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Subiectul 1, va rog!

Subiectul 1 Va Rog class=

Răspuns :

2) sol egale <=> Δ=0
Δ=[-(m-2)]²-4*1*4=0
Δ=m²-4m+4-16=m²-4m-12=0
   Δ'=16+48=64
m1=6
m2=-2

3) 2012!/2010! -2011!/2010!=2011*2012-2011=2011(2012-1)=2011*2011=2011²=pp

4) nr div 5:  0,5,10,15,20,25,30,35,40,45,50 - 11 nr
nr nediv=toate-div= 51-11=40(caz fav)
caz pos=51 nr

P=fav/pos=40/51
6) AB||CD <=> mAB=mCD

mAB=(yB-yA)/(xB-xA)=5-7/2-4=-2/-2=1
mCD=(yD-yC)/(xD-xC)=2-4/1-3=-2/-2=1

mAB=mCD  => AB||CD   qed