wyznacz pierwiastki wielomianu W(x)=
w(x)=4x²(x-3)-(x-3)=(4x²-1)(x-3)=(2x-1)(2x+1)(x-3)
x1=1/2
x2=-1/2
x3=3
licze na naj
4x³-12x²-x+3=0
4x²(x-3)-1(x-3)=0
(4x²-1)(x-3)=0
4x²-1=0 ∨ x-3=0
x² = ¼ ∨ x=3
x = ½ v x=-½ v x=3
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w(x)=4x²(x-3)-(x-3)=(4x²-1)(x-3)=(2x-1)(2x+1)(x-3)
x1=1/2
x2=-1/2
x3=3
licze na naj
4x³-12x²-x+3=0
4x²(x-3)-1(x-3)=0
(4x²-1)(x-3)=0
4x²-1=0 ∨ x-3=0
x² = ¼ ∨ x=3
x = ½ v x=-½ v x=3