A = (2X - 3)2 - (X + (X + 5) + 2 = 4X2 - 12X + 9 - X2 - 6X - 5 + 2 = 3X2 - 18X + 6 = 3(X2 - 6X + 2) = 3[(X - 3)2 - 7] ≥ 3
1) A = (2x - 3)
2
- (x + 1)(x + 5) + 2 = 4x2
- 12x + 9 - x2
- 6x - 5 + 2 = 3x2
- 18x + 6 = 3(x2
- 6x + 2) = 3[(x - 3)2
- 7] ≥ 3.(-7) = -21Dấu "=" xảy ra khi x - 3 = 0 ⇔ x = 3. Vậy MinA = -21 ⇔ x = 3