Ola łαvi

a1) |x² – 3x – 4| ≤ 6

x² - 3x - 10 ≤ 0

delta

d² = 9 + 40 = 49

d = 7

x1 = (3 + 7)/2 = 5

x2 = (3 - 7)/2 = -2

-2 ≤ x ≤ 5

a2) |x² – 3x – 4| ≤ -6

x² - 3x + 2 ≤ 0

delta

d² = 9 - 8 = 1

d = 1

x1 = (3 + 1)/2 = 2

x2 = (3 - 1)/2 = 1

1 ≤ x ≤ 2

b1) |x² – x – 4| > 2

x² - x - 6 > 0

delta

d² = 1 + 24 = 25

d = 5

x1 = (1 + 5)/2 = 3

x2 = (1 - 5)/2 = -2

x > 3

x < -2

b2) |x² – x – 4| > -2

x² - x - 2 > 0

delta

d² = 1 + 8 = 9

d = 3

x1 = (1 + 3)/2 = 2

x2 = (1 - 3)/2 = -1

x > 2

x < -1

pronto