El profesor se sorprenderá mucho al ver tu solución correcta😉
a*y^2 + b*y + c = 0
D = b^2 - 4 * a * c =
(0)^2 - 4 * (-1 + x^2) * (x^2) = -x^2*(-4 + 4*x^2)
y1 = (-b + sqrt(D)) / (2*a)
y2 = (-b - sqrt(D)) / (2*a)
suma
/ _________\ / _________\ / _________\ / _________\ | / -1 | | / -1 | | / -1 | | / -1 | - re|x* / ------- | - I*im|x* / ------- | + I*im|x* / ------- | + re|x* / ------- | | / 2 | | / 2 | | / 2 | | / 2 | \ \/ -1 + x / \ \/ -1 + x / \ \/ -1 + x / \ \/ -1 + x /
=
0
producto
/ / _________\ / _________\\ / / _________\ / _________\\ | | / -1 | | / -1 || | | / -1 | | / -1 || |- re|x* / ------- | - I*im|x* / ------- ||*|I*im|x* / ------- | + re|x* / ------- || | | / 2 | | / 2 || | | / 2 | | / 2 || \ \ \/ -1 + x / \ \/ -1 + x // \ \ \/ -1 + x / \ \/ -1 + x //
=
2 / / _________\ / _________\\ | | / -1 | | / -1 || -|I*im|x* / ------- | + re|x* / ------- || | | / 2 | | / 2 || \ \ \/ -1 + x / \ \/ -1 + x //
-(i*im(x*sqrt(-1/(-1 + x^2))) + re(x*sqrt(-1/(-1 + x^2))))^2
/ _________\ / _________\ | / -1 | | / -1 | y1 = - re|x* / ------- | - I*im|x* / ------- | | / 2 | | / 2 | \ \/ -1 + x / \ \/ -1 + x /
/ _________\ / _________\ | / -1 | | / -1 | y2 = I*im|x* / ------- | + re|x* / ------- | | / 2 | | / 2 | \ \/ -1 + x / \ \/ -1 + x /
y2 = re(x*sqrt(-1/(x^2 - 1))) + i*im(x*sqrt(-1/(x^2 - 1)))