El profesor se sorprenderá mucho al ver tu solución correcta😉
(12*x - 1)*(6*x - 1)*(4*x - 1)*(3*x - 1) = 7
a*x^2 + b*x + c = 0
D = b^2 - 4 * a * c =
(-10)^2 - 4 * (24) * (3) = -188
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
a*x^2 + b*x + c = 0
D = b^2 - 4 * a * c =
(-15)^2 - 4 * (36) * (-2) = 513
x3 = (-b + sqrt(D)) / (2*a)
x4 = (-b - sqrt(D)) / (2*a)
____ 5 \/ 57 x1 = -- - ------ 24 24
____ 5 \/ 57 x2 = -- + ------ 24 24
____ 5 I*\/ 47 x3 = -- - -------- 24 24
____ 5 I*\/ 47 x4 = -- + -------- 24 24
x4 = 5/24 + sqrt(47)*i/24
suma
____ ____ ____ ____ 5 \/ 57 5 \/ 57 5 I*\/ 47 5 I*\/ 47 -- - ------ + -- + ------ + -- - -------- + -- + -------- 24 24 24 24 24 24 24 24
=
5/6
producto
/ ____\ / ____\ / ____\ / ____\ |5 \/ 57 | |5 \/ 57 | |5 I*\/ 47 | |5 I*\/ 47 | |-- - ------|*|-- + ------|*|-- - --------|*|-- + --------| \24 24 / \24 24 / \24 24 / \24 24 /
=
-1/144
-1/144
x1 = -0.106243101469615
x2 = 0.522909768136281
x3 = 0.208333333333333 - 0.28565227501671*i
x4 = 0.208333333333333 + 0.28565227501671*i
x4 = 0.208333333333333 + 0.28565227501671*i