Question

Resolva as seguintes inequações:

a) (5x + 2)(2 - x)(4x + 3) > 0

b) (3x + 2)(-3x + 4)(x - 6) < 0

Answer 1

a) (2-x) (20x² +15x + 8x + 6) >
(2-x) (20x² + 23x + 6) > 0
40x² + 46x + 12 - 20x² - 23x² -6x) > 0
-3x² +40x + 12 > 0
delta: 1600 - 4(-3) 12
delta: 1600 + 144
delta: 1744