El profesor se sorprenderá mucho al ver tu solución correcta😉
2 log(2)*x - log(1/2)*x - 2 = 0
a*x^2 + b*x + c = 0
D = b^2 - 4 * a * c =
(log(2))^2 - 4 * (log(2)) * (-2) = log(2)^2 + 8*log(2)
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
____________ 1 \/ 8 + log(2) x1 = - - + -------------- 2 ________ 2*\/ log(2)
____________ 1 \/ 8 + log(2) x2 = - - - -------------- 2 ________ 2*\/ log(2)
x2 = -sqrt(log(2) + 8)/(2*sqrt(log(2))) - 1/2
suma
____________ ____________ 1 \/ 8 + log(2) 1 \/ 8 + log(2) - - + -------------- + - - - -------------- 2 ________ 2 ________ 2*\/ log(2) 2*\/ log(2)
=
-1
producto
/ ____________\ / ____________\ | 1 \/ 8 + log(2) | | 1 \/ 8 + log(2) | |- - + --------------|*|- - - --------------| | 2 ________ | | 2 ________ | \ 2*\/ log(2) / \ 2*\/ log(2) /
=
-2 ------ log(2)
-2/log(2)