El profesor se sorprenderá mucho al ver tu solución correcta😉
(x - 2)*(x - 3)*(x - 4)*(x - 5) 13*(x - 1)*(x - 3)*(x - 4)*(x - 5) 29*(x - 1)*(x - 2)*(x - 4)*(x - 5) 49*(x - 1)*(x - 2)*(x - 3)*(x - 5) 73*(x - 1)*(x - 2)*(x - 3)*(x - 4) ------------------------------- + ---------------------------------- + ---------------------------------- + ---------------------------------- + ---------------------------------- = 0 24 -6 4 -6 24
a*x^2 + b*x + c = 0
D = b^2 - 4 * a * c =
(6)^2 - 4 * (2) * (-7) = 92
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
suma
____ ____ 3 \/ 23 3 \/ 23 - - + ------ + - - - ------ 2 2 2 2
=
-3
producto
/ ____\ / ____\ | 3 \/ 23 | | 3 \/ 23 | |- - + ------|*|- - - ------| \ 2 2 / \ 2 2 /
=
-7/2
-7/2
____ 3 \/ 23 x1 = - - + ------ 2 2
____ 3 \/ 23 x2 = - - - ------ 2 2
x2 = -sqrt(23)/2 - 3/2