Rozwiąż równania
6x2+x-1=0
X3-2x2-9x+18=0
a)
6x²+x-1=0
Δ=1²-4*6*(-1)=1+24=25
√Δ=5
x₁=(-1+5)/12=4/12=⅓
x₂=(-1-5)/12=-6/12=-½
b)
X³-2x²-9x+18=0
x²(x-2)-9(x-2)=0
(x-2)(x²-9)=0
(x-2)(x-3)(x+3)=0
x=2 ∨ x=3 ∨ x=-3
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a)
6x²+x-1=0
Δ=1²-4*6*(-1)=1+24=25
√Δ=5
x₁=(-1+5)/12=4/12=⅓
x₂=(-1-5)/12=-6/12=-½
b)
X³-2x²-9x+18=0
x²(x-2)-9(x-2)=0
(x-2)(x²-9)=0
(x-2)(x-3)(x+3)=0
x=2 ∨ x=3 ∨ x=-3