1. Daje Naj!!! a) (x+1)(2-x)=0 b) (x-3)(x+2)=6 c) (2x+1)(2-3x)=0 d) (3-x)(2x+1)=6
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A) x+1=0 v 2-x=0 x=-1 v x=2 b) x²+2x-3x-6=6 x²-x-12=0 Δ=1+4*12=49 x=1/2*(1+7)=4 v x=1/2*(1-7)=-3 c) 2x+1=0 v 2-3x=0 2x=-1 v 3x=2 x=-1/2 v x=2/3 d) 6x+3-2x²-x=6 -2x²+5x-3=0 Δ=25-4*2*3=1 x=-1/4*(-5-1)=6/4=1,5 v x=-1/4*(-5+1)=1
x+1=0 v 2-x=0
x=-1 v x=2
b)
x²+2x-3x-6=6
x²-x-12=0
Δ=1+4*12=49
x=1/2*(1+7)=4 v x=1/2*(1-7)=-3
c)
2x+1=0 v 2-3x=0
2x=-1 v 3x=2
x=-1/2 v x=2/3
d)
6x+3-2x²-x=6
-2x²+5x-3=0
Δ=25-4*2*3=1
x=-1/4*(-5-1)=6/4=1,5 v x=-1/4*(-5+1)=1