El profesor se sorprenderá mucho al ver tu solución correcta😉
________________ 2 / 2 2*a - 4*a - 3 \/ x + 10*x + 26 = -------------- 2 a - 2*a - 8
a*x^2 + b*x + c = 0
D = b^2 - 4 * a * c =
(10)^2 - 4 * (1) * (26 - 9/(64 + a^4 - 12*a^2 - 4*a^3 + 32*a) - 24*a/(64 + a^4 - 12*a^2 - 4*a^3 + 32*a) - 4*a^2/(64 + a^4 - 12*a^2 - 4*a^3 + 32*a) - 4*a^4/(64 + a^4 - 12*a^2 - 4*a^3 + 32*a) + 16*a^3/(64 + a^4 - 12*a^2 - 4*a^3 + 32*a)) = -4 + 36/(64 + a^4 - 12*a^2 - 4*a^3 + 32*a) - 64*a^3/(64 + a^4 - 12*a^2 - 4*a^3 + 32*a) + 16*a^2/(64 + a^4 - 12*a^2 - 4*a^3 + 32*a) + 16*a^4/(64 + a^4 - 12*a^2 - 4*a^3 + 32*a) + 96*a/(64 + a^4 - 12*a^2 - 4*a^3 + 32*a)
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
/ / / 2\ / 2\\\ / / / 2\ / 2\\\ __________________________________________________________ | | |/ 2\ | |/ 2\ ||| __________________________________________________________ | | |/ 2\ | |/ 2\ ||| / 2 | | |\-3 - 4*a + 2*a / | |\-3 - 4*a + 2*a / ||| / 2 | | |\-3 - 4*a + 2*a / | |\-3 - 4*a + 2*a / ||| / / / 2\\ / 2\ |atan2|im|------------------|, -1 + re|------------------||| / / / 2\\ / 2\ |atan2|im|------------------|, -1 + re|------------------||| / | |/ 2\ || |/ 2\ | | | | 2 2| | 2 2||| / | |/ 2\ || |/ 2\ | | | | 2 2| | 2 2||| / | |\-3 - 4*a + 2*a / || 2|\-3 - 4*a + 2*a / | | \ \(-4 + a) *(2 + a) / \(-4 + a) *(2 + a) //| / | |\-3 - 4*a + 2*a / || 2|\-3 - 4*a + 2*a / | | \ \(-4 + a) *(2 + a) / \(-4 + a) *(2 + a) //| x1 = -5 - / |-1 + re|------------------|| + im |------------------| *cos|----------------------------------------------------------| - I* / |-1 + re|------------------|| + im |------------------| *sin|----------------------------------------------------------| 4 / | | 2 2|| | 2 2| \ 2 / 4 / | | 2 2|| | 2 2| \ 2 / \/ \ \(-4 + a) *(2 + a) // \(-4 + a) *(2 + a) / \/ \ \(-4 + a) *(2 + a) // \(-4 + a) *(2 + a) /
/ / / 2\ / 2\\\ / / / 2\ / 2\\\ __________________________________________________________ | | |/ 2\ | |/ 2\ ||| __________________________________________________________ | | |/ 2\ | |/ 2\ ||| / 2 | | |\-3 - 4*a + 2*a / | |\-3 - 4*a + 2*a / ||| / 2 | | |\-3 - 4*a + 2*a / | |\-3 - 4*a + 2*a / ||| / / / 2\\ / 2\ |atan2|im|------------------|, -1 + re|------------------||| / / / 2\\ / 2\ |atan2|im|------------------|, -1 + re|------------------||| / | |/ 2\ || |/ 2\ | | | | 2 2| | 2 2||| / | |/ 2\ || |/ 2\ | | | | 2 2| | 2 2||| / | |\-3 - 4*a + 2*a / || 2|\-3 - 4*a + 2*a / | | \ \(-4 + a) *(2 + a) / \(-4 + a) *(2 + a) //| / | |\-3 - 4*a + 2*a / || 2|\-3 - 4*a + 2*a / | | \ \(-4 + a) *(2 + a) / \(-4 + a) *(2 + a) //| x2 = -5 + / |-1 + re|------------------|| + im |------------------| *cos|----------------------------------------------------------| + I* / |-1 + re|------------------|| + im |------------------| *sin|----------------------------------------------------------| 4 / | | 2 2|| | 2 2| \ 2 / 4 / | | 2 2|| | 2 2| \ 2 / \/ \ \(-4 + a) *(2 + a) // \(-4 + a) *(2 + a) / \/ \ \(-4 + a) *(2 + a) // \(-4 + a) *(2 + a) /
x2 = i*((re((2*a^2 - 4*a - 3)^2/((a - 4)^2*(a + 2)^2)) - 1)^2 + im((2*a^2 - 4*a - 3)^2/((a - 4)^2*(a + 2)^2))^2)^(1/4)*sin(atan2(im((2*a^2 - 4*a - 3)^2/((a - 4)^2*(a + 2)^2), re((2*a^2 - 4*a - 3)^2/((a - 4)^2*(a + 2)^2)) - 1)/2) + ((re((2*a^2 - 4*a - 3)^2/((a - 4)^2*(a + 2)^2)) - 1)^2 + im((2*a^2 - 4*a - 3)^2/((a - 4)^2*(a + 2)^2))^2)^(1/4)*cos(atan2(im((2*a^2 - 4*a - 3)^2/((a - 4)^2*(a + 2)^2)), re((2*a^2 - 4*a - 3)^2/((a - 4)^2*(a + 2)^2)) - 1)/2) - 5)