El profesor se sorprenderá mucho al ver tu solución correcta😉
a*x^2 + b*x + c = 0
D = b^2 - 4 * a * c =
(-7)^2 - 4 * (1) * (3 + y^2) = 37 - 4*y^2
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
________________________________________________ ________________________________________________ / 2 / / 2 2 \\ / 2 / / 2 2 \\ 4 / / 2 2 \ 2 2 |atan2\-8*im(y)*re(y), 37 - 4*re (y) + 4*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-8*im(y)*re(y), 37 - 4*re (y) + 4*im (y)/| \/ \37 - 4*re (y) + 4*im (y)/ + 64*im (y)*re (y) *cos|-----------------------------------------------| I*\/ \37 - 4*re (y) + 4*im (y)/ + 64*im (y)*re (y) *sin|-----------------------------------------------| 7 \ 2 / \ 2 / x1 = - - --------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------- 2 2 2
________________________________________________ ________________________________________________ / 2 / / 2 2 \\ / 2 / / 2 2 \\ 4 / / 2 2 \ 2 2 |atan2\-8*im(y)*re(y), 37 - 4*re (y) + 4*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-8*im(y)*re(y), 37 - 4*re (y) + 4*im (y)/| \/ \37 - 4*re (y) + 4*im (y)/ + 64*im (y)*re (y) *cos|-----------------------------------------------| I*\/ \37 - 4*re (y) + 4*im (y)/ + 64*im (y)*re (y) *sin|-----------------------------------------------| 7 \ 2 / \ 2 / x2 = - + --------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------- 2 2 2
x2 = i*((-4*re(y)^2 + 4*im(y)^2 + 37)^2 + 64*re(y)^2*im(y)^2)^(1/4)*sin(atan2(-8*re(y)*im(y, -4*re(y)^2 + 4*im(y)^2 + 37)/2)/2 + ((-4*re(y)^2 + 4*im(y)^2 + 37)^2 + 64*re(y)^2*im(y)^2)^(1/4)*cos(atan2(-8*re(y)*im(y), -4*re(y)^2 + 4*im(y)^2 + 37)/2)/2 + 7/2)
suma
________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ / 2 / / 2 2 \\ / 2 / / 2 2 \\ / 2 / / 2 2 \\ / 2 / / 2 2 \\ 4 / / 2 2 \ 2 2 |atan2\-8*im(y)*re(y), 37 - 4*re (y) + 4*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-8*im(y)*re(y), 37 - 4*re (y) + 4*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-8*im(y)*re(y), 37 - 4*re (y) + 4*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-8*im(y)*re(y), 37 - 4*re (y) + 4*im (y)/| \/ \37 - 4*re (y) + 4*im (y)/ + 64*im (y)*re (y) *cos|-----------------------------------------------| I*\/ \37 - 4*re (y) + 4*im (y)/ + 64*im (y)*re (y) *sin|-----------------------------------------------| \/ \37 - 4*re (y) + 4*im (y)/ + 64*im (y)*re (y) *cos|-----------------------------------------------| I*\/ \37 - 4*re (y) + 4*im (y)/ + 64*im (y)*re (y) *sin|-----------------------------------------------| 7 \ 2 / \ 2 / 7 \ 2 / \ 2 / - - --------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------- + - + --------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------- 2 2 2 2 2 2
=
7
producto
/ ________________________________________________ ________________________________________________ \ / ________________________________________________ ________________________________________________ \ | / 2 / / 2 2 \\ / 2 / / 2 2 \\| | / 2 / / 2 2 \\ / 2 / / 2 2 \\| | 4 / / 2 2 \ 2 2 |atan2\-8*im(y)*re(y), 37 - 4*re (y) + 4*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-8*im(y)*re(y), 37 - 4*re (y) + 4*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-8*im(y)*re(y), 37 - 4*re (y) + 4*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-8*im(y)*re(y), 37 - 4*re (y) + 4*im (y)/|| | \/ \37 - 4*re (y) + 4*im (y)/ + 64*im (y)*re (y) *cos|-----------------------------------------------| I*\/ \37 - 4*re (y) + 4*im (y)/ + 64*im (y)*re (y) *sin|-----------------------------------------------|| | \/ \37 - 4*re (y) + 4*im (y)/ + 64*im (y)*re (y) *cos|-----------------------------------------------| I*\/ \37 - 4*re (y) + 4*im (y)/ + 64*im (y)*re (y) *sin|-----------------------------------------------|| |7 \ 2 / \ 2 /| |7 \ 2 / \ 2 /| |- - --------------------------------------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------|*|- + --------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------| \2 2 2 / \2 2 2 /
=
2 2 3 + re (y) - im (y) + 2*I*im(y)*re(y)
3 + re(y)^2 - im(y)^2 + 2*i*im(y)*re(y)