Răspuns:
Explicație pas cu pas:
x²+bx+c=0
1.Aplicam Viete : x1+x2=-b consideram a=0 x1x2=c
x1=3 x2=1 -b=3+1=4 c=3×1=3
x²-4x+3=0
2. x1=-2 x2=-1
x1+x2=-2-1=-3 b=3 x1x2=2 c=2
x²+3x+2=0
3. x1=2 x2=-3
x1+x2=2-3=-1 b=1
x1x2=-6 c=-6
x²+x-6=0
X²-SX+P=0 S suma = 3+1=4 ; P produsul =3 x 1=3 ; X²-4X+3=0 ; 2) S=-2-1=-3 ; P=-2 x (-1)=2 ; X²+3X+2=0 ; 3 ) S=2-3=-1 ; P=-3 x 2=-6 ; X²+X-6=0
