El profesor se sorprenderá mucho al ver tu solución correcta😉
3 2 2 2*x1 + 4*x1*x2 - 10*x1*x2 + x2 = c
a*x2^2 + b*x2 + c = 0
D = b^2 - 4 * a * c =
(-10*x1)^2 - 4 * (1 + 4*x1) * (-c + 2*x1^3) = 100*x1^2 - (4 + 16*x1)*(-c + 2*x1^3)
x21 = (-b + sqrt(D)) / (2*a)
x22 = (-b - sqrt(D)) / (2*a)
/ / _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ / _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ \ / _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ / _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ | | / 2 2 / / 3 3 2 3 2 4 4 3 2 2 2 2 \\| | / 2 2 / / 3 3 2 3 2 4 4 3 2 2 2 2 \\| | | / 2 2 / / 3 3 2 3 2 4 4 3 2 2 2 2 \\| | / 2 2 / / 3 3 2 3 2 4 4 3 2 2 2 2 \\| | | 4 / / 3 3 2 3 \ / 2 4 4 3 2 2 2 2 \ |atan2\2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c), - 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/|| | 4 / / 3 3 2 3 \ / 2 4 4 3 2 2 2 2 \ |atan2\2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c), - 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/|| | | 4 / / 3 3 2 3 \ / 2 4 4 3 2 2 2 2 \ |atan2\2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c), - 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/|| | 4 / / 3 3 2 3 \ / 2 4 4 3 2 2 2 2 \ |atan2\2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c), - 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/|| |(1 + 4*re(x1))*|5*im(x1) - \/ \2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c)/ + \- 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| 4*|5*re(x1) - \/ \2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c)/ + \- 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*im(x1)| (1 + 4*re(x1))*|5*re(x1) - \/ \2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c)/ + \- 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| 4*|5*im(x1) - \/ \2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c)/ + \- 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*im(x1) | \ \ 2 // \ \ 2 // | \ \ 2 // \ \ 2 // x21 = I*|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | 2 2 2 2 | 2 2 2 2 \ (1 + 4*re(x1)) + 16*im (x1) (1 + 4*re(x1)) + 16*im (x1) / (1 + 4*re(x1)) + 16*im (x1) (1 + 4*re(x1)) + 16*im (x1)
/ / _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ / _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ \ / _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ / _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ | | / 2 2 / / 3 3 2 3 2 4 4 3 2 2 2 2 \\| | / 2 2 / / 3 3 2 3 2 4 4 3 2 2 2 2 \\| | | / 2 2 / / 3 3 2 3 2 4 4 3 2 2 2 2 \\| | / 2 2 / / 3 3 2 3 2 4 4 3 2 2 2 2 \\| | | 4 / / 3 3 2 3 \ / 2 4 4 3 2 2 2 2 \ |atan2\2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c), - 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/|| | 4 / / 3 3 2 3 \ / 2 4 4 3 2 2 2 2 \ |atan2\2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c), - 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/|| | | 4 / / 3 3 2 3 \ / 2 4 4 3 2 2 2 2 \ |atan2\2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c), - 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/|| | 4 / / 3 3 2 3 \ / 2 4 4 3 2 2 2 2 \ |atan2\2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c), - 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/|| |(1 + 4*re(x1))*|5*im(x1) + \/ \2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c)/ + \- 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| 4*|5*re(x1) + \/ \2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c)/ + \- 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*im(x1)| (1 + 4*re(x1))*|5*re(x1) + \/ \2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c)/ + \- 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| 4*|5*im(x1) + \/ \2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c)/ + \- 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*im(x1) | \ \ 2 // \ \ 2 // | \ \ 2 // \ \ 2 // x22 = I*|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | 2 2 2 2 | 2 2 2 2 \ (1 + 4*re(x1)) + 16*im (x1) (1 + 4*re(x1)) + 16*im (x1) / (1 + 4*re(x1)) + 16*im (x1) (1 + 4*re(x1)) + 16*im (x1)
x22 = 4*(((-32*re(x1)^3*im(x1) - 6*re(x1)^2*im(x1) + 32*re(x1)*im(x1)^3 + 50*re(x1)*im(x1) + im(c) + 2*im(x1)^3 + 4*im(c*x1))^2 + (re(c) - 8*re(x1)^4 - 2*re(x1)^3 + 48*re(x1)^2*im(x1)^2 + 25*re(x1)^2 + 6*re(x1)*im(x1)^2 + 4*re(c*x1) - 8*im(x1)^4 - 25*im(x1)^2)^2)^(1/4)*sin(atan2(-32*re(x1)^3*im(x1) - 6*re(x1)^2*im(x1) + 32*re(x1)*im(x1)^3 + 50*re(x1)*im(x1) + im(c) + 2*im(x1)^3 + 4*im(c*x1, re(c) - 8*re(x1)^4 - 2*re(x1)^3 + 48*re(x1)^2*im(x1)^2 + 25*re(x1)^2 + 6*re(x1)*im(x1)^2 + 4*re(c*x1) - 8*im(x1)^4 - 25*im(x1)^2)/2) + 5*im(x1))*im(x1)/((4*re(x1) + 1)^2 + 16*im(x1)^2) + (((-32*re(x1)^3*im(x1) - 6*re(x1)^2*im(x1) + 32*re(x1)*im(x1)^3 + 50*re(x1)*im(x1) + im(c) + 2*im(x1)^3 + 4*im(c*x1))^2 + (re(c) - 8*re(x1)^4 - 2*re(x1)^3 + 48*re(x1)^2*im(x1)^2 + 25*re(x1)^2 + 6*re(x1)*im(x1)^2 + 4*re(c*x1) - 8*im(x1)^4 - 25*im(x1)^2)^2)^(1/4)*cos(atan2(-32*re(x1)^3*im(x1) - 6*re(x1)^2*im(x1) + 32*re(x1)*im(x1)^3 + 50*re(x1)*im(x1) + im(c) + 2*im(x1)^3 + 4*im(c*x1), re(c) - 8*re(x1)^4 - 2*re(x1)^3 + 48*re(x1)^2*im(x1)^2 + 25*re(x1)^2 + 6*re(x1)*im(x1)^2 + 4*re(c*x1) - 8*im(x1)^4 - 25*im(x1)^2)/2) + 5*re(x1))*(4*re(x1) + 1)/((4*re(x1) + 1)^2 + 16*im(x1)^2) + i*((((-32*re(x1)^3*im(x1) - 6*re(x1)^2*im(x1) + 32*re(x1)*im(x1)^3 + 50*re(x1)*im(x1) + im(c) + 2*im(x1)^3 + 4*im(c*x1))^2 + (re(c) - 8*re(x1)^4 - 2*re(x1)^3 + 48*re(x1)^2*im(x1)^2 + 25*re(x1)^2 + 6*re(x1)*im(x1)^2 + 4*re(c*x1) - 8*im(x1)^4 - 25*im(x1)^2)^2)^(1/4)*sin(atan2(-32*re(x1)^3*im(x1) - 6*re(x1)^2*im(x1) + 32*re(x1)*im(x1)^3 + 50*re(x1)*im(x1) + im(c) + 2*im(x1)^3 + 4*im(c*x1), re(c) - 8*re(x1)^4 - 2*re(x1)^3 + 48*re(x1)^2*im(x1)^2 + 25*re(x1)^2 + 6*re(x1)*im(x1)^2 + 4*re(c*x1) - 8*im(x1)^4 - 25*im(x1)^2)/2) + 5*im(x1))*(4*re(x1) + 1)/((4*re(x1) + 1)^2 + 16*im(x1)^2) - 4*(((-32*re(x1)^3*im(x1) - 6*re(x1)^2*im(x1) + 32*re(x1)*im(x1)^3 + 50*re(x1)*im(x1) + im(c) + 2*im(x1)^3 + 4*im(c*x1))^2 + (re(c) - 8*re(x1)^4 - 2*re(x1)^3 + 48*re(x1)^2*im(x1)^2 + 25*re(x1)^2 + 6*re(x1)*im(x1)^2 + 4*re(c*x1) - 8*im(x1)^4 - 25*im(x1)^2)^2)^(1/4)*cos(atan2(-32*re(x1)^3*im(x1) - 6*re(x1)^2*im(x1) + 32*re(x1)*im(x1)^3 + 50*re(x1)*im(x1) + im(c) + 2*im(x1)^3 + 4*im(c*x1), re(c) - 8*re(x1)^4 - 2*re(x1)^3 + 48*re(x1)^2*im(x1)^2 + 25*re(x1)^2 + 6*re(x1)*im(x1)^2 + 4*re(c*x1) - 8*im(x1)^4 - 25*im(x1)^2)/2) + 5*re(x1))*im(x1)/((4*re(x1) + 1)^2 + 16*im(x1)^2)))