Question

11.Simplificati rapoartele:1)x²+8x+12 supra x²+5x-6
2)x²-5x+6 supra x²-7x+12
3)x²-x-12 supra x²-2x-8

Answer 1

1)x²+8x+12 supra x²+5x-6 1.x²+8x+12 =(x+6)(x+2) ; delta=64-48=16;x1=-6;x2=-2; 2.x²+5x-6=(x+6)(x-1); delta=25+24=49;x1=-6;x2=1; 3. (x+6)(x+2)supra (x+6)(x-1)=(x+2) supra (x-1) 2)x²-5x+6 supra x²-7x+12 1.x²-5x+6=(x-2)(x-3) ; delta=25-24=1;x1=2;x2=3 2. x²-7x+12 =(x-3)(x-4) ; delta=49-48=1;x1=3;x2=4 3.(x-2)(x-3) supra (x-3)(x-4) =(x-2) supra (x-4) 3)x²-x-12 supra x²-2x-8 1.x²-x-12 =(x+3)(x-4); delta=1+48=49;x1=-3;x2=4; 2. x²-2x-8 =(x+2)(x-4) ; delta=4+32=36;x1=-2;x2=4 3.(x+3)(x-4) supra (x+2)(x-4)= (x+3) supra (x+2)