Odpowiedzi

2009-11-12T11:46:21+01:00
W(x) = x⁴ - x³ - 6x² = x² ( x² - x - 6)

x² - x - 6 = 0
Δ = 1 + 24 = 25
√Δ = 5
x₁ = (1 - 5) : 2 = -4 : 2 = -2
x₂ = (1 + 5) : 2 = 6 : 2 = 3

x² - x - 6 = (x-3)(x+2)

W(x) = x²(x-3)(x+2) =0 <=> x = 0 lub x = 3 lub x = -2