ax² + bx + c
D = b² - 4ac
x₁ =
x₂ =
Объяснение:
2) x² + 4x = 0
x(x+4) = 0
x = 0 и x+4=0
x= -4
3) 3x² + 7x + 2 = 0
D = 7² - 4 × 3 ×2 = 49 - 24 = 25 - 2 корня
x₁ = = = =
x₂ = = = = 2
4) x² - 8x + 16 = 0
D = 8² - 4 × 1 × 16 = 64 - 64 = 0 - один корень
x = = = = 4
5) x² + x + 3 = 0
D = 1² - 4 × 1 × 3 = 1 - 12 = - 11 < 0 - корней нет
6) 3x² - x - 5 = 0
D = 1² - 4 × 3 × 5 = 1 - 60 = -59 < 0 - корней нет
ax² + bx + c
D = b² - 4ac
x₁ =
x₂ =
Объяснение:
2) x² + 4x = 0
x(x+4) = 0
x = 0 и x+4=0
x= -4
3) 3x² + 7x + 2 = 0
D = 7² - 4 × 3 ×2 = 49 - 24 = 25 - 2 корня
x₁ = = = =
x₂ = = = = 2
4) x² - 8x + 16 = 0
D = 8² - 4 × 1 × 16 = 64 - 64 = 0 - один корень
x = = = = 4
5) x² + x + 3 = 0
D = 1² - 4 × 1 × 3 = 1 - 12 = - 11 < 0 - корней нет
6) 3x² - x - 5 = 0
D = 1² - 4 × 3 × 5 = 1 - 60 = -59 < 0 - корней нет