Wyznacz pierwiastki wielomianu
g(x)= ½(x+3)(2x-1)+(3x-1)(2x-1)
=(2x-1)(½(x+3)+(3x-1))
=(2x-1)(½x+1,5+3x-1)=
=(2x-1)3,5x+0,5)
= ½(2x-1)(7x+1)
wyliczamy pierwiastki wielomianu: 2x-1=0 to x = ½
7x+1=0 to x=-1/7
1/2(x+3)(2x-1)+(3x-1)(2x-1)=0
(2x-1)[1/2(x+3)+(3x-1)]=0
(2x-1)(1/2x+3/2+3x-1)=0
(2x-1)(7/2x+1/2)=0
2x-1=0 ∨ 7/2x +1/2=0
2x=1 ∨ 7/2x=-1/2
x=1/2 ∨ x=-1/7
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g(x)= ½(x+3)(2x-1)+(3x-1)(2x-1)
=(2x-1)(½(x+3)+(3x-1))
=(2x-1)(½x+1,5+3x-1)=
=(2x-1)3,5x+0,5)
= ½(2x-1)(7x+1)
wyliczamy pierwiastki wielomianu: 2x-1=0 to x = ½
7x+1=0 to x=-1/7
1/2(x+3)(2x-1)+(3x-1)(2x-1)=0
(2x-1)[1/2(x+3)+(3x-1)]=0
(2x-1)(1/2x+3/2+3x-1)=0
(2x-1)(7/2x+1/2)=0
2x-1=0 ∨ 7/2x +1/2=0
2x=1 ∨ 7/2x=-1/2
x=1/2 ∨ x=-1/7