TAMA O MALI; May f (x) = 6acx³ + 4bcx² + 9adx + 6bd dalawang kabaligtaran na zero kung c xxd> 0? Salamat!

Sagot:

Tingnan sa ibaba.

Paliwanag:

(6a) x ^ 2 + (9d) / (6c) x + (bd) / (ac) = 0 # o

# x ^ 3 + (2b) / (3a) x ^ 2 + (3d) / (2c) x + (bd) / (ac) = 0 #

Ngayon kung ang dalawang ugat ay may tapat na mga palatandaan ng formula ni Vieta

- (x_1-x_1 + x_3) = (2b) / (3a)), (- x_1 ^ 2 + x_1 x_3 - x_1 x_3 = (3d) / (2c)), (- (- x_1 ^ 2 x_3) = (bd) / (ac)):} #

o

# x3 = - (2b) / (3a)), (x_1 ^ 2 = - (3d) / (2c)), (x_1 ^ 2 x_3 = (bd) / (ac)

o pagtatapos

#d <0, c <0 rArr dc> 0 #