El profesor se sorprenderá mucho al ver tu solución correcta😉
(2*x - 3)*(5*x + 1) - (x - 6)*(x + 6) + 13 = 0
a*x^2 + b*x + c = 0
D = b^2 - 4 * a * c =
(-13)^2 - 4 * (9) * (46) = -1487
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
suma
______ ______ 13 I*\/ 1487 13 I*\/ 1487 -- - ---------- + -- + ---------- 18 18 18 18
=
13/9
producto
/ ______\ / ______\ |13 I*\/ 1487 | |13 I*\/ 1487 | |-- - ----------|*|-- + ----------| \18 18 / \18 18 /
=
46/9
46/9
______ 13 I*\/ 1487 x1 = -- - ---------- 18 18
______ 13 I*\/ 1487 x2 = -- + ---------- 18 18
x2 = 13/18 + sqrt(1487)*i/18
x1 = 0.722222222222222 - 2.1423132760732*i
x2 = 0.722222222222222 + 2.1423132760732*i
x2 = 0.722222222222222 + 2.1423132760732*i