rozwiaz równania
b) 4x²-3x³=2-5x
c)3x²+9x=2x³+10
d) 7x²=2x³+9
-3x³+4x²+5x-2=0
W(2)=0
(x-2)(3x²+2x-1)=0
(x-2)(3x²+3x-x-1)=0
(x-2)(3x(x+1)-(x+1))=0
(x-2)(x+1)(3x-1)=0
x=2 v x=-1 v x=1/3
-2x³+3x²+9x-10=0
W(1)=0
(x-1)(-2x²+x+10)=0
Δ=1+80=81
x=2,5 v x= -2
(x-1)(x-2,5)(x+2)=0
Odp. x=1 v x=-2 v x=2,5
-2x³+7x²-9=0
-2x³-2x²+9x²-9=0
-2x²(x+1)+9(x²-1)=0
-2x²(x+1)+9(x+1)(x-1)=0
(x+1)(-2x²+9x-9)=0
x=-1 v Δ=81-72=9
x=3 v x=1,5
odp. x=-1 v x=1,5 v x=3
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-3x³+4x²+5x-2=0
W(2)=0
(x-2)(3x²+2x-1)=0
(x-2)(3x²+3x-x-1)=0
(x-2)(3x(x+1)-(x+1))=0
(x-2)(x+1)(3x-1)=0
x=2 v x=-1 v x=1/3
-2x³+3x²+9x-10=0
W(1)=0
(x-1)(-2x²+x+10)=0
Δ=1+80=81
x=2,5 v x= -2
(x-1)(x-2,5)(x+2)=0
Odp. x=1 v x=-2 v x=2,5
-2x³+7x²-9=0
-2x³-2x²+9x²-9=0
-2x²(x+1)+9(x²-1)=0
-2x²(x+1)+9(x+1)(x-1)=0
(x+1)(-2x²+9x-9)=0
x=-1 v Δ=81-72=9
x=3 v x=1,5
odp. x=-1 v x=1,5 v x=3