / 2 2 \\ / 2 / / 2 2 \\| | 4 / / 2 2 \ 2 2 |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/| 4 / / 2 2 \ 2 2 |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/|| |4 / / 2 2 \ 2 2 |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/| 4 / / 2 2 \ 2 2 |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/|| |- \/ \4 + im (atan(y)) - re (atan(y))/ + 4*im (atan(y))*re (atan(y)) *cos|------------------------------------------------------------------| - I*\/ \4 + im (atan(y)) - re (atan(y))/ + 4*im (atan(y))*re (atan(y)) *sin|------------------------------------------------------------------||*|\/ \4 + im (atan(y)) - re (atan(y))/ + 4*im (atan(y))*re (atan(y)) *cos|------------------------------------------------------------------| + I*\/ \4 + im (atan(y)) - re (atan(y))/ + 4*im (atan(y))*re (atan(y)) *sin|------------------------------------------------------------------|| \ \ 2 / \ 2 // \ \ 2 / \ 2 //
=
__________________________________________________________________ / 2 / 2 2 \ / / 2 2 \ 2 2 I*atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/ -\/ \4 + im (atan(y)) - re (atan(y))/ + 4*im (atan(y))*re (atan(y)) *e
-sqrt((4 + im(atan(y))^2 - re(atan(y))^2)^2 + 4*im(atan(y))^2*re(atan(y))^2)*exp(i*atan2(-2*im(atan(y))*re(atan(y)), 4 + im(atan(y))^2 - re(atan(y))^2))
__________________________________________________________________ __________________________________________________________________ / 2 / / 2 2 \\ / 2 / / 2 2 \\ 4 / / 2 2 \ 2 2 |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/| 4 / / 2 2 \ 2 2 |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/| x1 = - \/ \4 + im (atan(y)) - re (atan(y))/ + 4*im (atan(y))*re (atan(y)) *cos|------------------------------------------------------------------| - I*\/ \4 + im (atan(y)) - re (atan(y))/ + 4*im (atan(y))*re (atan(y)) *sin|------------------------------------------------------------------| \ 2 / \ 2 /
__________________________________________________________________ __________________________________________________________________ / 2 / / 2 2 \\ / 2 / / 2 2 \\ 4 / / 2 2 \ 2 2 |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/| 4 / / 2 2 \ 2 2 |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/| x2 = \/ \4 + im (atan(y)) - re (atan(y))/ + 4*im (atan(y))*re (atan(y)) *cos|------------------------------------------------------------------| + I*\/ \4 + im (atan(y)) - re (atan(y))/ + 4*im (atan(y))*re (atan(y)) *sin|------------------------------------------------------------------| \ 2 / \ 2 /
x2 = i*((-re(atan(y))^2 + im(atan(y))^2 + 4)^2 + 4*re(atan(y))^2*im(atan(y))^2)^(1/4)*sin(atan2(-2*re(atan(y))*im(atan(y), -re(atan(y))^2 + im(atan(y))^2 + 4)/2) + ((-re(atan(y))^2 + im(atan(y))^2 + 4)^2 + 4*re(atan(y))^2*im(atan(y))^2)^(1/4)*cos(atan2(-2*re(atan(y))*im(atan(y)), -re(atan(y))^2 + im(atan(y))^2 + 4)/2))