1)x²-4x+3=(x-3)(x-1) x1+x2=4 U x1*x2=3⇒x1=3 U x2=1 3)x²+3x-10=(x+5)(x-2) x1+x2=-3 U x1*x2=-10⇒x1=-5 U x2=2 5)9x²-3x-2=9(x+1/3)(x-2/3)=(3x+1)(3x-2) D=9+72=81 x1=(3-9)/18=-1/3 U x2=(3+9)/18=2/3
1)x²-7,1x+10,5=(x-2,1)(x-5) D=50,41-42=8,41 x1=(7,1-2,9)/2=2,1 U x2=(7,1+2,9)/2=5 3)21x²-13x+2=21(x-2/7)(x-1/3)=(7x-2)(3x-1) D=169-168=1 x1=(13-1)/42=2/7 U x2=(13+1)/42=1/3 5)-24x²-5x+1=-24(x-1/8)(x+1/3)=-(8x-1)(3x+1)=(1-8x)(3x+1) D=25+96=121 x1=(5-11)/-48=1/8 U x2=(5+11)/-48=-1/3